Kink‐Like Wave and Compacton‐Like Wave Solutions for a Two‐Component Fornberg‐Whitham Equation

Shaoyong Li and Ming Song

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: Using bifurcation method and numerical simulation approach of dynamical systems, we study a two‐component Fornberg‐Whitham equation. Two types of bounded traveling wave solutions are found, that is, the kink‐like wave and compacton‐like wave solutions. The planar graphs of these solutions are simulated by using software Mathematica; meanwhile, two new phenomena are revealed; that is, the periodic wave solution can become the kink‐like wave or compacton‐like wave solution under some conditions, respectively. Exact implicit or parameter expressions of these solutions are given.

Date: 2014
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https://doi.org/10.1155/2014/621918

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:621918

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