A nonisospectral problem in (2 + 1) dimensions derived from KP

Inverse Problems

Volumn 17, Issue 4, 2001, Pages 1043-1052

  Estevez P G ^a  

^a UNIVERSITY OF SALAMANCA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035420161     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/17/4/330     Document Type: Article

References (18)

1. Maccari A 1996 The Kadomtsev-Petviashili equation as a source of integrable model equation J. Math. Phys. 37 6207-12
2. Maccari A 1997 Universal and integrable nonlinear evolution systems of equations in (2 + 1) dimensions J. Math. Phys. 38 4151-64
3. Maccari A 1998 A generalized Hirota equation in (2 + 1) dimensions J. Math. Phys. 12 6547-51
4. Calogero F and Degasperis A 1976 Nonlinear evolution equations solvable by the inverse spectral transform - I Nuovo Cimento B 32 201-42
5. Hirota R 1973 Exact envelope-solutions of a nonlinear wave equation J. Math. Phys. 14 805-9
6. Painlevé P 1902 Sur les équations différentielles du second ordre et d'ordre supérieur dont l'integrale générale est uniforme Acta Math. 25 1-85
7. Weiss J, Tabor M and Carnevale G 1983 The Painlevé property for partial differential equations J. Math. Phys. 24 522-6
8. Weiss J 1983 The Painlevé property for partial differential equations II: Bäcklund transformation. Lax pair and the Schwartzian derivative J. Math. Phys. 24 1405-13
9. Estévez P G 1999 Darboux transformation and solutions for an equation in 2 + 1 dimensions J. Math. Phys. 40 1406-19
10. Estévez P G and Hernáez G A 2000 Non-isospectral problem in 2 + 1 dimensions J. Phys. A: Math. Gen. 33 2131-43
11. Estévez P G, Gordoa P R, Martinez-Alonso L and Medina-Reus E 1993 Modified singular manifold expansion J. Phys. A: Math. Gen. 26 1915-25
12. Estévez P G and Gordoa P R 1997 Darboux transformations via Painlevé analysis Inverse Problems 13 939-57
13. Konopelchenko B G and Stramp W 1991 On the structure and properties of the singularity manifold equations of the KP hierarchy J. Math. Phys. 32 40-9
14. Bogoyavlenskii O I 1990 Breaking solitons in 2 + 1 dimensional integrable equations Usp. Mat. Nauk. 45 1-86
15. Levi D. Ragniseo O and Rodriguez M A 1993 On nonisospectral flows. Painlevé equations and symmetries of differential and difference equations Theor. Math. Phys. 93 1409-14
16. Clarkson P A, Gordoa P R and Pickering A 1997 Multicomponent equations associated to nonisospectral scattering problems Inverse Problems 13 1463-76
17. Gordoa P R and Pickering A 1999 Nonisospectral scattering problems: a key to integrable hierarchies J. Math. Phys. 40 5749-86
18. Matveev V B and Salle M A 1991 Darboux Transformations and Solitons (Springer Series in Nonlinear Dynamics) (Berlin: Springer)