Investigation of Exact Solutions of Nonlinear Evolution Equations Using Unified Method

Exact solutions of (3 +1)-dimensional nonlinear evolution equations

In this paper, the kudryashov method has been used for finding the general exact solutions of nonlinear evolution equations that namely the (3 + 1)-dimensional Jimbo-Miwa equation and the (3 + 1)-dimensional potential YTSF equation, when the simplest equation is the equation of Riccati.

Exact solutions of nonlinear interval Volterra integral equations

Exact Solutions for Some (2+1)-Dimensional Nonlinear Evolution Equations by Using Tanh-coth Method

In this work, we established exact solutions for some nonlinear evolution equations. The tanhcoth method was used to construct solitary and soliton solutions of (2+1)-dimensional nonlinear evolution equations. The tanh-coth method presents a wider applicability for handling nonlinear wave equations.

A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations

A unified basic frame of rational expansion methods is presented, which leads to closed-form solutions of nonlinear evolution equations (NLEEs). The new unified algorithms are given to find exact rational formal polynomial solutions of NLEEs in terms of Jacobi elliptic functions, solutions of the Riccati equation and solutions of the generalized Riccati equation. They can be implemented in symb...

Study of Integrability and Exact Solutions for Nonlinear Evolution Equations

and Applied Analysis 3 Two papers in our special issue are concerned about the study of application to the symbolic computation method and special function. In the paper titled “New nonlinear systems admitting Virasoro-type symmetry algebra and groupinvariant solutions” by L. Wang et al., the authors extend the application of Virasoro-type symmetry prolongationmethod to coupled systems with two...