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Lie symmetry analysis and reductions of a two-dimensional integrable generalization of the Camassa–Holm equation

✍ Scribed by R.A. Kraenkel; M. Senthilvelan; A.I. Zenchuk


Book ID
108442736
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
107 KB
Volume
273
Category
Article
ISSN
0375-9601

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Two-dimensional integrable generalizatio
✍ R.A. Kraenkel; A. Zenchuk 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 63 KB

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 pertu