Acta mathematica scientia,Series A

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Stability of Compacton Solutions and Backlund Transformation for One Type of Nonlinear Equations

Yin Jiuli; Tian Lixin   

  1. Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang 212003
  • Received:2005-09-21 Revised:2006-05-12 Online:2007-02-25 Published:2007-02-25
  • Contact: Yin Jiuli

Abstract: Introducing K(m,n,1) equation with linear fifth-order dispersion, the authors obtain sin-compacton solutions by Adomian decomposition method. Using the homogeneous balance(HB) method, the authors obtain a Backlund transformation of a special equation K(2,2,1) to determine some new solitary solutions of the equation. The authors finally show the linear stability of all obtained sin-typed multi-compacton solutions.

Key words: K(m,n,1) equation, Compacton, Backlund transformation, Linear stability

CLC Number: 

  • 35Q
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