Authors : Wafaa M. Taha, Israa A. Ibrahim and M.S.M. Noorani
Abstract: This research study examines the homogeneous balance method to obtain an exact solution of travelling wave non-linear equations. The proposed homogeneous balance method is used to obtain new solutions for Generalized Regularized Long Wave (GRLW) equation, Modified Dispersive Water Wave (MDWW) equation and Kawahara equation. Many solitary wave solutions are calculated from the solution by the hyperbolic function when parameters were taken as special values. The obtained results are compared with the F-expansion method solution and (G’/G)-expansion method solution. The comparison reveals that our obtained results are identical to the F-expansion method and (G’/G)-expansion method solutions when certain hypothesis is adopted. Maple Software is used to plot the 3D graph of the obtained exact solution.
Wafaa M. Taha, Israa A. Ibrahim and M.S.M. Noorani, 2019. New Application for Generalized Regularized Long Wave (GRLW) Equation, Modified Dispersive Water Wave (MDWW) Equation and Kawahara Equation by Homogeneous Balance Method. Journal of Engineering and Applied Sciences, 14: 4010-4017.