A method for constructing infinite sequence complexiton solutions to nonlinear evolution equations

作者：Taogetusang^*

来源：Acta Physica Sinica, 2011, 60(1): 010202.

• nonlinear evolution equation
• formula of nonlinear superposition
• Riccati equation
• infinite sequence exact solution

To seek new infinite sequence complexiton solutions to nonlinear evolution equations (NEE (s)), the formula of nonlinear superposition of the solutions and Backlund transformation of Riccati equation are presented, and as an illusrative exapmle, the generalized Boussinesq equation is chosen to obtain new infinite sequence complexiton solutions with the aid of symbolic computation system Mathematica, which includes complexiton solutions of hyperbolic function, triangular function type with rational function and hyperbolic function with triangular function. The method is of. significance to construct infinite sequence complexiton solutions to other NEEs.

• 出版日期2011-1
• 单位内蒙古师范大学