Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations

Abstract  The Jimbo-Miwa equation is the second equation in the well known KP hierarchy of integrable systems, which is used to describe
certain interesting (3+1)-dimensional waves in physics but not pass any of the conventional integrability tests. The Konopelchenko-Dubrovsky
equations arose in physics in connection with the nonlinear weaves with a weak dispersion. In this paper, we obtain two families
of explicit exact solutions with multiple parameter functions for these equations by using Xu’s stable-range method and our
logarithmic generalization of the stable-range method. These parameter functions make our solutions more applicable to related
practical models and boundary value problems.

• Content Type Journal Article
• DOI 10.1007/s10440-009-9559-5
• Authors
  
  
  • Bintao Cao, Chinese Academy of Sciences Institute of Mathematics, Academy of Mathematics and Systems Science Beijing 100190 P.R. China
  
  

• Journal Acta Applicandae Mathematicae
• Online ISSN 1572-9036
• Print ISSN 0167-8019

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Original source : http://www.springerlink.com/content/37k03w0l5p2761...