Instytut Fizyki Teoretycznej

N=2 Supercomplexification of the Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt Equations,
Z Popowicz
J. Nonlinear Math. Phys. 26, 294, 2019
A four component cubic peakon (4CH) equation,
Z. Popowicz
J Phys A: Math Theor 50, 285204, 2017
Lax representations for matrix short pulse equations,
Z. Popowicz
J Math. Phys. 58, 103506, 2017
Double extended cubic peakon equation,
Z. Popowicz
Phys. Lett. A 379, 1240–1245, 2015
A four-component Camassa–Holm type hierarchy,
N. Li, Q.P. Liu, Z. Popowicz,
J. Geom. Phys. 85, 29–39, 2014
Two-component coupled KdV equations and its connection with the generalized Harry Dym equations,
Z. Popowicz
J. Math. Phys. 55, 013506, 2014
A non-standard Lax formulation of the Harry Dym hierarchy and its supersymmetric extension,,
K. Tian, Z. Popowicz, Q. P. Liu,
J. Phys. A: Math. Theor. 45, 122001, 2012,
The Applications of the Superconformal Transformation in the Integrable Models,,
Z. Popowicz,
Vestnik. Tomsk State Pedagogical University Bulletin 134 - 138, 2012,
The matrix Lax representation of the generalized Riemann equations and its conservation laws,,
Z. Popowicz,
Phys. Lett. A 375, 3268-3272, 2011, arXiv:1106.1274
Differential-algebraic integrability analysis of the generalized Riemann type and Korteweg–de Vries hydrodynamical equations.,
A. K Prykarpatsky, O. D Artemovych, Z. Popowicz, M. V Pavlov,
J. Phys. A: Math. Theor. 43, 295205, 2010.
On a Nonlocal Ostrovsky-Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability. ,
J. Golenia, M. Pavlov, Z. Popowicz, A.K. Prykarpatsky
Proc. of the Eight International Conference “Symmetry in Nonlinear Mathematical Physics” (June 21-27, 2009, Kyiv, Ukraine), SIGMA 6, 002, 2010.
Supersymmetric reciprocal transformation and its applications.,
Q. P. Liu, Z. Popowicz, K. Tian,
J. Math. Phys. 51, 9, 093511, 2010.
The even and odd supersymmetric Hunter–Saxton and Liouville equations.,
Q.P. Liu, Z. Popowicz, K. Tian,
Phys.Lett. A 375, 1, 29-35, 2010.
The Integrability of New Two-Component KdV Equation ,
Z. Popowicz,
Proc. of the XVIII-th International Colloquium on Integrable Systems and Quantum Symmetries (June 18-20, 2009, Prague, Czech Republic) SIGMA 6, 018, 2010.
The non-polynomial conservation laws and integrability analysis of generalized Riemann type hydrodynamical equations.,
Z. Popowicz, A. K Prykarpatsky,
Nonlinearity 23, 10, 2517-2537, 2010.
Odd Hamiltonian structure for supersymmetric Sawada-Kotera equation,
Z. Popowicz
Phys. Lett. A373, 3315-3323, 2009.
On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems,
M. Pavlov, Z. Popowicz
Symmetry Integrability and Geometry-Methods and Applications 5, 011, (10pp), Proceedings of the XVII Int. Coll. on Integrable Systems and Quantum Symmetries (June19-22, Prague, Czech Republic), 2009.
