4.5 Article

Rational Solutions with Non-zero Asymptotics of the Modified Korteweg-de Vries Equation

期刊

COMMUNICATIONS IN THEORETICAL PHYSICS
卷 57, 期 6, 页码 923-929

出版社

IOP PUBLISHING LTD
DOI: 10.1088/0253-6102/57/6/03

关键词

the modified KdV equation; bilinear Backlund transformation; Wronskian; rational solutions

资金

  1. National Natural Science Foundation of China [11071157]
  2. Shanghai Leading Academic Discipline Project [J50101]

向作者/读者索取更多资源

Using the relation between the mKdV equation and the KdV-mKdV equation, we derive non-singular rational solutions for the mKdV equation. The solutions are given in terms of Wronskians. Dynamics of some solutions is investigated by means of asymptotic analysis. Wave trajectories of high order rational solutions are asymptotically governed by cubic curves.

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