Compactons in a class of nonlinear dispersive equations

Authors:
A. -M. Wazwaz
Affiliations:
Department of Mathematics and Computer Science, Saint Xavier University Chicago, IL 60655, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2003

Citing 6
Cited 11

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Compactons and solitary patterns structures for variants of the KdV and the KP equations

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The tanh and the sine-cosine methods for the complex modified K dV and the generalized K dV equations

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Generalized forms of the phi-four equation with compactons, solitons and periodic solutions

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The Jacobi elliptic function solutions to a generalized Benjamin-Bona-Mahony equation

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Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity

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The compact and noncompact structures for two types of generalized Camassa-Holm-KP equations

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New kinks and solitons solutions to the (2+1) -dimensional Konopelchenko-Dubrovsky equation

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Exact solutions for the fourth order nonlinear Schrodinger equations with cubic and power law nonlinearities

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Exact solitary solutions of an inhomogeneous modified nonlinear Schrödinger equation with competing nonlinearities

Mathematical and Computer Modelling: An International Journal

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Abstract

In this work, we study the compactons structures in a class of nonlinear dispersive equations. The compactons, new form of solitary waves free of exponential tails and width independent of amplitude, are formally constructed. We further establish solitary patterns solutions for the defocusing branches of these models.