Next:
Articles
79. [2019] Z. Popowicz
" N=2 Supercomplexification of the Korteweg-de Vreies, Sawada0Kotera and Kaup-Kupershmidy Equations"
Journal of Nonlinear Mathematical Physics (26) No. 2 (2019) 294-312
see: preprint http://xxx.lanl.gov/abs/arXiv:1803.08737
78. [ 2017 ] Z. Popowicz,
"Lax Representation for Matrix Short Pulse equations"
Journal of Mathematical Physics (58) 103506 (2017)
see: preprint http://xxx.lanl.gov/abs/arXiv:1705.04030
77. [ 2015 ] Z. Popowicz,
"A four component cubic peakon (4CH) equations"
J. Phys A:Math.Theor. 50 (2017) 285204 (10pp)
see: preprint http://xxx.lanl.gov/abs/arXiv:1511.00808
76. [ 2014 ] Z. Popowicz,
"Double Extended Cubic Peakon Equation"
Physics Letters A 379 (2015) 1240 - 1245
see: preprint http://xxx.lanl.gov/abs/arXiv:1407.6141
75. [ 2014 ] Z. Popowicz,
"Two-component coupled KdV equations and its connection with the generalized Harry Dym equations "
J. Math. Phys Theor. 55 (2014) 013506
see: preprint http://xxx.lanl.gov/abs/arXiv:1210.5822
74. [ 2013 ]
Nianhua Li, Q. P. Liu, Z. Popowicz
" A four-component Camassa-Holm type hierarchy "
Journal of Geometry and Physics. 85 (2014) 29-39
see: preprint http://xxx.lanl.gov/abs/arXiv:1310.1781
- 73. [ 2012 ] Z. Popowicz,
" The Applications of the Superconformal Transformation in the Integrable Models "
Proceedings of the conference "QUANTUM FIELD THEORY AND GRAVITY -
QFTG'2012" Tomsk Russia
are published as a special issue of Tomsk State Pedagogical
University Bulletin v.13 (2012). p. 134 - 138.
see: http://vestnik.tspu.ru/eng/index.php?option=com_content&task=view&id=3386&Itemid=597&year=2012&number=13
72. [ 2012 ] K. Tian, Z. Popowicz, Q. Liu
"A non-standard Lax formulation of the Harry Dym hierarchy and its supersymmetric extension "
J. Phys A:Math.Theor. 45 (2012) 122001 (8pp)
see: preprint http://xxx.lanl.gov/abs/arXiv:1110.2023
71. [ 2011 ] Z. Popowicz,
" The matrix Lax representation of the generalized Riemann equations and its conservation Laws"
Phys. Lett. A 375 (2011) 3268 - 3272.
see: preprint http://xxx.lanl.gov/abs/arXiv:1106.1274
70. [ 2010 ] Z. Popowicz, A. K. Prykarpatsky
The non-polynomial conservation laws and integrability analysis of generalized Riemann type hydrodynamical equations
"Nonlinearity" 23 (2010) 2517 - 2537
see: preprint http://xxx.lanl.gov/abs/arXiv:1005.3942
- 69. [ 2010 ] Z. Popowicz,
Does the Supersymmetric Integrability Imply the Integrability in the Bosonic Sector
in " Nonlinear and Modern Mathematical Physics" .
Proceedings of the First International Workshop. Beijing China 15-21 July 2009
AIP Conference Proceedings 1212, Melville, New York 2010.
- 68. [ 2010 ] A. K. Prykarpatsky, O. D. Artemovych, Z. Popowicz, M. Pavlov
The Differential-Algebraic Integrability Analysis of the Generalized Riemann Type and Korteweg-de Vries Hydrodynamical Equations
Journal of Physics A: Mathematical and Theoretical 43 (2010) 295205 (13pp)
see: preprint http://xxx.lanl.gov/abs/arXiv:1005.2660
- 67. [ 2010 ] Q. P . Liu, Z. Popowicz, Kai Tian
The Even and Odd Supersymmetric Hunter - Saxton and Liouville Equations
Phys. Lett. A 375 (2010) 29-35
see: http://xxx.lanl.gov/abs/arXiv:1005.3109
- 66. [ 2010 ] Z. Popowicz
The Integrability of New two - component KdV equation
Symmetry Integrability and Geometry - Methods and Applications
vol. 6 Art. No. 018 (2010)
see: http://xxx.lanl.gov/abs/arXiv:0910.2389
- 65. [ 2010 ] Q. P . Liu, Z. Popowicz, Kai Tian
Supersymmetric Reciprocal Transformation and its Applications
in J. Math.Phys. 51. 093511 (2010)
see: preprint http://xxx.lanl.gov/abs/arXiv:1002.1769
- 64. [2010] J. Golenia M. Pavlov, Z. Popowicz, A. Prykarpatsky
On a Nonlocal Ostrovsky - Whitham Type Dynamical System, Its Riemann Type
Inhomogenous Regularizations and Their Integrability .
