The exact solutions for a nonisospectral nonlinear Schr_dinger equation

Tong-ke Ning; Weiguo Zhang; Gao Jia

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The exact solutions for a nonisospectral nonlinear Schr_dinger equation

机译：非等谱非线性Schr_dinger方程的精确解

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摘要

In this paper, lax pair for the nonisospectral nonlinear Schr_dinger hierarchy is given, the time dependence of nonisospectral scattering data is derived and exact solutions for the nonisospectral nonlinear Schr_dinger hierarchy are obtained through the inverse scatter_ing transform.

机译：本文给出了非等谱非线性Schr_dinger层次的松弛对，推导了非等谱非线性散射数据的时间依赖性，并通过逆散射变换获得了非等谱非线性Schr_dinger层次的精确解。

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《Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science》 |2009年第2期|共6页
作者
Tong-ke Ning; Weiguo Zhang; Gao Jia;
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正文语种 eng
中图分类 510C0072;
关键词
exact solutions; hierarchy; time dependence;

机译：精确解;层次结构;时间依赖性;

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1. The exact solutions for a nonisospectral nonlinear Schr_dinger equation [J] . Tong-ke Ning, Weiguo Zhang, Gao Jia Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2009,第2期

机译：非等谱非线性Schr_dinger方程的精确解
2. Exact solitary and periodic wave solutions for a generalized nonlinear Schr_dinger equation~☆ [J] . Chengfeng Sun, Hongjun Gao Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2009,第5期

机译：广义非线性Schr_dinger方程的精确孤波和周期波解〜☆
3. Exact travelling wave solutions for the generalized nonlinear Schr_dinger (GNLS) equation with a source by Extended tanh-coth, sine-cosine and Exp-Function methods [J] . M. Yaghobi Moghaddam, A. Asgari, H. Yazdani Applied mathematics and computation . 2009,第2期

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4. Exact Solutions to Nonlinear Equations andSystems of Equations of General Form inMathematical Physics [C] . A. D. Polyanin, A. I. Zhurov, E. A. Vyazmina International Conference "Applications of Mathematics in Engineering and Economics" . 2008

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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

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The exact solutions for a nonisospectral nonlinear Schr_dinger equation

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