Conservation laws and double reduction of (2+1) dimensional Calogero-Bogoyavlenskii-Schiff equation

SAN S., Akbulut A., ÜNSAL Ö., TAŞCAN F.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.40, no.5, pp.1703-1710, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 5
  • Publication Date: 2017
  • Doi Number: 10.1002/mma.4091
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1703-1710
  • Keywords: conservation laws, symmetry generators, generalized double reduction, (2+1) dimensional, Calogero-Bogoyavlenskii-Schiff equation, PARTIAL-DIFFERENTIAL-EQUATIONS, SYMMETRIES
  • Bursa Uludag University Affiliated: No

Abstract

In this paper, we obtain conservation laws of (2+1) dimensional Calogero-Bogoyavlenskii-Schiff equation by non-local conservation theorem method. Besides, exact solutions are obtained by the aid of the symmetries associated with conservation laws. Double reduction is used to obtain these exact solution of Calogero-Bogoyavlenskii-Schiff equation. Copyright (C) 2016 John Wiley & Sons, Ltd.