Chin. Phys. B ›› 2012, Vol. 21 ›› Issue (12): 120204-120204.doi: 10.1088/1674-1056/21/12/120204
吴江龙a, 楼森岳b
Wu Jiang-Long (吴江龙)a, Lou Sen-Yue (楼森岳)b
摘要: It is difficult to obtain exact solutions of the nonlinear partial differential equations (PDEs) due to the complexity and nonlinearity, especially for non-integrable systems. In this paper, some reasonable approximations of real physics are considered, and the invariant expansion is proposed to solve real nonlinear system. A simple invariant expansion with quite a universal pseudopotential is used for some nonlinear PDEs such as Korteweg-de Vries (KdV) equation with fifth-order dispersion term, perturbed fourth-order KdV equation, KdV-Burgers equation, and Boussinesq type of equation.
中图分类号: (Partial differential equations)