A 2 - Component Generalization of the Degasperis-Procesi Equation,,
Z. Popowicz,
see: preprint nlin.SI/0604067,
A 2-Component or N=2 Supersymmetric Camassa-Holm Equation,,
Z. Popowicz,
Phys. Lett. A354, Iss.1-2, 110-114 (2006),
A 2-Component or N=2 Supersymmetric Camassa-Holm Equation,,
Z. Popowicz,
Phys. Lett. A354, 110–114 (2006) ,
A 2-Component or N=2 Supersymmetric Camassa-Holm Equation,,
Z. Popowicz,
Phys. Lett. A354, 110–114 (2006) see: preprint nlin.SI/0509050,
A Camassa-Holm Equation Interacted with the Degasperis-Procesi Equation,,
Z. Popowicz,
Czech. J. Phys. 56, 1263-1268 (2006),
A two-Component Generalization of the Degasperis- Procesi Equation,,
Z. Popowicz,
J. Phys.A.: Math. Gen. 39, 13717-13726 (2006) see: preprint nlin.SI/ 0604067,
A Nonliearly Dispersive Fifth Order Integrable Equation and Its Hierarchy,,
A. Das., Z. Popowicz,
J. Nonlinear Math. Phys. 12, 105–117 (2005) see: preprint nlin.SI/0404049,
N = 1, 2 Supersymmetric Non-Local Gas Equation,,
A. Das, Z. Popowicz,
Czech. J. Phys. 55, 1373–1378 (2005),
Supersymmetric Nonlocal Gas Equation,,
A. Das., Z. Popowicz,
J. Math. Phys. 46, 082702-1-10 (2005),
The sl(2n|2n)(l) Super-Toda Lattices and the Heavenly Equations as Continuum Limit,,
Z. Kuznetsova, Z. Popowicz, F. Toppan,
J. Phys.A. Math. Gen. 38, 7773–7784 (2005) see: preprint hep-th/0504214,
Bosonic Reduction of SUSY Generalized Harry Dym Equation,,
A. Das., Z. Popowicz,
J.Phys.A: Math. Gen. 37, 8031–8045 (2004) see: preprint nlin.SI/0404017,
Deformed Harry Dym and Hunter-Zheng Equations,,
J.C. Brunelli, A. Das, Z. Popowicz,
J. Math. Phys. 45, 2646–2655 (2004) see: preprint nlin.SI/0307043,
Supersymmetric and Deformed Harry Dym Hierarchies,,
J.C. Brunelli, A. Das, Z. Popowicz,
Proc.Int. Workshop on “Supersymmetries and Quantum Symmetries”, SQS’03, Dubna July 24-29-2003, Eds. E.A. Ivanov and A. Pashnev, p. 165-173 (2004) Dubna, Russia 2004 see: preprint hep-th/0311228,
Susy Generalized Harry Dym Equation and its Bosonic Reduction,,
A. Das, Z. Popowicz,
Czech. J. Phys. 54, 1209–1214 (2004),
Symboliczne Funkcjonalne Całkowanie,,
Z. Popowicz,
Komputerowe wspomaganie badań naukowych, XI KK KOWBAN ‘2004, Wrocław, 27–29–X–2004, Wrocławskie Towarzystwo Naukowe, pp.313–318 (2004),
The Two Component Kaup-Kupershmidt Equation,,
Z. Popowicz,
J. Phys. A: Math. Gen. 37, L511–L516 (2004) ,
A Benney – Like Lattice,,
O.A. Constandache, A. Das, Z. Popowicz,
Czech. J. Phys. 53, 1021–1026 (2003), Proc. XII Int. Colloquium “Quantum Groups and Integrable Systems”, Prague 2003,
Non Polynomial Conservation Law Densities Generates by the Symmetry Operators in Some Hydrodynamical Models,,
M.V. Pavlov, Z. Popowicz,
J. Phys. A: Math. Gen. 36, 8463–8472 (2003) see: preprint nlin.SI/0303067,
Supersymmetric Extensions of the Harry Dym Hierarchy,,
J.C. Brunelli, A. Das, Z. Popowicz,
J. Math. Phys. 44, 4756–4767 (2003) see: preprint nlin.SI/0304047,
The Generalized Harry Dym Equation,,
Z. Popowicz,
Phys. Lett. A317, 260–264 (2003),
The N = 2 Supersymmetric Heavenly Equation and Its Super-Hydrodynamical Reduction,,
Z. Popowicz, F. Toppan,
J. Phys. A: Math. Gen. 36, 9701–9709 (2003)
