Wronskian and rational solutions of the differential-difference KP equation

Journal of Physics A: Mathematical and General

Volumn 31, Issue 37, 1998, Pages 7627-7633

  Tamizhmani, Thamizharasi ^a   Kanaga Vel, S ^b   Tamizhmani, K M ^b  

^a Kanchi Mamunivar Centre for Post Graduate Studies   (India)

^b PONDICHERRY UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032544446     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/37/020     Document Type: Article

References (57)

1. Hirota R 1980 Direct methods in soliton theory Solitons ed R K Bullough and P J Caudrey (Berlin: Springer) p 157
2. Hietarinta J 1987 J. Math. Phys. 28 1732 Hietarinta J 1987 J. Math. Phys. 28 2094 Hietarinta J 1987 J. Math. Phys. 28 2586 Hietarinta J 1987 J. Math. Phys. 29 628
3. Hietarinta J 1987 J. Math. Phys. 28 1732 Hietarinta J 1987 J. Math. Phys. 28 2094 Hietarinta J 1987 J. Math. Phys. 28 2586 Hietarinta J 1987 J. Math. Phys. 29 628
4. Hietarinta J 1987 J. Math. Phys. 28 1732 Hietarinta J 1987 J. Math. Phys. 28 2094 Hietarinta J 1987 J. Math. Phys. 28 2586 Hietarinta J 1987 J. Math. Phys. 29 628
5. Hietarinta J 1987 J. Math. Phys. 28 1732 Hietarinta J 1987 J. Math. Phys. 28 2094 Hietarinta J 1987 J. Math. Phys. 28 2586 Hietarinta J 1987 J. Math. Phys. 29 628
6. Satsuma J 1979 J. Phys. Soc. Japan 46 359
7. Freeman N C and Nimmo J J C 1983 Phys. Lett. 95A 1
8. Nimmo J J C and Freeman N C 1983 Phys. Lett. 95A 4
9. Hirota R 1986 J. Phys. Soc. Japan 55 2137
10. Hirota R, Ohta Y and Satsuma J 1988 J. Phys. Soc. Japan 57 1901
11. Hirota R, Ohta Y and Satsuma J 1988 Prog. Theor. Phys. Suppl. 94 59
12. Loris I and Willox R 1996 J. Phys. Soc. Japan 65 383
13. Sato M 1981 RIMS Kokyuroku 439 30
14. Sato M and Sato Y 1983 Soliton equations as dynamical systems on infinite grassmann manifold Nonlinear Partial Differential Equations in Applied Science ed H Fujita et al (Tokyo: Kinokuniya/North-Holland)
15. Ohta Y, Satsuma J, Takahashi D and Tokihiro T 1988 Prog. Theor. Phys. Suppl. 94 210
16. Date E, Jimbo M, Kashiwara M and Miwa T 1983 Transformation groups for soliton equations Proc. RIMS Symp. Nonlinear Integrable System - Classical Theory and Quantum Theory (Singapore: World Scientific)
17. Jimbo M and Miwa T 1983 RIMS-439, Kyoto University
18. Matsukidaira J, Satsuma J and Strampp W 1990 J. Math. Phys. 31 1426
19. Kajiwara K, Matsukidaira J and Satsuma J 1990 Phys. Lett. A 146 115
20. Kajiwara K and Satsuma J 1991 J. Math. Phys. 32 506
21. Miyake S, Ohta Y and Satsuma J 1990 J. Phys. Soc. Japan 59 48
22. Ablowitz M J and Clarkson P A 1991 Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge: Cambridge University Press)
23. Airault H, Mckean H P and Moser J 1977 Commun. Pure Appl. Math. 30 95
24. Ablowitz M J and Satsuma J 1978 J. Math. Phys. 19 2180
25. Nimmo J J C and Freeman NC 1983 Phys. Lett. 96A 443
26. Airault H and Moser J 1978 Commun. Pure Appl. Math. 61 1
27. Adler M and Moser J 1978 Commun. Math. Phys. 61 1
28. Satsuma J and Ishimori Y 1979 J. Phys. Soc. Japan 46 681
29. Gilson C R and Nimmo J J C 1990 Phys. Lett. A 147 472
30. Nakamura A 1989 J Phys. Soc. Japan 58 412
31. Pelinovsky D E 1994 J. Math. Phys. 35 5820
