The singular manifold method and exact periodic wave solutions to a restricted BLP dispersive long wave system

Yan Z. Peng, E. V. Krishnan

Research output: Contribution to journalArticle

8 Citations (Scopus)


The singular manifold method, with a new algorithm, is applied to restricted Boiti-Leon-Pempinelli dispersive long wave system. A general solution involving three arbitrary functions is then obtained for the equation in question. Exact periodic wave solutions are thus expressed as rational functions of the Jacobi elliptic functions by choosing appropriately these arbitrary functions. Interaction of Jacobi elliptic waves is studied numerically and found to be nonelstic! Long wave limits yield some new types of solitary waves, dromion-like and solitoff-like structures. New types of solitary waves manifest new features of interactions, i.e. after the interaction of two groups of solitary waves, one is elastic and the other is nonelastic, which has not been reported previously.

Original languageEnglish
Pages (from-to)367-378
Number of pages12
JournalReports on Mathematical Physics
Issue number3
Publication statusPublished - Dec 2005



  • Exact solutions
  • Restricted dispersive long wave system
  • Singular manifold method

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

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