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B?cklund transformation and solitonic solutions for a parametric coupled Korteweg-de Vries system

机译：b？参数耦合Kortew-de Vries系统的CKLUND变换和孤子解决方案

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摘要

We analize a parametric coupled KdV system and we find a B?cklund transformation. For a positive value of the parameter the system reduces to two KdV decoupled equations. For negative value of the parameter the system has non trivial coupling and presents multisolitonic solutions generated by the B?cklund transformation. We compare the results with the already known in the literature.

机译：我们分析参数耦合的KDV系统，我们发现B？CKLUND变换。对于参数的正值，系统将减少到两个KDV解耦方程。对于参数的负值，系统具有非琐碎的耦合，并呈现由B？CKLUND变换产生的多元化溶液。我们将结果与文献中已知的结果进行比较。

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来源
《IC-MSQUARE》|2014年||共4页
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作者
Luis Cortes Vega; Alvaro Restuccia; Adrian Sotomayor;
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原文格式 PDF
正文语种
中图分类 O411-532;
关键词
parameter; value; parameter;

机译：参数;值;参数;

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专利

1. In the Atmosphere and Oceanic Fluids: Scaling Transformations, Bilinear Forms, Bäcklund Transformations and Solitons for A Generalized Vari- able-Coefficient Korteweg-de Vries-Modified Korteweg-de Vries Equation [J] . GAO Xin-yi, GUO Yong-jiang, SHAN Wen-rui, 中国海洋工程（英文版） . 2021,第004期

机译：在大气和海洋液中：广义变形系数Kortew-de Vries改进的Korteeg-de Vries方程的缩放变换，双线性形式，Bäcklund变换和孤子
2. B?cklund transformation and multi-soliton solutions for a (2 + 1)-dimensional Korteweg-de Vries system via symbolic computation [J] . Geng T., Meng X.-H., Shan W.-R., Applied mathematics and computation . 2010,第4期

机译：（2 +1）维Korteweg-de Vries系统的B？cklund变换和多孤子解，通过符号计算
3. The B?cklund transformations, exact solutions, and conservation laws for the compound modified Korteweg-de Vries-Sine-Gordon equations which describe pseudospherical surfaces [J] . Sayed S.M. Journal of applied mathematics . 2013,第Pta1期

机译：复合修正Korteweg-de Vries-Sine-Gordon方程的B？cklund变换，精确解和守恒律，这些方程描述了伪球面
4. B?cklund transformation and solitonic solutions for a parametric coupled Korteweg-de Vries system [C] . Luis Cortes Vega, Alvaro Restuccia, Adrian Sotomayor IC-MSQUARE . 2014

机译：b？参数耦合Kortew-de Vries系统的CKLUND变换和孤子解决方案
5. Low Regularity Solutions of Korteweg-de Vries and Chern-Simons-Schrodinger Equations. [D] . Liu, Baoping. 2012

机译：Korteweg-de Vries和Chern-Simons-Schrodinger方程的低正则解。
6. Solution of the pulse width modulation problem using orthogonal polynomials and Korteweg-de Vries equations [O] . D. V. Chudnovsky, G. V. Chudnovsky 1999

机译：使用正交多项式和Korteweg-de Vries方程求解脉冲宽度调制问题
7. Multisolitonic solutions from a B"acklund transformation for a parametric coupled Korteweg-de Vries system [O] . Vega, L. Cortés, Restuccia, A., Sotomayor, A. 2015

机译：来自B \“acklund变换的多声道解决方案参数耦合Korteweg-de Vries系统
8. Painleve Property, Lax Pair, Auto-Baecklund Transformation and Recursion Operator of a Perturbed Korteweg-de Vries Equation [R] . Baby, B. V. 1987

机译：具有扰动的Korteweg-de Vries方程的painleve性质，Lax对，auto-Baecklund变换和递归算子

B?cklund transformation and solitonic solutions for a parametric coupled Korteweg-de Vries system

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