Higher-dimensional KdV equations and their soliton solutions

Yu Feng Zhang*, Hon Wah TAM, Jing Zhao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

A (2+1)-dimensional KdV equation is obtained by use of Hirota method, which possesses N-soliton solution, specially its exact two-soliton solution is presented. By employing a proper algebraic transformation and the Riccati equation, a type of bell-shape soliton solutions are produced via regarding the variable in the Riccati equation as the independent variable. Finally, we extend the above (2+1)-dimensional KdV equation into (3+1)-dimensional equation, the two-soliton solutions are given.

Original languageEnglish
Pages (from-to)411-413
Number of pages3
JournalCommunications in Theoretical Physics
Volume45
Issue number3
DOIs
Publication statusPublished - 15 Mar 2006

Scopus Subject Areas

  • Physics and Astronomy (miscellaneous)

User-Defined Keywords

  • Bilinear operator
  • Kdv equation
  • Soliton equation

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