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Two-dimensional integrable generalization of the Camassa–Holm equation

✍ Scribed by R.A. Kraenkel; A. Zenchuk

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
63 KB
Volume
260
Category
Article
ISSN
0375-9601

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✦ Synopsis

In this letter we discuss the 2 q 1 -dimensional generalization of the Camassa-Holm equation. We require that this generalization be, at the same time, integrable and physically derivable under the same asymptotic analysis as the original Camassa-Holm equation. First, we find the equation in a perturbative calculation in shallow-water theory. We then Ž . demonstrate its integrability and find several particular solutions describing 2 q 1 solitary-wave like solutions.

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