Author/Authors :
Magalakwe، g نويسنده 1School of Computer, Statistical and Mathematical Sciences, North-West University, Potchefstroom Campus, Private Bag X 2520, Republic of South Africa , , Muatjetjeja، B نويسنده nternational Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa , , Khalique2، M نويسنده International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa ,
Abstract :
This paper aims to study a generalized double sinh-Gordon equation, which appears in several physical
phenomena such as integrable quantum field theory, kink dynamics and fluid dynamics. Lie symmetry analysis
together with the simplest equation method is used to obtain exact solutions for this equation. Moreover, we derive
conservation laws for the equation by using two different approaches, namely, the direct method and the new
conservation theorem due to Ibragimov.
