Journal of Shanghai University(Natural Science Edition)

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Limit Solutions to Modified KdV Equation

OU Mei-ying, XUAN Qi-fei, ZHANG Da-jun

  

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2007-01-23 Revised:1900-01-01 Online:2008-04-30 Published:2008-04-30
  • Contact: ZHANG Da-jun

Abstract: This paper describes an exact limit procedure by which a simple formula for the N-doublepole solution to the modified KdV equation is derived from its 2N-soliton solution in the Hirota’s form. This procedure is general and can be applied to other nonlinear evolution equations with multi-soliton solutions in the Hirota's form.

Key words: 2N-soliton solution, bilinear equation, limit procedure, N-doublepole solution, modified KdV equation

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