The Generalized Multiple Riccati Equations Rational Expansion Method and Its Application to the (2+1)-dimensional Painleve Integrable Burgers Equations

摘要

In the present paper, the generalized multiple Riccati equations rational expansion method has been used to construct a series of complexiton soliton solutions for the nonlinear (2+1)-dimensional Painleve integrable Burgers equations. With the help of symbolic computation software as Maple or Mathematica, we obtain many new types of complexiton soliton solutions, i.e. various combination of trigonometric periodic function and hyperbolic function solutions, various combination of trigonometric periodic function and rational function solutions, various combination of hyperbolic function and rational function solutions.