see: SIGMA 6 (2010) 002
-
- 63. [ 2009 ] Z. Popowicz
Odd Hamiltonian Structure for Supersymmetric Sawada - Kotera Equation
Phys. Lett A 373 (2009) Issue.37 p. 3315- 3323
see: preprint http://xxx.lanl.gov/abs/arXiv:0902.2861
- 62. [2009] M. Pavlov, Z. Popowicz
On Integrability of a Special Class of Two-Component (2+1) - Dimensional Hydrodynamic-Type
Systems
see: SIGMA 5 (2009) 011
-
61. [2006] Z. Popowicz
A Camassa-Holm Equation Interacted with the Degasperis-Procesi
Equation
Czech. J. Phys. 36, 1263-1268 (2006)
-
60. [2006] Z. Popowicz
A two - Component Generalization of the Degasperis-Procesi Equation
J. Phys. A.: Math. Gen 39, 13717-13726 (2006)
see:
http://arxiv.org/pdf/nlin/0604067
59.[2006] Z. Popowicz
A 2 - Component or N=2 Supersymmetric Camassa - Holm
Equation
Phys. Lett. A354, (2006), 110 - 114
see:
preprint http://arxiv.org/pdf/nlin/0509050
58. [2005] Z. Kuznetsova, Z. Popowicz , F. Toppan
The
sl(2n|2n)^(1) Super-Toda Lattices and the Heavenly Equations as Continuum
Limit
J.Phys.A. Math. Gen. 38, 7773-7784
(2005)
see: preprint http://arxiv.org/pdf/hep-th/0504214
57. [2005] A. Das, Z Popowicz
Supersymmetric
Nonlocal Gas Equation
J.Math.Phys. 46 , 082702 (2005)
see: preprint http://arxiv.org/pdf/nlin/0504043
56. [2005] A. Das, Z. Popowicz
A Nonlinearly Dispersive Fifth Order Integrable Equation and Its Hierarchy
Journal
of Nonlinear Math. Phys. 12, 105-117 (2005)
55.[2004] Z. Popowicz
Two Component Kaup - Kupershmidt Equation
J.Phys.A. Math. Gen. 37 , L511-L516
(2004)
see:
preprint http://arxiv.org/pdf/nlin/0408032
54. [2004] A. Das, Z. Popowicz
Bosonic Reduction of Susy Generalized Harry Dym Equation
J. Phys. A: Math. Gen. 37 No 33, 8031-8045 (2004)
see:
preprint http://arxiv.org/pdf/nlin/0404017
53. [2004] J.C. Brunelli, Ashok Das, Z. Popowicz
Deformed Harry Dym and Hunter-Zheng
Equations
J. Math. Phys. 45, No
7, 2646-2655 (2004)
see:
preprint http://arxiv.org/pdf/nlin/0307043
52.[2003] Z. Popowicz
The Generalized Harry Dym Equation
Phys. Lett. A317 260-264 (2003)
see:
preprint http://arxiv.org/pdf/nlin/0305041
51.[2003] J. C. Brunelli, A. Das, Z. Popowicz
Supersymmetric Extensions of the Harry Dym Hierarchy
J. Math. Phys. 44, 4756--4767 (2003)
see:
preprint http://arxiv.org/pdf/nlin/0304047
50. [2003] Z. Popowicz, F. Toppan
The N=2 Supersymmetric Heavenly Equation and Its Super-Hydrodynamical
Reduction
J.Phys.A: Math. Gen 36 9701-9709 (2003)
see:
preprint http://arxiv.org/pdf/nlin/0302061
49. [2003] M. V. Pavlov, Z. Popowicz
Non polynomial conservation law densities generated by the symmetry
operators in some hydrodynamical models
J. Phys. A: Math. Gen. 36 no 31, 8463-8472 (2003)
see:
preprint http://arxiv.org/pdf/nlin/0303067
48. [2002] A. Das, S. Krivonos,
Z. Popowicz,
Alternative Dispersionless of N=2 Supersymmetric KdV-Type Hierarchies
Phys. Lett. A302 (2-3) 87-93 (2002)
see:
preprint http://arxiv.org/pdf/nlin/0204063
47.[2002] A. Das, Z. Popowicz,
Supersymmetric Polytropic Gas Dynamics
Phys. Lett. A296 (1) 15-26 (2002)
see: preprint
hep-th/0109223
- 46. [2001] A. Das, Z. Popowicz,
Supersymmetric Moyal-Lax Representations
J. Phys. A: Math. Gen. 34, 6105-6117 (2001)
see: preprint
hep-th/0104191
- 44.[2000] Z. Popowicz,
