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Generalized Jacobi Elliptic Function Solution to a Class of Nonlinear Schroedinger-Type Equations

机译:一类非线性Schroedinger型方程的广义Jacobi椭圆函数解

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摘要

With the help of the generalized Jacobi elliptic function, an improved Jacobi elliptic function method is used to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way. A class of nonlinear Schrodinger-type equations including the generalized Zakharov system, the Rangwala-Rao equation, and the Chen-Lee-Lin equation are investigated, and the exact solutions are derived with the aid of the homogenous balance principle.
机译:在广义雅可比椭圆函数的帮助下,采用改进的雅可比椭圆函数方法以统一的方式构造非线性偏微分方程的精确行波解。研究了包括广义Zakharov系统,Rangwala-Rao方程和Chen-Lee-Lin方程在内的一类非线性Schrodinger型方程,并利用齐次平衡原理推导了精确解。

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  • 来源
    《Mathematical Problems in Engineering》 |2011年第2期|p.1-11|共11页
  • 作者单位

    Department of Mathematics, Faculty of Science, Qassim University, Buraida 51452, Saudi Arabia;

    Department of Mathematics, Faculty of Science, Qassim University, Buraida 51452, Saudi Arabia,Department of Mathematics, New Valley Faculty of Education, Assiut University, El-Kharga, New Valley 71516, Egypt;

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