The Supersymmetric Dispersionless Systems,,
Z. Popowicz,
Workshop on Integrable Theories, Solitons and Duality, Sao Paulo Brazil 2002, Conference Proc. JHEP PrHEP: PRHEP-unesp 2002/030 19pp. (2003),
Alternative Dispersionless of N=2 Supersymmetric KdV-Type Hierarchies,,
A. Das., S. Krivonos, Z. Popowicz,
Phys. Lett. A302, 87–93 (2002),
Supersymmetric Polytropic Gas Dynamics,,
A. Das., Z. Popowicz,
Phys. Lett. A296, 15–26 (2002), see: preprint hep-th/0109223 ,
Properties of Moyal-Lax Representation,,
A. Das., Z. Popowicz,
Phys. Lett. B510, 264–270 (2001) see: preprint hep-th/0103063,
Properties of Moyal-Lax Representation,,
Z. Popowicz,
Czech. J. Phys. 51, 1426–1430) (2001),
Supersymmetric Moyal-Lax Representations,,
A. Das., Z. Popowicz,
J. Phys. A: Math. Gen. 34, 6105–6117 (2001) see: preprint hep-th/0104191,
Dispersionless sTB,,
A. Das., Z. Popowicz,
Phys. Lett. A272, 65–73 (2000) see: preprint nlin.SI/0002037,
Editors of: “New Symmetries and Integrable Models”,,
A. Frydryszak, J. Lukierski, Z. Popowicz,
“Karpacz, September 21–24 1996”, Proceedings XIV Max Born Symposium, Eds.: A. Frydryszak, J. Lukierski, Z. Popowicz, Eds. p, p. 246 (2000), World Scientific Publ., Singapore,,
Editors of: “New Symmetries and Integrable Models”,,
A. Frydryszak, J. Lukierski, Z. Popowicz,
“Karpacz, September 21–24 1996”, Proceedings XIV Max Born Symposium, Eds.: A. Frydryszak, J. Lukierski, Z. Popowicz, Eds. p, p. 246 (2000), World Scientific Publ., Singapore,,
New Nonlocal Charges in SUSY Integrable Models,,
A. Das., Z. Popowicz,
Phys. Lett. A274, 30–36 (2000) see: preprint nlin.SI/0004034,
Nonlocal Charges in SUSY Integrable Models,,
Z. Popowicz,
Czech. J. Phys. 50, 1341–1345 (2000),
The Supercomplexification and Odd Bihamiltonian Structures,,
Z. Popowicz,
SQS‘99, Proc. of JINR Workshop “Supersymmetry and Quantum Symmetries”, (July 1999, Dubna (Russia)), Eds. E. Ivanov et al., pp. 340–350 (2000) JINR Dubna see: preprint nlin.SI/0001028,
Generalization of Susy N=2 KDV Equation,,
Z. Popowicz,
“Classical and Quantum Integrable Systems", III International Workshop, Dubna 1998, Eds. L.G. Mardoyan et al., 159–166 (1999) ,
N=2 SUSY Two–Boson KP Hierarchy,,
S. Krivonos, Z. Popowicz,
(Derivative) NLS Equation and Miura Transformations, Lecture Notes in Phys. 524, 252–260 (1999), “Supersymmetries and Quantum Symmetries", Proc. Dubna 1997, Eds. J. Wess, E.A. Ivanov, (1999),
Odd Bihamiltonian Structure of New Supersymmetric N = 2,,
Z. Popowicz,
4 Korteweg De Vries Equation and Odd Susy Virasoro–Like Algebra, Phys. Lett. B459, 150–158 (1999) see: preprint hep-th/9903198,
SUSY2: Super Symmetry,,
Z. Popowicz,
ŻEDUCE - User‘s and Contributed Packages Manual Version 3x.x7", Author: C. Hearn, pp. 419–422 (1999) Edited by Konrad-Zuse-Zentrum für Informationstechnik Berlin,
Integrability of N=3 Supersymmetric KdV Equation,,
Z. Popowicz,
Particles, Fields and Gravitation, Proceedings American Institute of Physics Conference, Łódź 1998, Ed. J. Rembieliński, 285–289 (1998) Woodbury, New York,
Integrable Extensions of N=2 Supersymmetric KdV Hierarchy Associated with the Nonuniqueness of the Roots of the Lax Operator,,
