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Zbl 1027.35117
Wazwaz, Abdul-Majid
General compactons solutions for the focusing branch of the nonlinear dispersive $K(n,n)$ equations in higher-dimensional spaces. (English)
[J] Appl. Math. Comput. 133, No.2-3, 213-227 (2002). ISSN 0096-3003

Summary: We study the focusing branch of the genuinely nonlinear dispersive $K(n,n)$ equation that exhibits compactons: solitons with finite wavelengths. The equation is studied in one-, two- and three-dimensional spaces. General formulas for compactons solutions are developed for all positive integers $n$, $n<1$. We give formulas for compactons for even integers $n$ and for compactons and anticompactons for odd integers $n$, $n>1$.

MSC 2000:: *35Q53 KdV-like equations
35Q51 Solitons
37K40 Soliton theory, asymptotic behavior of solutions

Keywords: compactons; solitary patterns; nonlinear dispersive equations

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Zentralblatt MATH Berlin [Germany]