Discussion on integrable properties for higher-dimensional variable-coefficient nonlinear partial differential equations

Yufeng Zhang*, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

In this paper we introduce two new higher-dimensional variable-coefficient partial differential equations. One is a (2+1)-dimensional equation which can be reduced to the well-known KP equation which first occurs to the paper B. B. Kadomtsev and V. I. Petviashvili, "On the stability of solitary waves in weakly dispersive media," Sov. Phys. Dokl.15, 539 (1970), whose bilinear representation, Lax pairs, Bëcklund transformations, and infinite conservation laws are obtained respectively by using the Bell polynomials. Another one is a (3+1)-dimensional equation whose integrability is also investigated by us and whose Lax pairs, Bëcklund transformations, and infinite conservation laws are obtained, respectively.

Original languageEnglish
Article number013516
JournalJournal of Mathematical Physics
Volume54
Issue number1
DOIs
Publication statusPublished - 22 Jan 2013

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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