Local Solution for the Kadomtsev-Petviashvili Equation in R2
β Scribed by P. Isaza; J. Mejia; V. Stallbohm
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 687 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper is concerned with traveling waves for the generalized Kadomtsev}Petviashvili equation (w y)31, t31, i.e. solutions of the form w(t, , y)"u( !ct, y). We study both, solutions periodic in x" !ct and solitary waves, which are decaying in x, and their interrelations. In particular, we prove
We construct solutions of the Kadomtsev-Petviashvili equation and its counterpart, the modified Kadomtsev-Petviashvili equation, with an infinite number of solitons by a careful armination of the limits of N -soliton solutions as N --t OQ. We give sufficient conditions to ensure that these limits ex
An exact 1-soliton solution of the generalized Camassa-Holm Kadomtsev-Petviashvili equation is obtained in this paper by the solitary wave ansatze. This solution is a generalized form of the solution that is obtained in earlier works.