Malaysian Journal of Mathematical Sciences, April 2017, Vol. 11(S)
Special Issue: The 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016)
Travelling Wave Solutions and Conservation Laws of the Korteweg-de Vries-Burgers Equation with Power Law Nonlinearity
Mhlanga, I. E. and Khalique, C. M.
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
In this work we present travelling wave solutions and conservation laws of the Korteweg-de Vries-Burgers equation with power law nonlinearity. This is a modification of the Korteweg-de Vries-Burgers equation which was derived for a wide class of nonlinear system in weak nonlinearity and long wavelength approximation. Lie symmetry method along with Kudryashov's approach are used to obtain exact solutions while the new theorem due to Ibragimov is used to construct conservation laws.
Keywords: Travelling wave solutions, conservation laws and Kortewegde Vries-Burgers equation with power law nonlinearity
