Lie symmetries of soliton equations with self-consistent sources via source generation procedure

Juan Hu*, Xian Min Qian, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper, the 'source generation' procedure (SGP) proposed by Hu and Wang [X.B. Hu, H.Y. Wang, Construction of dKP and BKP equation with self-consistent sources, Inverse Problems 22 (2006) 1903-1920] is utilized to derive Lie symmetries of bilinear soliton equations with self-consistent sources (SESCS) such as KPESCS, BKPESCS, and differential-difference KPESCS. Furthermore, it is shown that these Lie symmetries constitute generators of the corresponding Lie symmetry algebras.

Original languageEnglish
Pages (from-to)201-213
Number of pages13
JournalJournal of Mathematical Analysis and Applications
Volume357
Issue number1
DOIs
Publication statusPublished - 1 Sep 2009

Scopus Subject Areas

  • Analysis
  • Applied Mathematics

User-Defined Keywords

  • Differential-difference KP equation
  • KP equation
  • Lie symmetries
  • Sawada-Kotera (SK) equation
  • Self-consistent sources
  • Source generation procedure

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