Matrix Boussinesq solitons and their tropical limit

Dimakis Aristophanes; Mueller-Hoissen Folkert; Chen Xiao-Min

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Matrix Boussinesq solitons and their tropical limit

机译：矩阵Boussinesq孤子及其热带极限

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摘要

We study soliton solutions of matrix 'good' Boussinesq equations, generated via a binary Darboux transformation. Essential features of these solutions are revealed via their 'tropical limit', as also exploited in previous work about the KP equation. This limit associates a point particle interaction picture with a soliton (wave) solution.

机译：我们研究了通过二进制DARBOUX转换产生的矩阵“良好”Boussinesq方程的孤子解决方案。这些解决方案的基本特征是通过其“热带限制”揭示的，也可以在以前的关于KP方程的工作中被剥削。该限制将点粒子相互作用图像与孤子（波）解决方案相关联。

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来源
《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2019年第3期|共15页
作者
Dimakis Aristophanes; Mueller-Hoissen Folkert; Chen Xiao-Min;
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作者单位

Univ Aegean Dept Financial &

Management Engn Chios Greece;

Max Planck Inst Dynam &

Self Org Gottingen Germany;

Max Planck Inst Dynam &

Self Org Gottingen Germany;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Boussinesq equation; solitons; tropical limit; Darboux transformation;

机译：Boussinesq方程;孤子;热带限制;Darboux转型;

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1. Matrix Boussinesq solitons and their tropical limit [J] . Dimakis Aristophanes, Mueller-Hoissen Folkert, Chen Xiao-Min Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2019,第3期

机译：矩阵Boussinesq孤子及其热带极限
2. Solitons and singular solitons for a variety of Boussinesq-like equations [J] . Abdul-Majid Wazwaz Ocean Engineering . 2012,第OCTa期

机译：各种类Boussinesq方程的孤子和奇异孤子
3. N-solitons, breathers and rogue waves for a generalized Boussinesq equation [J] . Yu-Lan Ma International journal of computer mathematics . 2020,第5a8期

机译：用于广义Bousinesq方程的N-孤子，呼吸和流氓波
4. A Numerical Investigation of Stability of 1D Soliton Solutions of Boussinesq Paradigm Equation in the 2D Case [C] . D. Vasileva International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences . 2014

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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. Limits of Coherency and Strain Transfer in Flexible 2D van der Waals Heterostructures: Formation of Strain Solitons and Interlayer Debonding [O] . Hemant Kumar, Liang Dong, Vivek B. Shenoy -1

机译：柔性二维范德华异质结构中相干性和应变传递的极限：应变孤子的形成和层间剥离
7. Matrix Boussinesq solitons and their tropical limit [O] . Aristophanes Dimakis, Folkert Müller-Hoissen, Xiao-Min Chen 2019

机译：矩阵Boussinesq孤子及其热带极限

Matrix Boussinesq solitons and their tropical limit

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