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Zbl 1028.35131
Wazwaz, A.M.
New solitary-wave special solutions with compact support for the nonlinear dispersive $K(m,n)$ equations. (English)
[J] Chaos Solitons Fractals 13, No.2, 321-330 (2002). ISSN 0960-0779

Summary: The genuinely nonlinear dispersive $K(m, n)$ equation, $u_t+ (u^m)_x+ (u^n)_{xxx}= 0$, which exhibits compactons, solitons with compact support, is investigated. New solitary-wave solutions with compact support are developed. The specific cases, $K(2, 2)$ and $K(3, 3)$, are used to illustrate the pertinent features of the proposed scheme. An entirely new general formula for the solution of the $K(m, n)$ equation is established, and the existing general formula is modified as well.

MSC 2000:: *35Q53 KdV-like equations
35Q51 Solitons

Keywords: nonlinear KdV like equations; compactons; solitary-wave solutions; compact support

Cited in: Zbl 1116.74374

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