Soliton solutions to the 3rd nonisospectral AKNS system

Bi JB; Sun YP; Chen DY

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Soliton solutions to the 3rd nonisospectral AKNS system

机译：第三非等光谱AKNS系统的孤子解决方案

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Bilinear form of the nonisospectral AKNS equation is given. The N-soliton solutions and double Wronskian solution are obtained through Hirota's direct method and Wronskian technique, respectively. The nonisospectral MKdV equation and its multi-soliton solutions are presented by reducing. (c) 2005 Elsevier B.V. All rights reserved.

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《Physica, A. Statistical mechanics and its applications》 |2006年第0期|共13页
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Bi JB; Sun YP; Chen DY;
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正文语种 eng
中图分类理论物理学;
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nonisospectral AKNS equation; nonisospectral MKdV equation; Wronskian technique; KADOMTSEV-PETVIASHVILI EQUATIONS; KORTEWEG-DEVRIES; EVOLUTION-EQUATIONS; WRONSKIAN TECHNIQUE; TRANSFORM;

机译：非等谱AKNS方程;非等谱MKdV方程;Wronskian技术;KADOMTSEV-PETVIASHVILI方程;KORTEWEG-装置;演化方程;WRONSKIAN技术;变换;

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1. Soliton solutions to the 3rd nonisospectral AKNS system [J] . Bi JB, Sun YP, Chen DY Physica, A. Statistical mechanics and its applications . 2006,第0期

机译：第三非等光谱AKNS系统的孤子解决方案
2. Soliton Solutions for Nonisospectral AKNS Equation by Hirota's Method [J] . 理论物理通讯（英文版） . 2006,第003期

机译：Hirota方法求解非等光谱AKNS方程的孤子解
3. The noncommutative AKNS system: Projection to matrix systems, countable superposition and soliton-like solutions [J] . Schiebold C. Journal of physics, A. Mathematical and theoretical . 2010,第43期

机译：非可交换AKNS系统：投影到矩阵系统，可数叠加和类孤子解
4. Soliton solutions of coupled systems by improved (G'/G)-expansion method [C] . Syed Tauseef Mohyud-Din, Muhammad Shakeel International Workshop on Nonlinear and Modern Mathematical Physics . 2013

机译：通过改进的耦合系统孤子解决方案（G'/ G） - 扩张方法
5. Quaternion-Valued Solutions to the KdV Equation: Tail Behavior and Non-Uniqueness of 1-Soliton Solutions [D] . Hilliard, Zachary Thomas. 2021

机译：kdv方程的四元值 - 值解决方案：尾部行为和1-soliton解决方案的非唯一性
6. Some novel soliton solution breather solution and Darboux transformation for a generalized coupled Toda soliton hierarchy [O] . Fajun Yu, Li Li, Shuo Feng -1

机译：广义耦合Toda孤子层次的一些新颖孤子解呼吸解和Darboux变换
7. New derivation of soliton solutions to the AKNS2system via dressing transformation methods [O] . A de O Assunção, H Blas, M J B F da Silva 2012

机译：通过梳妆改变方法新推导孤子解决方案的AKNS2系统

Soliton solutions to the 3rd nonisospectral AKNS system

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