Lie Symmetry Reductions, Exact Solutions and Conservation Laws of the Third Order Variant Boussinesq System


Yasar E., Giresunlu I. B.

ACTA PHYSICA POLONICA A, vol.128, no.3, pp.252-255, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 128 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.12693/aphyspola.128.252
  • Title of Journal : ACTA PHYSICA POLONICA A
  • Page Numbers: pp.252-255

Abstract

The Lie group method is applied to the third order variant Boussinesq system, which arises in the modelling of the water waves. The symmetry reductions and invariant solutions are obtained with respect to Lie point symmetry generators of the underlying system. In addition, we derive conservation laws of the variant Boussinesq system.