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

Zeid I. A. AI-Muhiameed; Emad A.-B. Abdel-Salam

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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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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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《Mathematical Problems in Engineering》 |2011年第2期|p.1-11|共11页
作者
Zeid I. A. AI-Muhiameed; Emad A.-B. Abdel-Salam;
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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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1. Generalized Jacobi Elliptic Function Solution to a Class of Nonlinear Schrödinger-Type Equations [J] . Zeid I. A.Al-Muhiameed, Emad A.-B.Abdel-Salam Mathematical Problems in Engineering: Theory, Methods and Applications . 2011,第5期

机译：一类非线性Schrödinger型方程的广义Jacobi椭圆函数解
2. Jacobi elliptic function solutions of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and t-dependent coefficients [J] . Yomba E Physics Letters, A . 2010,第15a16期

机译：具有非线性离散和t依赖系数的广义Zakharov-Kuznetsov方程的Jacobi椭圆函数解
3. New solitary wave solutions with compact support and Jacobi elliptic function solutions for the nonlinearly dispersive Boussinesq equations [J] . Inc M Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2008,第3期

机译：非线性弥散Boussinesq方程的新的带紧支撑的孤立波解和Jacobi椭圆函数解
4. Jacobi elliptic function-like solutions for generalized stochastic KdV equation [C] . Yuan-yuan Lu International Conference on System Science, Engineering Design and Manufacturing Informatization . 2012

机译：用于广义随机KDV方程的Jacobi椭圆函数样解决方案
5. Topics in nonlinear elliptic equations: (1) Bifurcation theory of nonlinear elliptic equations; (2) Spike layer solutions of the Cahn-Hilliard equation. [D] . Shi, Junping. 1998

机译：非线性椭圆方程的主题：（1）非线性椭圆方程的分岔理论；（2）Cahn-Hilliard方程的尖峰层解。
6. Jacobi spectral collocation method for the approximate solution of multidimensional nonlinear Volterra integral equation [O] . Yunxia Wei, Yanping Chen, Xiulian Shi, -1

机译：多维非线性Volterra积分方程近似解的Jacobi谱配点法
7. Modified nonlinearly dispersive mK(m,n, k) equations: II. Jacobi elliptic function solutions [O] . Zhenya Yan 2003

机译：修正的非线性色散mK（m，n，k）方程：II。雅可比椭圆函数解

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

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