Z. Popowicz,
Phys. Lett. A249, 204–209 (1998) Preprint solv-int/9805007,
Lax Pairs for N=2,,
S. Krivonos, A. Pashnev, Z. Popowicz,
3 Supersymmetric KdV Equations and Their Extensions, Modern Phys. Lett. A13, 1435–1443 (1998) Preprint solv-int/9802003,
Extensions of the N = 2 Supersymmetric a = −2 Boussinesq Hierarchy,,
Z. Popowicz,
Phys. Lett. A236, 455–461 (1997) see: preprint hep-th/9707065,
Integrable System Constructed out of Two Interacting Superconformal Fields,,
Z. Popowicz,
J. Phys. A: Math. Gen. 30, 7935–7944 (1997) see: preprint hep-th/9702090,
SUSY 2,,
Z. Popowicz,
Computer Physics Communications 100, 277–296 (1997),
The Extended Supersymmertization of the Multicomponent Kadomtsev–Petviashvilli Hierarchy,,
Z. Popowicz,
J. Phys. A: Math. Gen. 29, 1281–1291 (1996) Preprint Wrocław University IFT UWr/898, pp. 13 (1995) see: preprint hep-th/9510185,
The Supersymmetric SL(2,,
Z. Popowicz,
C) Kac–Moody Algebra and the Supersymmetric Korteweg–de Vries Equation, “From Field Theory to Quantum Groups", Birthday volume dedicated to J. Lukierski, Eds. B. Jancewicz and J. Sobczyk, World Scientific Publishing Co. Pte. Ltd. Singapore, 197–209 (1996).,
Editors of: “Quantum Groups,,
J. Lukierski, Z. Popowicz, J. Sobczyk,
Formalism and Applications”, XXX Karpacz Winter School on Theoretical Physics, 1994, Eds.: , Polish Scientific Publishers PWN 1995,
Poincaré – Birkhoff – Witt Property for Bicovariant Differential Algebras on Simple Quantum Groups,,
G.E. Arutuynov, A.P. Isaev, Z. Popowicz,
J. Phys. A: Math. Gen. 28, 4349–4359 (1995) Preprint Wrocław University IFT UWr/ 888/95, pp. 11 see: preprint math.QA/9502002,
SLq (N )–Covariant Noncommutative Geometry,,
A.P. Isaev, Z. Popowicz,
“Quantum Group. Formalism and Applications", XXX Karpacz Winter School on Theoretical Physics, 1994, Eds.: J. Lukierski, Z. Popowicz, J. Sobczyk , 259–266 (1995) Polish Scientific Publishers PWN, Warszawa ,
O zastosowaniu REDUCE w teorii solitonów,,
Z. Popowicz,
Komputerowe wspomaganie badań naukowych, I Konferencja Środowiskowa, Wrocławskie Towarzystwo Naukowe, IKŚ KOWBAN ‘94, Wrocław, 16–17 grudnia 1994, , 211–215 (1994),
SUSY Lax Pair in the Gelfand–Dickey Hierarchy,,
Z. Popowicz,
“Symmetry Methods in Physics", Intern. Workshop, Dubna July 1993, Eds. Sissakian et. al. 2, 409–415 (1994) JINR, Dubna,
The Extended Supersymmetrization of the Nonlinear Schrödinger Equation,,
Z. Popowicz,
Phys. Lett. A, 375–379 (1994) see: preprint hep-th/9406054 Preprint Wrocław University IFT UWr/875/94 pp. 8 (1994),
The Super W3 Conformal Algebra and The Boussinesq Hierarchy,,
Z. Popowicz,
Internat. J. Modern Phys. A9, 2001–2011 (1994) Preprint University of Helsinki HU–TFT–93–27 pp.11 (1993) see: preprint hep-th/9305059,
Q-Deformation of the Conformal Algebra,,
Z. Popowicz,
“Quantum Groups, Integrable Statistical Models and Knot Theory", Proc. of V–th Nankai Workshop Mathematical Physics, Tianjin – China (1992), Eds. M.L. Ge, H.J. de Vega, 283–301 (1993),
Q-Trace and the Yang-Mills Theory,,
Z. Popowicz,
