Two systems of two-component integrable equations: Multiple soliton solutions and multiple singular soliton solutions

Wazwaz AM

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Two systems of two-component integrable equations: Multiple soliton solutions and multiple singular soliton solutions

机译：两个系统的两部分可积分方程：多个孤子解和多个奇异孤子解

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In this work, we study two systems of two-component integrable equations. The Cole-Hopf transformation and Hirota's bilinear method are applied to emphasize the integrability of each system. Multiple soliton solutions and multiple singular soliton solutions are formally derived. (C) 2008 Elsevier Inc. All rights reserved.

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《Applied mathematics and computation》 |2009年第2期|共9页
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Wazwaz AM;
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正文语种 eng
中图分类应用数学;
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Integrable systems; Cole-Hopf transformation; Hirota bilinear method; Multiple soliton solutions; Singular soliton solutions; SHALLOW-WATER WAVES; TANH-COTH METHOD; HIROTA 3-SOLITON CONDITION; MODEL-EQUATIONS; KP EQUATION; NONLINEAR EVOLUTION; BILINEAR EQUATIONS; FRONT SOLUTIONS; SEARCH;

机译：可积系统;Cole-Hopf变换;Hirota双线性法;多个孤子解;奇异孤子解;浅水波;TANH-COTH方法;HIROTA 3-孤子条件;模型方程;KP方程;非线性演化;双线性方程;前解决方案;搜索;

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1. Two systems of two-component integrable equations: Multiple soliton solutions and multiple singular soliton solutions [J] . Wazwaz AM Applied mathematics and computation . 2009,第2期

机译：两个系统的两部分可积分方程：多个孤子解和多个奇异孤子解
2. A note on "The integrable KdV6 equation: Multiple soliton solutions and multiple singular soliton solutions" [J] . Yi Zhang, Xiao-na Cai, Hong-xian Xu Applied mathematics and computation . 2009,第1期

机译：关于“可积KdV6方程：多个孤子解和多个奇异孤子解”的注释
3. Four (2+1)-dimensional integrable extensions of the KdV equation: Multiple-soliton and multiple singular soliton solutions [J] . Wazwaz AM Applied mathematics and computation . 2009,第4期

机译：KdV方程的四（2 + 1）维可积扩展：多孤子和多奇异孤子解
4. Generalized Kaup—Kupershmidt Solitons, Static Solitons andBoundary Generated Solitons — Solutions of the KdV andHigher Order KdV Equations [C] . G.I. Burde International Conference on Numerical Analysis and Applied Mathematics . 2010

机译：广义Kaup-kupershmidt孤子，静态孤子和孤立的孤子 - KDV和高阶KDV方程的解决方案
5. Soliton solutions to integrable equations. [D] . Wang, Haiqi. 2010

机译：可积方程的孤子解。
6. Bright-Dark and Multi Solitons Solutions of (3 + 1)-Dimensional Cubic-Quintic Complex Ginzburg–Landau Dynamical Equation with Applications and Stability [O] . Chen Yue, Dianchen Lu, Muhammad Arshad, 2020

机译：（3 + 1） - 二维立方 - Quid-Complex Ginzburg-Landau的亮度和多孤子解决方案具有应用和稳定性的动态方程
7. The General Forms of the Multiple-Soliton Solutions for the Completely Integrable Equations by Using the Simplest Equation Method [O] . Sen-Yung Lee 2015

机译：通过使用最简单的等式方法，通过最简单的方程式的多孤子解的一般形式

Two systems of two-component integrable equations: Multiple soliton solutions and multiple singular soliton solutions

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