New exact travelling wave solutions to hirota equation and (1+1)-dimensional dispersive long wave equation

Qi Wang*, Yong Chen, Biao Li, Hong Qing Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

Based on the computerized symbolic Maple, we study two important nonlinear evolution equations, i.e., the Hirota equation and the (1+1)-dimensional dispersive long wave equation by use of a direct and unified algebraic method named the general projective Riccati equation method to find more exact solutions to nonlinear differential equations. The method is more powerful than most of the existing tanh method. New and more general form solutions are obtained. The properties of the new formal solitary wave solutions are shown by some figures.

Original languageEnglish
Pages (from-to)821-828
Number of pages8
JournalCommunications in Theoretical Physics
Volume41
Issue number6
DOIs
StatePublished - 15 Jun 2004
Externally publishedYes

Keywords

  • (1+1)-dimensional dispersive long wave equation
  • Hirota equation
  • Projective Riccati equation method

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