Analytical Solutions of Nonlinear Coupled Schrodinger–KdV Equation via Advance Exponential Expansion
Md. Mashiur Rahhman,
Ayrin Aktar,
Kamalesh Chandra Roy
Issue:
Volume 3, Issue 3, September 2018
Pages:
46-51
Received:
21 November 2018
Accepted:
8 December 2018
Published:
18 February 2019
Abstract: This research work is to represent an advance exp(-Φ(ξ))-expansion method with nonlinear ordinary differential equation for constructing interacting analytical solutions of nonlinear coupled physical models arising in science and engineering. It is capable of determining all branches of interacting analytical solutions simultaneously and this difficult to discriminate with numerical technique. To verify its computational potentiality, the coupled Schrodinger-KdV equation is considered. The obtained solutions in this work reveal that the method is a very effective and easily applicable of formulating the scattered exact traveling wave solutions of many nonlinear coupled wave equations. It is investigated the scattered wave solutions may be useful in understanding the behavior of physical structures in any varied instances, where the coupled Schrodinger-KdV equation is occurred.
Abstract: This research work is to represent an advance exp(-Φ(ξ))-expansion method with nonlinear ordinary differential equation for constructing interacting analytical solutions of nonlinear coupled physical models arising in science and engineering. It is capable of determining all branches of interacting analytical solutions simultaneously and this diffi...
Show More
