In this article, two methods are proposed to solve the fractional Cahn-Hilliard equation. This model describes process of phase separation with nonlocal memory effects. equations have numerous applications in real-world scenarios, e.g., material sciences, cell biology, and image processing. Different types solutions been obtained. For this, complex transformation has used convert differential e...

To understand the effects that the climate change has on the evolution of species as well as the genetic consequences, we analyze an integrodifference equation (IDE) models for a reproducing and dispersing population in a spatio-temporal heterogeneous environment described by a shifting climate envelope. Our analysis on the IDE focuses on the persistence criterion, travelling wave solutions, an...

The simplest equation method presents a wide applicability to handling nonlinear wave equations. In this paper, we establish travelling wave solutions for some nonlinear evolution equations. The simplest equation method is used to construct the travelling wave solutions of new Hamiltonian amplitude equation, (3 + 1)-dimensional generalized KP equation, Burgers-KP equation, coupled Higgs field e...