On the Painleve integrability, periodic wave solutions and soliton solutions of generalized coupled higher-order nonlinear Schrodinger equations

摘要

It is proven that generalized coupled higher-order nonlinear Schrodinger equations possess the Painleve property for two particular choices of parameters, using the Weiss-Tabor-Carnevale method and Kruskal's simplification. Abundant families of periodic wave solutions are obtained by using the Jacobi elliptic function expansion method with the assistance of symbolic manipulation system, Maple. It is also shown that these solutions exactly degenerate to bright soliton, dark soliton and mixed dark and bright soliton solutions with physical interests. (c) 2005 Elsevier Ltd. All rights reserved.