Peakons and coshoidal waves: traveling wave solutions of the Camassa-Holm equation
Applied Mathematics and Computation
A numerical study of compactons
Mathematics and Computers in Simulation
A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
Applied Mathematics and Computation
Applied Mathematics and Computation
Applied Mathematics and Computation
Compactons and solitary patterns structures for variants of the KdV and the KP equations
Applied Mathematics and Computation
Compact and noncompact structures in a class of nonlinearly dispersive equations
Mathematics and Computers in Simulation - Nonlinear waves: computation and theory II
An analytic study of compactons structures in a class of nonlinear dispersive equations
Mathematics and Computers in Simulation
Compactons in a class of nonlinear dispersive equations
Mathematical and Computer Modelling: An International Journal
Propagation of sech2-type solitary waves in hierarchical KdV-type systems
Mathematics and Computers in Simulation
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In this paper we study two generalized forms of the phi-four equation. Compactons: solitons with the absence of infinite wings, conventional solitons: nonlinear localized waves with infinite support, solitary patterns solutions having infinite slopes or cusps, and plane periodic solutions are developed. The sine-cosine ansatz can be fruitfully employed to develop these physical solutions. The qualitative change in the physical structure of the obtained solutions is shown to depend mainly on the exponent of the wave function u(x, t), positive or negative, and on the coefficient of the term (un)xx as well.