Chang Lin

Exp-function method for solving the generalized-Zakharov equations☆

The Exp-function method is used to seek exact solutions of the generalized-Zakharov equations. The validity and reliability of the method is tested by its applications on a class of nonlinear evolution equations of special interest in mathematical physics. As a result, many exact traveling wave solutions are obtained which include single and combined generalized solitonary solutions. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.

Explicit exact solutions for the (2+1)-dimensional Konopelchenko-Dubrovsky equation

In this paper, we construct new explicit exact solutions for the coupled the (2+1)-dimensional Konopelchenko-Dubrovsky equation (KD equation) by using a improved mapping approach and variable separation method. By means of the method, new types of variable-separation solutions (including solitary wave solutions, periodic wave solutions and rational function solutions) for the KD system are successfully obtained. The improved mapping approach and variable separation method can be applied to other higher-dimensional coupled nonlinear evolution equations.

Theoretical results of the dust acoustic waves in a magnetized dusty plasma with different dust particles

In this paper, the nonlinear dust acoustic waves (DAW) in a magnetized dusty plasmas with different dust grains are analytically investigated. New analytical solutions of the governing equation for this system have been obtained for the first time. The exact mathematical expressions of the nonlinear dust waves have been canvassed for the general case in magnetized dusty plasma containing different dust particles.