Pfaffianization of the differential-difference KP equation

Journal of the Physical Society of Japan

Volumn 73, Issue 5, 2004, Pages 1159-1163

  Zhao, Jun Xiao ^a,b   Chun Xia, L I ^a,b   Xing Biao, H U ^a  

^a INSTITUTE OF COMPUTATIONAL MATHEMATICS AND SCIENTIFIC ENGINEERING COMPUTING   (China)

^b UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Differential difference KP equation; Lie symmetries; Pfaffianization; Wronskian (Casorati) determinant

Indexed keywords

ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL;

EID: 4043049633     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.73.1159     Document Type: Article

References (25)

1. R. Hirota and Y. Ohta: J. Phys. Soc. Jpn. 60 (1991) 798.
2. R. Hirota: Direct Method in Soliton Theory (Iwanami Shoten, Tokyo, 1992) [in Japanese].
3. C. R. Gilson and J. J. C. Nimmo: Theor. Math. Phys. 128 (2001) 870.
4. Y. Ohta, J. J. C. Nimmo and C. R. Gilson: Glasgow Math. J. 43 (2001) Issue A, 99.
5. C. R. Gilson, J. J. C. Nimmo and S. Tsujimoto: J. Phys. A 34 (2001) 10569.
6. C. R. Gilson: Theor. Math. Phys. 133 (2001) 1663.
7. E. Date, M. Jimbo and T. Miwa: J. Phys. Soc. Jpn. 51 (1982) 4116.
8. T. Tamizhmani, V. S. Kanaga and K. M. Tamizhmani: J. Phys. A 31 (1998) 7627.
9. F. Schwarz: J. Phys. Soc. Jpn. 51 (1982) 2387.
10. D. David, N. Kamran, D. Levi and P. Winternitz: J. Math. Phys. 27 (1986) 1225.
11. D. Levi and P. Winternitz: Phys. Lett. A 129 (1986) 165.
12. D. David, D. Levi and P. Winternitz: Phys. Lett. A 118 (1986) 390.
13. S. Y. Lou and X. M. Qian: J. Phys. A 27 (1994) L641.
14. S. Y. Lou: J. Phys. A 27 (1994) 3235.
15. S. Y. Lou: J. Math. Phys. 35 (1994) 1755.
16. D. Levi, S. Tremblay and P. Winternitz: J. Phys. A 34 (2001) 9507.
17. K. M. Tamizhmani, A. Ramani and B. Grammaticos: J. Math. Phys. 32 (1991) 2635.
18. S. Y. Lou and J. Lin: Phys. Lett. A 185 (1994) 29.
19. S. Y. Lou, J. Yu, J. P. Wen and X. M. Qian: Acta Phys. Sin. 43 (1994) 1050.
20. P. Han and S. Y. Lou: Commun. Theor. Phys. 22 (1994) 437.
21. X. B. Hu, D. L. Wang and X. M. Qian: Phys. Lett. A 262 (1999) 409.
22. H. W. Tam, X. B. Hu and X. M. Qian: J. Math. Phys. 43 (2002) 1008.
23. E. R. Caieniello: Combinatorics and Renormalization in Quantum Field Theory (Benjamin, 1973).
24. R. Hirota: J. Phys. Soc. Jpn. 58 (1989) 2285.
25. R. Hirota: Direct Method in Soliton Theory, ed. R. K. Bullough and P. J. Caudrey (Springer-Verlag, Berlin, 1980).