“Differential Geometric Methods in Theoretical Physics", Proc. XXI Int. Conf. Tianjin–China, Eds. C.N. Yang et al., Internat. J. Modern Phys. (Proc. Suppl.) 3A, 364–367 (1993) World Scientific Publ., Singapore,,
Quantum Group Gauge Theories and Covariant Quantum Algebras,,
A.P Isaev, Z. Popowicz,
Phys. Lett. B307, 353–361(1993), Preprint JINR E2–93–54, pp.12 (1993) see: preprint hep-th/9302090 ,
The Lax Formulation of the N = 2 SUSY Boussinesq Equation,,
Z. Popowicz,
Phys. Lett. B319, 478–484 (1993),
The Lax Formulation of the ŃewŃ=2 SUSY KdV Equation,,
Z. Popowicz,
Phys. Lett. A174, 411–415 (1993),
Editors of “Quantum Groups and Related Topics",,
R. Gielerak, J. Lukierski, Z. Popowicz,
Proceedings of the First Max Born Symposium, 27–29 September 1991, Wojnowice, Math. Phys. Studies, Vol. 13, pp. 274 (1992) Kluwer Acad. Publ.,
Editors of “Quantum Groups and Related Topics",,
R. Gielerak, J. Lukierski, Z. Popowicz,
Proceedings of the First Max Born Symposium, 27–29 September 1991, Wojnowice, Math. Phys. Studies, Vol. 13, pp. 274 (1992) Kluwer Acad. Publ.,
q–Trace for the Quantum Groups and q–deformed Yang-Mills Theory,,
A.P. Isaev, Z. Popowicz,
Phys. Lett. B281, 271–278 (1992) Preprint Wrocław University IFT UWr/ 786/91 (1991),
Editors of “Nonlinear Fields: Classical Random Semiclassical",,
P. Garbaczewski, Z. Popowicz,
XXVII Karpacz Winter School of Theoretical Physics, 1991 , pp. 697 (1991) World Scientific Publ., Singapore,,
q-Deformations of Virasoro Algebra and Conformal Dimensional,,
M. Chaichian, A.P. Isaev, J. Lukierski, Z. Popowicz, P. Presnajder,
Phys. Lett. B262, 32–38 (1991) Preprint CERN (Trieste) 5933/90,
Q–Deformations of Conformal Algebra and its Central Extension,,
A. Isaev, Z. Popowicz,
“Nonlinear Fields: Classical Random Semiclassical", XXVII Karpacz Winter School on Theoretical Physics, 1991, Eds.: , Eds. P. Garbaczewski et al., 346–368 (1991) World Scientific Publ., Singapore,,
q–Trace for the Quantum Groups and q–deformed Yang–Mills Theory,,
A.P. Isaev, Z. Popowicz,
Preprint Wrocław University, Institute of Theoretical Physcis, IFT UWr/ 786/91. pp. 11 (1991),
The Bi-Hamiltonian Structure of Fully Supersymmetric Korteweg-de Vries Systems,,
W. Oevel, Z. Popowicz,
Comm. Math. Phys. 139, 441–460 (1991) Preprint Wrocław University, Institute of Theoretical Physcis IFT UWr/89/728, pp. 15 (1989),
q-Virasoro Agebra and its Relations to the q-deformed KdV System,,
M. Chaichian, Z. Popowicz, P. Presnajder,
Phys. Lett. B249, 63–65 (1990),
Quantum Conformal Algebra with Central Extension,,
M. Chaichian, D. Ellinas, Z. Popowicz,
Phys. Lett. B248, 95–99 (1990) Preprint University of Helsinki HU–TFT–90–37 May 1990,
The Fully Supersymmetric AKNS Equations,,
Z. Popowicz,
J. Phys. A: Math. Gen. 23, 1127–1136 (1990),
The Toda Lattice and Kadomtsev-Petviashvili equations,,
Z. Popowicz,
J. Phys. A: Math. Gen. 22, 5007–5015 (1989),
Recent Results in Toda Lattice,,
Z. Popowicz,
“Solitons, Introduction and Applications", Proc. of the Winter School, January 6–20, 1987, India, Ed. M. Lakshmanan, 212–225 (1988) Springer, Heidelberg ,
Darboux Transformation and Special Solutions for the two-dimensional Toda Lattice,,
Z. Popowicz, O. Ragnisco,
