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

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  • Shaoyong Li
  • Ming Song

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.

Suggested Citation

  • Shaoyong Li & Ming Song, 2014. "Kink-Like Wave and Compacton-Like Wave Solutions for a Two-Component Fornberg-Whitham Equation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, March.
    • Handle: RePEc:hin:jnlaaa:621918
    DOI: 10.1155/2014/621918
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