On the solutions and conservation laws of the coupled Drinfeld-Sokolov-Satsuma-Hirota system

Khadijo Rashid Adem, Chaudry Masood Khalique*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

In this paper we study the coupled Drinfeld-Sokolov-Satsuma-Hirota system, which was developed as one example of nonlinear equations possessing Lax pairs of a special form. Also this system was found as a special case of the four-reduction of the Kadomtsev-Petviashivilli hierarchy. We obtain exact solutions of the system by using Lie symmetry analysis along with the simplest equation and Jacobi elliptic equation methods. Also, symmetry reductions are obtained based on the optimal system of one-dimensional subalgebras. In addition, the conservation laws are derived using two approaches: the new conservation theorem due to Ibragimov and the multiplier method.

Original languageEnglish
Article number248
JournalBoundary Value Problems
Volume2014
Issue number1
DOIs
Publication statusPublished - 2014
Externally publishedYes

Keywords

  • Jacobi elliptic function method
  • Lie symmetry methods
  • conservation laws
  • coupled Drinfeld-Sokolov-Satsuma-Hirota system
  • simplest equation method

Fingerprint

Dive into the research topics of 'On the solutions and conservation laws of the coupled Drinfeld-Sokolov-Satsuma-Hirota system'. Together they form a unique fingerprint.

Cite this