On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation


SAN S., YAŞAR E.

ADVANCES IN MATHEMATICAL PHYSICS, vol.2014, 2014 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2014
  • Publication Date: 2014
  • Doi Number: 10.1155/2014/349059
  • Journal Name: ADVANCES IN MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded, Scopus

Abstract

We study the modified Hunter-Saxton equation which arises in modelling of nematic liquid crystals. We obtain local conservation laws using the nonlocal conservation method and multiplier approach. In addition, using the relationship between conservation laws and Lie-point symmetries, some reductions and exact solutions are obtained.