Nonlocal Charges in SUSY Integrable Models
Czech. Journ. Phys. 50 , 1341-1346 (2000)
- 43. [2000] A. Das, Z. Popowicz,
New Nonlocal Charges in SUSY Integrable Models
Phys. Lett. A274 , No 1-2, 30 (2000)
see: preprint
nlin.SI/0004034
-
42. [2000] A. Das, Z. Popowicz,
Dispersionless sTB,
Phys. Lett. A272 , 65--73 (2000)
see: preprint
nlin.SI/0002037
- 41 [1999] Z. Popowicz,
Odd Bihamiltonian Structure of New Supersymmetric N=2,4 Korteweg
De Vries Equation and Odd Susy Virasoro-Like Algebra,
Phys. Lett. B459, 150-158 (1999)
see: preprint
hep-th/9903198
- 40. [1998] S. Krivonos, A. Pashnev, Z. Popowicz,
Lax Pairs for N=2,3 Supersymmetric KdV Equations and Their Extensions,
Modern. Phys. Lett. A13, 1435-1443 (1998)
see: preprint
solv-int/9802003
- 39. [1998] Z.Popowicz,
Integrable Extensions of N=2 Supersymmetric KdV Hierarchy Associated
with the Nonuniqueness of the Roots of the Lax Operator,
Phys. Lett. A249, 204-209 (1998)
see: preprint
solv-int/9805007
- 38. [1997] Z. Popowicz,
Extensions of the N=2 Supersymmetric a=-2 Boussinesq Hierarchy,
Phys. Lett. A236, 455-461 (1997)
see: preprint
hep-th/9707065
- 37. [1997] Z. Popowicz,
Integrable System Constructed out of Two Interacting Superconformal
Fields,
J. Phys. A: Math. Gen. 30, 7935-7944 (1997)
see: preprint
hep-th/9702090
- 36. [1997] Z. Popowicz,
SUSY 2,
Computer Physics Communications 100, 277-296 (1997)
- 35. [1996] Z. Popowicz,
The Extended Supersymmertization of the Multicomponent Kadomtsev-Petviashvilli
Hierarchy,
J. Phys. A: Math. Gen. 29, 1281-1291 (1996)
see: preprint
hep-th/9510185
- 34. [1995] G. E. Arutuynov, A. P. Isaev, Z. Popowicz,
Poincaré - Birkhoff - Witt Property for Bicovariant Differential
Algebras on Simple Quantum Groups,
J. Phys. A: Math. Gen. 28, 4349-4359 (1995)
see: preprint q-alg /9502002, pp. 11 (1995)
- 33. [1994] Z. Popowicz,
The Extended Supersymmetrization of the Nonlinear Schrödinger
Equation,
Phys. Lett. A194, 375-379 (1994)
see: preprint
hep-th/9406054
- 32.[1994] Z. Popowicz,
The Super W3 Conformal Algebra and The Boussinesq Hierarchy,
Int. Journ. of Mod. Phys. A9, 2001-2011 (1994)
see: preprint
hep-th/9305059
- 31. [1993] A. P. Isaev, Z. Popowicz,
Quantum Group Gauge Theories and Covariant Quantum Algebras,
Phys. Lett. B307, 353-361(1993),
see: preprint
hep-th/9302090
- 30. [1993] Z. Popowicz,
The Lax Formulation of the "New" N=2 SUSY KdV Equation,
Phys. Lett. A174, 411-415 (1993)
- 29. [1993] Z. Popowicz,
The Lax Formulation of the N=2 SUSY Boussinesq Equation,
Phys. Lett. B319, 478-484 (1993)
- 28. [1992] A. P. Isaev, Z. Popowicz,
q-Trace for the Quantum Groups and q-deformed Yang-Mills Theory,
Phys. Lett. B281, 271-278 (1992)
- 27. [1991] M. Chaichian, A. P. Isaev, J. Lukierski, Z. Popowicz, P. Presnajder,
q-Deformations of Virasoro Algebra and Conformal Dimensional,
Phys. Lett. B262, 32-38 (1991)
- 26. [1991] W. Oevel, Z. Popowicz,
The Bi-Hamiltonian Structure of Fully Supersymmetric Korteweg-de
Vries Systems,
Comm. Math. Phys. 139, 441-460 (1991)
- 25. [1990] M. Chaichian, D. Ellinas, Z. Popowicz,
Quantum Conformal Algebra with Central Extension,
Phys. Lett. B248, 95-99 (1990)
- 24.[1990] M. Chaichian, Z. Popowicz, P. Presnajder,
q-Virasoro Agebra and its Relations to the q-deformed KdV System,
