Source generation of the Davey-Stewartson equation

Juan Hu*, Hong Yan Wang, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

The "source generation" procedure (SGP) proposed by Hu and Wang [Inverse Probl. 22, 1903 (2006)] provides a new way to systematically generate so-called soliton equations with self-consistent sources. In this paper, we apply this SGP to a Davey-Stewartson (DS) equation based on the Hirota bilinear form, producing a system of equations which is called the DS equation with self-consistent sources (DSESCS). Meanwhile, we obtain the Gramm-type determinant solutions to the DSESCS. Since the DS equation is a (2+1) -dimensional integrable generalization of the nonlinear Schrödinger (NLS) equation, the DSESCS may be viewed as a (2+1) -dimensional integrable generalization of the nonlinear Schrödinger equation with self-consistent sources. These results indicate the commutativity of source generation procedure and (2+1) -dimensional integrable generalizations for the NLS equation.

Original languageEnglish
Article number013506
JournalJournal of Mathematical Physics
Volume49
Issue number1
DOIs
Publication statusPublished - 2008

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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