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Numerical investigation of the Kadomtsev-Petviashvili soliton stability

✍ Scribed by V.G. Makhankov; E.I. Litvinenko; A.B. Shvachka

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
581 KB
Volume
23
Category
Article
ISSN
0010-4655

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πŸ“œ SIMILAR VOLUMES

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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.

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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