Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach

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 traveling wave solutions of some nonlinear evolution equations

Using a traveling wave reduction technique, we have shown that Maccari equation, (2?1)-dimensional nonlinear Schrödinger equation, medium equal width equation, (3?1)-dimensional modified KdV–Zakharov– Kuznetsev equation, (2?1)-dimensional long wave-short wave resonance interaction equation, perturbed nonlinear Schrödinger equation can be reduced to the same family of auxiliary elliptic-like equ...

Exact Periodic Wave Solutions to Some Nonlinear Evolution Equations

In this paper, the extended mapping method with symbolic computation is developed to obtain exact periodic wave solutions for nonlinear evolution equations arising in mathematical physics. Limit cases are studied and new solitary wave solutions and triangular periodic wave solutions are obtained. The method is applicable to a large variety of nonlinear partial differential equations, as long as...

New Exact Travelling Wave Solutions for Some Nonlinear Evolution Equations

In this paper sub-equation method with symbolic computational method is used for constructing the new exact travelling wave solutions for some nonlinear evolution equations arising in mathematical physics namely,the WBK, Z–K equation, and coupled nonlinear equations . As a result,the traveling wave solutions are obtained include, solitons, kinks and plane periodic solutions. It worthwhile to me...

Exact solutions of nonlinear interval Volterra integral equations