Journal of Engineering and Applied Sciences
ISSN: Online 1818-7803ISSN: Print 1816-949x
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New Application for Generalized Regularized Long Wave (GRLW) Equation, Modified Dispersive Water Wave (MDWW) Equation and Kawahara Equation by Homogeneous Balance Method
Wafaa M. Taha, Israa A. Ibrahim and M.S.M. Noorani
Page: 4010-4017 | Received 21 Sep 2022, Published online: 21 Sep 2022
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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.
How to cite this article:
Wafaa M. Taha, Israa A. Ibrahim and M.S.M. Noorani. New Application for Generalized Regularized Long Wave (GRLW) Equation,
Modified Dispersive Water Wave (MDWW) Equation and
Kawahara Equation by Homogeneous Balance Method.
DOI: https://doi.org/10.36478/jeasci.2019.4010.4017
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2019.4010.4017