Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations

Explicit exact solutions for variable coefficient Broer-Kaup equations

Based on symbolic manipulation program Maple and using Riccati equation mapping method several explicit exact solutions including kink, soliton-like, periodic and rational solutions are obtained for (2+1)-dimensional variable coefficient Broer-Kaup system in quite a straightforward manner. The known solutions of Riccati equation are used to construct new solutions for variable coefficient Broer...

explicit exact solutions for variable coefficient broer-kaup equations

based on symbolic manipulation program maple and using riccati equation mapping method several explicit exact solutions including kink, soliton-like, periodic and rational solutions are obtained for (2+1)-dimensional variable coefficient broer--kaup system in quite a straightforward manner. the known solutions of riccati equation are used to construct new solutions for variable coefficient broe...

New Exact Solutions of a Variable-coefficient Mkdv Equation

In this paper, negatons, positons and complexiton solutions of higher order for a non-isospectral MKdV equation, the MKdV equation with loss and nonuniformity terms are obtained through the bilinear Bäcklund transformation. AMS Subject Classification: 35Q53

The First-Integral Method and Abundant Explicit Exact Solutions to the Zakharov Equations

This paper is concerned with the system of Zakharov equations which involves the interactions between Langmuir and ion-acoustic waves in plasma. Abundant explicit and exact solutions of the system of Zakharov equations are derived uniformly by using the first integral method. These exact solutions are include that of the solitary wave solutions of bell-type for n and E, the solitary wave soluti...

The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations