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Zbl 1027.35118
Wazwaz, Abdul-Majid
General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive $K(n,n)$ equations in higher dimensional spaces. (English)
[J] Appl. Math. Comput. 133, No.2-3, 229-244 (2002). ISSN 0096-3003

Summary: The defocusing branch of the genuinely nonlinear dispersive $K(n,n)$ equation that exhibits solutions with solitary patterns is investigated. The equation, with constant coefficients to the derivatives, is examined in one-, two- and three-dimensional spaces. General formulas for solutions with solitary patterns are developed for all positive 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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