Rational solutions of the KP equation through symmetry reductions: Coherent structures and other solutions

Inverse Problems

Volumn 17, Issue 4, 2001, Pages 985-998

  Medina, Elena ^a   Marín, María José ^a  

^a UNIVERSITY OF CÁDIZ   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035417817     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/17/4/327     Document Type: Article

References (17)

1. Zakharov V E, Manakov S V, Novikov S P and Pitaevsky L P 1984 Theory of Solitons (Moskow: Nauka)
2. Ablowitz M J and Segur H 1981 Solitons and Inverse Scattering Transform (Philadelphia: SIAM)
3. Ablowitz M J and Clarkson P A 1991 Solitons, Nonlinear Evolution Equation and Inverse Scattering (Cambridge: Cambridge University Press)
4. Konopelchenko B G 1993 Solitons in Multidimensions (Singapore: World Scientific)
5. Kadomtsev B B and Petviashvili V I 1970 Sov. Phys.-Dokl. 15 539-41
6. Whitham G B 1974 Linear and Nonlinear Waves (New York: Wiley)
7. Olver P J 1986 Applications of Lie Groups to Differential Equations (Berlin: Springer)
8. Ovsiannikov L V 1982 Group Analysis of Differential Equations (New York: Academic)
9. Bluman G W and Kumei S 1989 Symmetries and Differential Equations (Berlin: Springer)
10. Bluman G W and Cole J D 1969 J. Math. Mech. 18 1025-42
11. Clarkson P A and Winternitz P 1991 Physica D 49 257-72
12. Clarkson P A and Kruskal M D 1989 J. Math. Phys. 30 2201-13
13. Kac V G 1990 Infinite Dimensional Lie Algebras (Cambridge: Cambridge University Press)
14. Jimbo M and Miwa T 1983 Publ. RIMS Kyoto University 19 943-1001
15. Wilson G 1998 Invent. Math. 133 1-41
16. Krichever I M 1978 Funkt. Anal. Appl. 12.1 59-61
17. Grünbaum F A 1989 Phys. Lett. A 139 146-50