Phys. Lett. 125, 247–249 (1987),
The Gauge Field Copies and Backlund Transformation,,
Z. Popowicz,
J. Phys. A: Math. Gen. 20, 2685–2691 (1987),
The Non-Abelian Solitons for the SL(2,,
Z. Popowicz,
C) Non-Abelian Toda Lattice, Inverse Problems 3, 329–340 (1987),
The Supersymmetric Gauge Field Copies,,
Z. Popowicz,
Modern Phys. Lett. A2, 861–868 (1987),
Connection Formulae for the Kametake and Backlund Transformation for the Toda Lattice,,
Z. Popowicz,
Phys. Lett. A116, 255–256 (1986),
N=2 Supersymmetry Toda Lattice,,
Z. Popowicz,
J. Phys. A: Math. Gen. 19, 1495–1503 (1986),
The Supersymmetric Yang-Mills and the Backlund Transformation,,
Z. Popowicz,
Preprint Wrocław University, Institute of Theoretical Physcis IFT UWr/659 (1986),
On Strong and Weak Backlund Transformations,,
D. Levi, Z. Popowicz,
J. Phys. A: Math. Gen. 18, 215 (1985),
The Gauge Field Copies Through the Backlund Transformation for the Liouville Equation,,
Z. Popowicz,
Phys. Lett. A111, 336–338 (1985),
Supersymmetric Algebra of Non-local Charges in Graded Chiral Models,,
Ling LieChau Wang, J. Lukierski, Z. Popowicz,
Lett. Math. Phys. 8, 81 (1984),
The Liouville-Backlund Transformation for the Two Dimensional SU(N) Toda Lattice,,
Z. Popowicz,
J. Math. Phys. 25, 2212–2216 (1984),
The Painleve Ping-Pong PIV.,,
A. Drzewiński, Z. Popowicz,
Phys. Lett. 103A, 182–184 (1984) ,
The Rieman-Hilbert Transforms and Bianchi-Backlund Transformation for the Supersymmetric Yang-Mills Fields,,
Ling LieChau, Ge Mo-Lin, Z. Popowicz,
Phys. Rev. Lett. 52, 1940–1943 (1984),
Painleve Ping-Pong P3 − P5 .,,
Z. Popowicz,
Nonlinear Phenomena, Proc., Springer Verlag 189, 416–424 (1983) Preprint Wrocław University IFT UWr/ (*) 550 (1982),
The Generalized Non-Abelian Todda Lattice.,,
Z. Popowicz,
Z. Phys. C. Particles and Fields, 19, (1983) 79 - 81,
Backlund Transformation Local and Nonlocal Conservation Laws for Supersymmetric Chiral Field,,
Ling LieChau Wang, Z. Popowicz,
Phys. Lett. 98B, 253 (1981),
Comment on New Exact Solutions of the Classical Sine–Gordon Equation in 2+1 and 3+1 Dimesnion,,
J.H. Perk, Z. Popowicz,
Phys. Rev. D23, 2482–2483 (1981),
Some Remarks about the Lattice Chiral Field,,
Z. Popowicz,
Phys. Lett. 81A, 235 (1981), Preprint Wrocław University IFT UWr/ (*) (508) (1980),
On Representation of the Canonical Relations for the Quatization Pendulum,,
Z. Popowicz,
Bull. Acad. Polon. Sci. 27, 95 (1979),
The Backlund Transformations for the Generalized Sine–Gordon Equations in 2+1 and 3+1 Dimensions,,
Z. Popowicz,
Lett. Math. Phys. 3, 385 (1979),
Introduction to the Lattice Quantization of the Sine–Gordon System,,
P. Garbaczewski, Z. Popowicz,
Bull. Acad. Polon. Sci. 26, 361–369 (1978) Preprint Wrocław University IFT UWr/ 369/76 (1976),
Quantum Pendulum as a Fermion,,
P. Garbaczewski, Z. Popowicz,
Preprint ITP Wroclaw University No 445 (1978),
Representations of the CAR Generated by Representations of the CCR III. NonFock Extension,,
P. Garbaczewski, Z. Popowicz,
Rep. Math. Phys. 11, 73–89 (1977),
The Dual Structure in the Dirac Space,,
Z. Popowicz,
Bull. Acad. Polon. Sci. Ser. Math. Phys. 23, 1119 (1976),

prof. Ziemowit Popowicz