Many new kinds exact solutions to (2 + 1)-dimensional Burgers equation and Klein–Gordon equation used a new method with symbolic computation

摘要

In this paper, we obtained many new exact solutions including 2-soliton solutions, complexiton solutions which possess various combination of trigonometric periodic, hyperbolic function, Jacobi elliptic function and rational function solutions, periodic solutions and rational solutions to (2 + 1)-dimensional Burgers equations and cubic Klein–Gordon equation, by introducing two sub-equations with different variables. We should point out that this method could be extended in many aspect. If we introduce N sub-equations with different variables for solving nonlinear partial differential equations, we could get N-soliton solutions to nonlinear partial differential equations.