Analytical Solutions of Nonlinear Coupled Schrodinger–KdV Equation via Advance Exponential Expansion

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.

Rouge wave solutions of a nonlinear pseudo-parabolic physical model through the advance exponential expansion method

“…In the present work, we consider the one dimensional Oskolkov condition. Implementing the advance ( − ( )) -expansion strategy [21]. We attain the several wave solutions.…”