Kamal Transform Based Analytical Solution of a Generalized Nonlinear Hirota-Satsuma Coupled Equations
J. A. Owolabi *
Mathematics Programme, Bowen University, P.M.B. 284, Iwo, Osun State, Nigeria.
R. A. Oderinu
Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Oyo State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper, generalized Hirota-Satsuma Coupled Kdv equations were solved numerically by the Kamal decomposition transform method. Adomian polynomial was incorporated into the scheme of Kamal transform to linearize the nonlinear terms. The results gotten were compared with the homotopy perturbation method (HPM). The numerical results reveal that the Kamal decomposition transform method is effective, convenient, and more accurate for solving systems of nonlinear partial differential equations arising in science and engineering.
Keywords: Drought stress, Kamal transform, new germplasm, Adomian polynomial, protein spot, Generalized Hirota-Satsuma Coupled Kdv equations, rice and two-dimensional gel electrophoresis