Combined Sinh-Cosh-Gordon equation: Symmetry reductions, exact solutions and conservation laws

  • CM Khalique
  • G Magalakwe

Abstract

In this paper we study the combined sinh-cosh-Gordon equation, which arises in mathematical physics and has a wide range of scientific applications that range from chemical reactions to water surface gravity waves. We employ Lie symmetry analysis along with the simplest equation method to obtain exact solutions based on the optimal systems of one-dimensional subalgebras for the combined sinhcosh-Gordon equation. Furthermore, conservation laws for the combined sinh-cosh-Gordon equation are derived by employing two different methods; the direct method and new conservation theorem.

Quaestiones Mathematicae 37(2014), 199–214

Author Biographies

CM Khalique
International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa
G Magalakwe
International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa
Published
2014-06-30
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606