A semidiscrete Gardner equation

Haiqiong ZHAO; Zuonong ZHU

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A semidiscrete Gardner equation

机译：半离散Gardner方程

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摘要

We construct the Darboux transformations, exact solutions, and infinite number of conservation laws for a semidiscrete Gardner equation. A special class of solutions of the semidiscrete equation, called table-top solitons, are given. The dynamical properties of these solutions are also discussed.

机译：我们为半离散Gardner方程构造Darboux变换，精确解和无穷大的守恒律。给出了半离散方程的一类特殊的解决方案，称为桌面孤子。还讨论了这些解决方案的动力学特性。

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来源
《Frontiers of mathematics in China》 |2013年第5期|1099-1115|共17页
作者
Haiqiong ZHAO; Zuonong ZHU;
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作者单位

Business Information Management School, Shanghai University of International Business and Economics, Shanghai 201620, China;

Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Semidiscrete Gardner equation; Darboux transformation; exact solution;

机译：半离散Gardner方程;Darboux转型;确切的解决方案;

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2. New Nonlinear Equations: Two-Mode Gardner and Two-Mode Fisher Equations [J] . Alquran Marwan, Jaradat H. M, Syam Muhammed I Journal of computational and theoretical nanoscience . 2018,第11a12期

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5. Isabella Stewart Gardner and 'the Spirit of Place': A spiritual journey through the Isabella Stewart Gardner Museum. [D] . Kilanowski, Kurt R. 2014

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7. Integrable Discrete Nonautonomous Quad-equations as Bäcklund Auto-transformations for Known Volterra and Toda Type Semidiscrete Equations [O] . R. N. Garifullin, R. I. Yamilov 2016

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8. Two-Step Splitting Methods for Semidiscrete Second Order Hyperbolic Partial Differential Equations [R] . Devries, H. B. 1982

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A semidiscrete Gardner equation

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