Recent results on the generalized Kadomtsev-Petviashvili equations

Acta Applicandae Mathematicae

Volumn 39, Issue 1-3, 1995, Pages 477-487

  Saut, Jean Claude ^a  

^a CNRS   (France)

Author keywords

Cauchy problem; KP equations; localized solitary waves; Mathematics subject classification (1991): 58F07

Indexed keywords

EID: 0000944104     PISSN: 01678019     EISSN: 15729036     Source Type: Journal    
DOI: 10.1007/BF00994650     Document Type: Article

References (26)

1. Properties of the Kadomtsev-Petviashvili equation
2. Fully discrete Galerkin methods for the Korteweg-de Vries equations
3. On the Cauchy problem for the Kadomtsev-Petviashvili equations
4. The Cauchy problem for the Kadomtsev-Petviashvili equation
5. On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations
6. The global Cauchy problem for the nonlinear Schrödinger equation revisited
7. On the blowing up of solutions to the Cauchy problem for the nonlinear Schrödinger equation
8. On the stability of solitary waves in weakly dispersive media
9. Multipliers of Fourier integrals
10. Remarks on the generalized Kadomtsev-Petviashvili equations
11. Periodic solutions of Kadomtsev-Petviashvili equations
12. Stability of nonlinear periodic internal waves in a deep stratified fluid
13. Stability of magnetoelastic solitons and self-focusing of sound in antiferromagnet
14. Local solutions of the Kadomtsev-Petviashvili equation
15. Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation
16. Inverse scattering for the heat operators and evolutions in (2+1) variables
17. Inverse scattering transform for the time dependent Schrödinger equation with applications to the KP-I equation