Exact Traveling Wave Solutions for Higher Order Nonlinear Schrodinger Equations in Optics by Using the （G＇/G,1/G）-expansion Method  

作　　者：ZAYED E. M. E. ALURRFI K. A. E. 

机构地区：[1]Department of Mathematics, Faculty of Science, Zagazig University, P. O. Box 44519,Zagazig, Egypt

出　　处：《Journal of Partial Differential Equations》2015年第4期332-357,共26页偏微分方程（英文版）

摘　　要：The propagation of the optical solitons is usually governed by the nonlinear Schrodinger equations. In this article, the two variable （G＇/G,1/G）-expansion method is employed to construct exact traveling wave solutions with parameters of two higher order nonlinear Schrodinger equations describing the propagation of femtosecond pulses in nonlinear optical fibers. When the parameters are replaced by special values, the well-known solitary wave solutions of these equations rediscovered from the traveling waves. This method can be thought of as the generalization of well-known original （G＇/G）-expansion method proposed by M. Wang et al. It is shown that the two variable （G＇/G,1/G）-expansion method provides a more powerful mathematical tool for solving many other nonlinear PDEs in mathematical physics.

关 键 词：The two variable （G＇/G 1/G）-expansion method Schrodinger equations exact traveling wave solutions Solitary wave solutions. 

分 类 号：TN25[电子电信—物理电子学] O175.29[理学—数学]