Lamé function and multi-order exact solutions to nonlinear evolution equations
The Lamé equation and Lamé functions are applied to solve nonlinear evolution equations. When the perturbation method and two kinds of Lamé functions \(L_3(x)\) and \(L_2(x)\) are considered, then the multi-order solutions are obtained for these nonlinear evolution equations. The results obtained in this paper are very useful for nonlinear instability analysis of nonlinear coherent structures.
scientific article; zbMATH DE number 2077274
scientific article