Extension of the discrete KP hierarchy

Journal of Physics A: Mathematical and General

Volumn 35, Issue 8, 2002, Pages 2045-2056

  Svinin, A K ^a  

^a MATROSOV INSTITUTE FOR SYSTEM DYNAMICS AND CONTROL THEORY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036507665     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/8/317     Document Type: Article

References (24)

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5. Aratyn H, Ferreira L A, Gomes J F and Zimerman A H 1993 Toda and Volterra lattice equations from discrete symmetries of KP hierarchies Phys. Lett. B 316 85-92; Aratyn H, Ferreira L A and Zimerman A H 1994 On discrete symmetries of the multi-boson KP hierarchies Phys. Lett. B 327 266-73; Aratyn H, Nissimov E, Pacheva S and Zimerman A H 1995 Reduction of Toda lattice hierarchy to generalized KdV hierarchies and two-matrix model Int. J. Mod. Phys. A 10 2537-78
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17. Kupershmidt B A 1985 Discrete Lax equations and differential-difference calculus (Paris: Astérisque); Shabat A B 1992 The infinite-dimensional dressing dynamical system Inverse Problems 6 303-8; Adler V E, Shabat A B and Yamilov R I 2000 Symmetry approach to integrability problem Theor. Math. Phys. 125 1603-61; Bogoyavlenskii O I 1991 Algebraic constructions of integrable dynamical systems - extensions of the Volterra system Russian Math. Surveys 46 1-46; Blaszak M and Marciniak K 1994 R-matrix approach to lattice integrable systems J. Math. Phys. 35 4661-82; Wu Y-T and Hu X-B 1999 A new integrable differential-difference system and its explicit solutions J. Phys. A: Math. Gen. 32 1515-21; Hu X-B and Tam H-W 2001 New integrable differential-difference systems: Lax pairs, bilinear forms and soliton solutions Inverse Problems 17 319-27
18. Kupershmidt B A 1985 Discrete Lax equations and differential-difference calculus (Paris: Astérisque); Shabat A B 1992 The infinite-dimensional dressing dynamical system Inverse Problems 6 303-8; Adler V E, Shabat A B and Yamilov R I 2000 Symmetry approach to integrability problem Theor. Math. Phys. 125 1603-61; Bogoyavlenskii O I 1991 Algebraic constructions of integrable dynamical systems - extensions of the Volterra system Russian Math. Surveys 46 1-46; Blaszak M and Marciniak K 1994 R-matrix approach to lattice integrable systems J. Math. Phys. 35 4661-82; Wu Y-T and Hu X-B 1999 A new integrable differential-difference system and its explicit solutions J. Phys. A: Math. Gen. 32 1515-21; Hu X-B and Tam H-W 2001 New integrable differential-difference systems: Lax pairs, bilinear forms and soliton solutions Inverse Problems 17 319-27
19. Kupershmidt B A 1985 Discrete Lax equations and differential-difference calculus (Paris: Astérisque); Shabat A B 1992 The infinite-dimensional dressing dynamical system Inverse Problems 6 303-8; Adler V E, Shabat A B and Yamilov R I 2000 Symmetry approach to integrability problem Theor. Math. Phys. 125 1603-61; Bogoyavlenskii O I 1991 Algebraic constructions of integrable dynamical systems - extensions of the Volterra system Russian Math. Surveys 46 1-46; Blaszak M and Marciniak K 1994 R-matrix approach to lattice integrable systems J. Math. Phys. 35 4661-82; Wu Y-T and Hu X-B 1999 A new integrable differential-difference system and its explicit solutions J. Phys. A: Math. Gen. 32 1515-21; Hu X-B and Tam H-W 2001 New integrable differential-difference systems: Lax pairs, bilinear forms and soliton solutions Inverse Problems 17 319-27
20. Kupershmidt B A 1985 Discrete Lax equations and differential-difference calculus (Paris: Astérisque); Shabat A B 1992 The infinite-dimensional dressing dynamical system Inverse Problems 6 303-8; Adler V E, Shabat A B and Yamilov R I 2000 Symmetry approach to integrability problem Theor. Math. Phys. 125 1603-61; Bogoyavlenskii O I 1991 Algebraic constructions of integrable dynamical systems - extensions of the Volterra system Russian Math. Surveys 46 1-46; Blaszak M and Marciniak K 1994 R-matrix approach to lattice integrable systems J. Math. Phys. 35 4661-82; Wu Y-T and Hu X-B 1999 A new integrable differential-difference system and its explicit solutions J. Phys. A: Math. Gen. 32 1515-21; Hu X-B and Tam H-W 2001 New integrable differential-difference systems: Lax pairs, bilinear forms and soliton solutions Inverse Problems 17 319-27
21. Kupershmidt B A 1985 Discrete Lax equations and differential-difference calculus (Paris: Astérisque); Shabat A B 1992 The infinite-dimensional dressing dynamical system Inverse Problems 6 303-8; Adler V E, Shabat A B and Yamilov R I 2000 Symmetry approach to integrability problem Theor. Math. Phys. 125 1603-61; Bogoyavlenskii O I 1991 Algebraic constructions of integrable dynamical systems - extensions of the Volterra system Russian Math. Surveys 46 1-46; Blaszak M and Marciniak K 1994 R-matrix approach to lattice integrable systems J. Math. Phys. 35 4661-82; Wu Y-T and Hu X-B 1999 A new integrable differential-difference system and its explicit solutions J. Phys. A: Math. Gen. 32 1515-21; Hu X-B and Tam H-W 2001 New integrable differential-difference systems: Lax pairs, bilinear forms and soliton solutions Inverse Problems 17 319-27
22. Kupershmidt B A 1985 Discrete Lax equations and differential-difference calculus (Paris: Astérisque); Shabat A B 1992 The infinite-dimensional dressing dynamical system Inverse Problems 6 303-8; Adler V E, Shabat A B and Yamilov R I 2000 Symmetry approach to integrability problem Theor. Math. Phys. 125 1603-61; Bogoyavlenskii O I 1991 Algebraic constructions of integrable dynamical systems - extensions of the Volterra system Russian Math. Surveys 46 1-46; Blaszak M and Marciniak K 1994 R-matrix approach to lattice integrable systems J. Math. Phys. 35 4661-82; Wu Y-T and Hu X-B 1999 A new integrable differential-difference system and its explicit solutions J. Phys. A: Math. Gen. 32 1515-21; Hu X-B and Tam H-W 2001 New integrable differential-difference systems: Lax pairs, bilinear forms and soliton solutions Inverse Problems 17 319-27
23. Kupershmidt B A 1985 Discrete Lax equations and differential-difference calculus (Paris: Astérisque); Shabat A B 1992 The infinite-dimensional dressing dynamical system Inverse Problems 6 303-8; Adler V E, Shabat A B and Yamilov R I 2000 Symmetry approach to integrability problem Theor. Math. Phys. 125 1603-61; Bogoyavlenskii O I 1991 Algebraic constructions of integrable dynamical systems - extensions of the Volterra system Russian Math. Surveys 46 1-46; Blaszak M and Marciniak K 1994 R-matrix approach to lattice integrable systems J. Math. Phys. 35 4661-82; Wu Y-T and Hu X-B 1999 A new integrable differential-difference system and its explicit solutions J. Phys. A: Math. Gen. 32 1515-21; Hu X-B and Tam H-W 2001 New integrable differential-difference systems: Lax pairs, bilinear forms and soliton solutions Inverse Problems 17 319-27
24. Belov A A and Chaltikian K D 1993 Analogues of W-algebras and classical integrable equations Phys. Lett. B 309 268-74