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Inverse scattering transform for variable coefficient KdV equation in shallow water.

机译：浅水可变系数KdV方程的逆散射变换。

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摘要

In this thesis, we introduce the method of inverse scattering transform to solve a non-linear partial differential KdV equation. Also, we show how this method is used to solve the variable coefficient KdV equation. Finally, we talk about the interactions of soliton solution for the above mentioned equation. Our study reveals some remarkable results and an example is given in support of these results.

机译：本文介绍了一种逆散射变换的方法来求解非线性偏微分KdV方程。此外，我们展示了如何使用此方法求解可变系数KdV方程。最后，我们讨论上述方程的孤子解的相互作用。我们的研究揭示了一些非凡的结果，并举例说明了这些结果。

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作者
Al-Humaidi, Saleh Ahmed.;
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作者单位

King Fahd University of Petroleum and Minerals (Saudi Arabia).;

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授予单位 King Fahd University of Petroleum and Minerals (Saudi Arabia).;
学科 Mathematics.
学位 M.S.
年度 2004
页码 88 p.
总页数 88
原文格式 PDF
正文语种 eng
中图分类数学;
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1. Symmetries of the Variable Coefficient KdV Equation and Three Hierarchies of the Integrodifferential Variable Coefficient KdV Equation [J] . ZHANG Jiefang, HAN Ping 中国物理快报：英文版 . 1994,第012期

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2. The Jacobi elliptic function-like exact solutions to two kinds of KdV equations with variable coefficients and KdV equation with forcible term [J] . Taogetusang, Sirendaoerji Chinese physics . 2006,第12期

机译：两类变系数KdV方程和带强迫项的KdV方程的类Jacobi椭圆函数精确解
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4. A New Variable-Coefficient AKNS Hierarchy and its Exact Solutions via Inverse Scattering transform [C] . Sheng Zhang, Xudong Gao International Conference on Machinery, Materials and Information Technology Applications . 2016

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5. Inverse Scattering Transform and Solitons for Matrix Nonlinear Schr?dinger Systems and for the Defocusing Ablowitz-Ladik Equation with Nonzero Boundary Conditions [D] . Ortiz, Alyssa Kayelin. 2019

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6. Simple Equations Method (SEsM): Algorithm Connection with Hirota Method Inverse Scattering Transform Method and Several Other Methods [O] . Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov 2021

机译：简单方程式方法（SESM）：算法与Hirota方法的连接逆散射变换方法和其他几种方法
7. Inverse scattering transform for variable coefficient KdV equation in shallow water [O] . Al-Humaidi Saleh Ahmed 2004

机译：浅水变系数KdV方程的逆散射变换

Inverse scattering transform for variable coefficient KdV equation in shallow water.

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