The method of multiscale analysis is constructed for dicrete systems of evolution equations for which the problem is that of the far behavior of an input boundary datum. Discrete slow space variables are introduced in a general setting and the related finite differences are constructed. The method is applied to a series of representative examples: the Toda lattice, the nonlinear Klein-Gordon ch...

ABSTRACT In this work, recently developed modified simple equation (MSE) method is applied to find exact traveling wave solutions of nonlinear evolution equations (NLEEs). To do so, we consider the (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony (DMBBM) equation and coupled Klein-Gordon (cKG) equations. Two classes of explicit exact solutions-hyperbolic and trigonometric ...

The purpose of this article is to solve a nonlinear fractional Klein–Fock–Gordon equation that involves recently created non-singular kernel derivative by Caputo–Fabrizio. Motivated some physical applications related the equation, we focus our study on and phenomena rated it. findings are crucial essential for explaining variety processes. In order find satisfactory approximations offered probl...