TY  - JOUR
T1  - New Application for Generalized Regularized Long Wave (GRLW) Equation,
Modified Dispersive Water Wave (MDWW) Equation and
Kawahara Equation by Homogeneous Balance Method
AU - Taha, Wafaa M. AU - Ibrahim, Israa A. AU - Noorani, M.S.M. 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 12
SP  - 4010
EP  - 4017
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.4010.4017
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.4010.4017
KW  - Homogeneous balance method
KW  -generalized regularized long wave equation
KW  -modified
dispersive water wave equation
KW  -Kawahara equation and solitary wave solutions
KW  -obtained results
KW  -hypothesis
AB  - 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.
ER  -