32. Hu X B Rational Solutions of integrable equations via nonlinear superposition formulae Preprint
33. Adler V E 1996 On the rational solutions of the Shabat equation Nonlinear Phvsics Theory and Experiment ed E Alfinito et al (Singapore: World Scientific) p 3
34. Ablowitz M J and Ladik J F 1975 J. Math. Phys. 16 598
35. Ablowitz M J and Ladik J F 1976 J. Math. Phys. 17 1011
36. M. Toda and M. Wadati 1975 J. Phys. Soc. Japan 39 1196
37. Ueno K and Takasaki K 1984 Adv. Stud. Pure Math. vol 4 (Tokyo: Kinokuniya) p 1
38. Kuperschmidt BA 1985 Astérisque 123 1
39. Wiersma G and Capel H W 1987 Physica 142 A 199
40. Oevel W, Fuchssteiner B, Zhang H and Ragnisco O 1989 J. Math. Phys. 30 2664
41. Oevel W, Zhang H and Fuchssteiner B 1989 Prog. Theor. Phys. 81 294
42. Oevel W, Zhang H and Fuchssteiner B 1991 J. Math. Phys. 32 1908
43. Nijhoff F W and Capel HW 1990 Inverse Problems 6 567
44. Quispel G R W, Capel H W and Sahadevan R 1992 Phys. Lett. A 170 379
45. Levi D and Winternitz P 1993 J. Math. Phys. 34 3713
46. Ramani A, Grammaticos B and Tamizhmani K M 1992 J. Phys. A: Math. Gen. 25 L883
47. Grammaticos B, Ramani A and Moreira I C 1993 Physica 196A 574
48. Blaszak M and Marciniak K 1994 J. Math. Phys. 35 4661
49. Oevel W 1997 Poisson brackets for integrable lattice systems Algebraic Aspects of Integrable Systems ed A S Fokas and I M Gelfand (Boston, MA: Birkhäuser) p 261
50. Oevel W 1996 Darboux transformations for integrable lattice systems Nonlinear Physics Theory and Experiment ed E Alfinito et al (Singapore: World Scientific) p 233
51. Date E, Jimbo M and Miwa T 1982 J. Phys. Soc. Japan 51 4116 Date E, Jimbo M and Miwa T 1982 J. Phys. Soc. Japan 51 4125 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 388 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 761 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 766
52. Date E, Jimbo M and Miwa T 1982 J. Phys. Soc. Japan 51 4116 Date E, Jimbo M and Miwa T 1982 J. Phys. Soc. Japan 51 4125 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 388 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 761 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 766
53. Date E, Jimbo M and Miwa T 1982 J. Phys. Soc. Japan 51 4116 Date E, Jimbo M and Miwa T 1982 J. Phys. Soc. Japan 51 4125 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 388 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 761 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 766
54. Date E, Jimbo M and Miwa T 1982 J. Phys. Soc. Japan 51 4116 Date E, Jimbo M and Miwa T 1982 J. Phys. Soc. Japan 51 4125 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 388 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 761 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 766
55. Date E, Jimbo M and Miwa T 1982 J. Phys. Soc. Japan 51 4116 Date E, Jimbo M and Miwa T 1982 J. Phys. Soc. Japan 51 4125 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 388 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 761 Date E, Jimbo M and Miwa T 1983 J. Phys. Soc. Japan 52 766
56. Kanaga vel S and Tamizhmani KM 1997 Chaos, Solitons Fractals 6917
57. Matveev V B 1979 Lett. Math. Phys. 3 503