Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (3): 356-.

• Articles • Previous Articles     Next Articles

A DIRECT APPROACH TO THE SOLITON PERTURBATION FOR KdV-MKdV EQUATION

 BO Liu-Xian, YA Jia-Ren, ZHOU Guang-Hui   

  1. Department of Physics, Hunan City University, Yiyang 413049, China
    Physics Department and Institute of Nonlinear Physics, Hunan Normal University, Changsha 410081, China
  • Online:2003-07-14 Published:2003-07-14
  • Supported by:

    This work was supported by the National Science Foundation of China (19775013)

Abstract:

The authors develop a direct approach to the soliton perturbation based on the
separation of variables. With the aid of approach, the first-order effects of perturbation on
a KdV-MKdV soliton are derived, both the slow time-dependence of the soliton parameters
and the first-order correction are obtained.

Key words: KdV-MKdV equation, soliton, perturbation

CLC Number: 

  • 35Q53
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