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An analytic study of compactons structures in a class of nonlinear dispersive equations. (English) Zbl 1021.35092
Summary: We present an analytic study of the compactons structures in a class of nonlinear dispersive equations. The compactons: new form of solitary waves with compact support and width independent of amplitude, are formally constructed. We further establish solitary patterns solutions for the defocusing branches of these dispersive models.

MSC:
35Q51Soliton-like equations
37K40Soliton theory, asymptotic behavior of solutions
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References:
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