On the three-dimensional three-wave equation with self-consistent sources

Juan Hu*, Xing Biao Hu, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

In this Letter, a three-dimensional three-wave equation with self-consistent sources (3D3W ESCS) is constructed via the source generation procedure. The corresponding Grammian determinant solutions are then derived. As a simple case, the (1,1,1)-lump solution is subsequently examined. A new feature of this 3D3W ESCS is that we allow (a1X1+a 2X2+a3X3)-dependence of the arbitrary constants in the determinant solution for the three-dimensional three-wave equation while applying the source generation procedure. Finally, we show how this new system is reduced to other systems with self-consistent sources.

Original languageEnglish
Pages (from-to)2402-2407
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume376
Issue number35
DOIs
Publication statusPublished - 16 Jul 2012

Scopus Subject Areas

  • Physics and Astronomy(all)

User-Defined Keywords

  • Determinant solution
  • Self-consistent sources
  • Source generation procedure
  • Three-dimensional three-wave equation

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