New Exact Complex Solutions for Third-order Isospectral AKNS and the MBBM Equations

Hong-Cai Ma; Ai-Ping Deng

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New Exact Complex Solutions for Third-order Isospectral AKNS and the MBBM Equations

机译：三阶等光谱AKNS和MBBM方程的新精确复杂解

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摘要

A direct algebraic method is introduced to construct the exact complex solutions for third-order isospectral AKNS and the modified Benjamin-Bona-Mahony equations using auxiliary ordinary differential equations.

机译：引入了直接代数方法，利用辅助常微分方程构造了三阶等谱AKNS和修正的Benjamin-Bona-Mahony方程的精确复解。

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《International journal of nonlinear sciences and numerical simulation》 |2009年第2期|共5页
作者
Hong-Cai Ma; Ai-Ping Deng;
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正文语种 eng
中图分类数值分析;
关键词
Exact complex solutions; Auxiliary equation method; Third-order isospectral AKNS equation; The modified Benjamin-Bona-Mahony equation;

机译：精确复解;辅助方程法;三阶等谱AKNS方程;修正的Benjamin-Bona-Mahony方程;

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专利

1. New Exact Complex Solutions for Third-order Isospectral AKNS and the MBBM Equations [J] . Hong-Cai Ma, Ai-Ping Deng International journal of nonlinear sciences and numerical simulation . 2009,第2期

机译：三阶等光谱AKNS和MBBM方程的新精确复杂解
2. Exact Solutions of the BBM and MBBM Equations by the Generalized (G'/G )-expansion Method Equations [J] . J. Manafianheris International Journal of Genetic Engineering . 2012,第3期

机译：用广义（G'/ G）展开法方程求BBM和MBBM方程的精确解。
3. Solutions to tau-equation hierarchy related to the AKNS spectral problem: Addendum to "The exact solutions for the nonisospectral AKNS hierarchy through the inverse scattering transform" - [Physica A 339 (2004) 248-266] [J] . Ning TK, Chen DYL, Zhang D Physica, A. Statistical mechanics and its applications . 2005,第3a4期

机译：与AKNS光谱问题有关的tau方程层次的解决方案：“通过逆散射变换对非等光谱AKNS层次的精确解”的附录-[Physica A 339（2004）248-266]
4. Dynamics and Exact Solutions of Third-order Nonlinear Evolutionary Differential Equations [C] . Alexei G. Kushner, Elena N. Kushner International Conference on Management of large-scale system development . 2020

机译：三阶非线性演化微分方程的动力学和精确解
5. Exact Topological Soliton Solutions of the Dispersive, Strongly Perturbed, and 2D Sine-Gordon Type Equations [D] . Johnson, Stephen. 2018

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6. Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations [O] . Rasool Shah, Hassan Khan, Muhammad Arif, 2019

机译：拉普拉斯 - adomian分解方法在三阶分散分数偏微分方程分析解的应用
7. Mixed spectral AKNS hierarchy from linear isospectral problem and its exact solutions [O] . Zhang Sheng, Gao Xu-Dong 2015

机译：线性等谱问题的混合光谱aKNs层次及其确切的解决方案

New Exact Complex Solutions for Third-order Isospectral AKNS and the MBBM Equations

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