In recent years, many methods have been used to find the exact solutions of nonlinear partial differential equations. One of them is called the first integral method, which is based on the ring theory ...

The authors declare no conflicts of interest. [1] R. S. Johnson, “A Non-Linear Equation Incorporating Damping and Dispersion,” Journal of Fluid Mechanics, Vol. 42 ...

Abstract: We analyse model problems of stress-induced atomic diffusion from a point source or from the surface of a material into an infinite or semi-infinite grain boundary, respectively. The ...

Abstract: Differential equations are frequently used to analyze and design analog circuits and numerically solved from computation of difference equations. The equivalent difference equations are ...

Nonlinear problems, originating from applied science that is closely related to practices, contain rich and extensive content. It makes the corresponding nonlinear models also complex and diverse. Due ...