The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions

被引：18
作者：
El-Ganaini, Shoukry Ibrahim Atia [1 ,2 ]
机构：
[1] Damanhour Univ, Fac Sci, Dept Math, Bahira 22514, Egypt
[2] Shaqra Univ, Fac Sci & Humanity Studies Al Quwaiaiah, Dept Math, Al Quwaiaiah 11971, Saudi Arabia
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
TRAVELING-WAVE SOLUTIONS; EXP-FUNCTION METHOD; DE-VRIES EQUATION; SOLITARY WAVES; RICCATI-EQUATIONS; OPTICAL FIBERS; TANH-COTH;
D O I：
10.1155/2013/349173
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS) equation with a source, and the higher-order nonlinear Schrodinger equation in nonlinear optical fibers. This method provides polynomial first integrals for autonomous planar systems. Through the established first integrals, exact traveling wave solutions are formally derived in a concise manner.
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页数：10
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