A new complex line soliton for the two-dimensional KdV-Burgers equation

Engui Fan, Jian Zhang, Benny Y.C. Hon

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

79 Citations (Scopus)

Abstract

Making use of a extended tanh method with symbolic computation, we find a new complex line soliton for the two-dimensional (2D) KdV-Burgers equation. Its real part is the sum of the shock wave solution of a 2D Burgers equation and the solitary wave solution of a 2D KdV (KP) equation, and its imaginary part is the product of the shock wave solution of a 2D Burgers equation and the solitary wave solution of a 2D MKdV (MKP) equation. © 2001 Elsevier Science B.V. All rights reserved.
Original languageEnglish
Pages (from-to)376-380
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume291
Issue number6
DOIs
Publication statusPublished - 17 Dec 2001

Research Keywords

  • Complex line soliton
  • Extended tanh method
  • Symbolic computation
  • Two-dimensional KdV-Burgers equation

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