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1-Soliton solution of the generalized Camassa–Holm Kadomtsev–Petviashvili equation

✍ Scribed by Anjan Biswas

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
143 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis

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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A New Class of Soliton Solutions for the
A New Class of Soliton Solutions for the (Modified) Kadomtsev-Petviashvili Equation
✍ Walter Renger 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 675 KB

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