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Elastic and inelastic line-soliton solutions of the Kadomtsev–Petviashvili II equation

✍ Scribed by Gino Biondini; Sarbarish Chakravarty


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
474 KB
Volume
74
Category
Article
ISSN
0378-4754

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A New Class of Soliton Solutions for the
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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

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✍ Anjan Biswas 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 143 KB

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.