Phys. Lett. B249, 63-65 (1990)
- 23. [1990] Z. Popowicz,
The Fully Supersymmetric AKNS Equations,
J. Phys. A.: Math. Gen. 23, 1127-1136 (1990)
- 22. [1989] Z. Popowicz,
The Toda Lattice and Kadomtsev-Petviashvili equations,
J. Phys. A: Math. Gen. 22, 5007-5015 (1989)
- 21. [1987] Z. Popowicz, O.Ragnisco,
Darboux Transformation and Special Solutions for the two-dimensional
Toda Lattice,
Phys. Lett. 125, 247-249 (1987)
- 20. [1987] Z. Popowicz,
The Gauge Field Copies and Backlund Transformation,
J. Phys. A Math. Gen. 20, 2685-2691 (1987)
- 19. [1987] Z. Popowicz,
The Non-Abelian Solitons for the SL(2,C) Non-Abelian Toda Lattice,
Inverse Problems 3, 329-340 (1987)
- 18. [1987] Z. Popowicz,
The Supersymmetric Gauge Field Copies,
Modern Phys. Lett. A2, 861-868 (1987)
- 17.[1986] Z. Popowicz,
Connection Formulae for the Kametake and Backlund Transformation
for the Toda Lattice,
Phys. Lett. A116, 255-256 (1986)
- 16. [1986] Z. Popowicz,
N=2 Supersymmetry Toda Lattice,
Journ. Phys. A. Math. Gen. 19, 1495-1503 (1986)
- 15. [1985] D. Levi, Z. Popowicz,
On Strong and Weak Backlund Transformations,
J. Phys. A. Math. Gen. 18, 215 (1985)
- 14. [1985] Z. Popowicz,
The Gauge Field Copies Through the Backlund Transformation for the
Liouville Equation,
Phys. Lett. A111, 336-338 (1985)
- 13. [1984] A. Drzewiñski, Z. Popowicz,
The Painleve Ping-Pong PIV.,
Phys. Lett. 103A, 182-184 (1984)
- 12. [1984] Ling Lie Chau, Ge-Mo Lin, Z. Popowicz,
The Rieman-Hilbert Transforms and Bianchi-Backlund Transformation
for the Supersymmetric Yang-Mills Fields.,
Phys. Rev. Lett. 52, 1940-1943 (1984)
- 11. [1984] Ling Lie Chau Wang, J. Lukierski, Z. Popowicz,
Supersymmetric Algebra of Non-local Charges in Graded Chiral Models,
Lett. Math. Phys. 8, 81 (1984)
- 10. [1984] Z. Popowicz,
The Liouville-Backlund Transformation for the Two Dimensional SU(N)
Toda Lattice,
J. Math. Phys. 25, 2212-2216 (1984)
- 9. [1983] Z. Popowicz,
The Generalized Non-Abelian Todda Lattice.,
Z. Phys. C. Particles and Fields, 19, (1983) 79 - 81
- 8. [1981] Ling Lie Chau Wang, Z. Popowicz,
Backlund Transformation Local and Nonlocal Conservation Laws for
Supersymmetric Chiral Field,
Phys. Lett. 98B, 253 (1981)
- 7.[1981] J. H. Perk, Z. Popowicz,
Comment on New Exact Solutions of the Classical Sine-Gordon Equation
in 2+1 and 3+1 Dimesnion,
Phys. Rev. D23, 2482-2483 (1981)
- 6. [1981] Z. Popowicz,
Some Remarks about the Lattice Chiral Field,
Phys. Lett. 81A, 235 (1981),
- 5. [1979] Z. Popowicz,
On Representation of the Canonical Relations for the Quatization
Pendulum,
Bull. Acad. Polon. Sci. 27, 95 (1979)
- 4. [1979] Z. Popowicz,
The Backlund Transformations for the Generalized Sine-Gordon Equations
in 2+1 and 3+1 Dimensions,
Lett. Math. Phys. 3, 385 (1979)
- 3. [1978] P. Garbaczewski, Z. Popowicz,
Introduction to the Lattice Quantization of the Sine-Gordon System,
Bull. Acad. Polon. Sci. 26, 361-369 (1978)
- 2. [1977] P. Garbaczewski, Z. Popowicz,
Representations of the CAR Generated by Representations of the CCR
III. Non-Fock Extension,
Rep. Math. Phys. 11, 73-89 (1977)
- 1. [1976] Z. Popowicz,
The Dual Structure in the Dirac Space,
Bull. Acad. Polon. Sci. Ser. Math. Phys. 23, 1119 (1976)