Lie Symmetries and Exact Solutions for a NonlinearEvolution Equation in the AKNS Hierarchy

Dong Li; Shengqiang Tang

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Lie Symmetries and Exact Solutions for a NonlinearEvolution Equation in the AKNS Hierarchy

机译：AKNS层次结构中非线性演化方程的Lie对称性和精确解

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A nonlinear evolution equation in the AKNS hierarchy is presented. The symmetries for this equation are given. The exact traveling wave solutions are obtained by using the tanh-expand and sine-cosine methods.

机译：提出了AKNS层次结构中的非线性演化方程。给出了该方程的对称性。精确的行波解是使用tanh展开法和正弦余弦法获得的。

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《British Journal of Mathematics Computer Science》 |2013年第2期|共12页
作者
Dong Li; Shengqiang Tang;
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中图分类计算技术、计算机技术;
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1. Lie Symmetries and Exact Solutions for a Nonlinear Evolution Equation in the AKNS Hierarchy [J] . Dong Li, Shengqiang Tang British Journal of Mathematics & Computer Science . 2013,第2期

机译：AKNS层次结构中非线性发展方程的Lie对称性和精确解
2. Lie Symmetry, Full Symmetry Group and Exact Solutions to the (2+1)-Dimensional Dissipative AKNS Equation [J] . Zheng-Yi Ma, Hui-Lin Wu, Quan-Yong Zhu Romanian journal of physics . 2017,第5a6期

机译：（2 + 1）维耗散AKNS方程的Lie对称，完全对称群和精确解
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. Lie Symmetry Analysis and Exact Solutions for the Coupled Kuramoto-Sivashinsky Equations [C] . Yan Fang, Hua Cuncai, Liu Haihong, 2011 Fourth International Workshop on Chaos-Fractals Theories and Applications . 2011

机译：耦合的Kuramoto-Sivashinsky方程的Lie对称性分析和精确解
5. Long-Time Asymptotics for mKdV Type Reduced Equations of the AKNS Hierarchy in Weighted L2 Sobolev Spaces [D] . Wang, Fudong. 2021

机译：MKDV型的长时间渐近型在加权L2 Sobolev空间中的AKNS层次结构的减少方程
6. Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations [O] . Yongyi Gu, Jianming Qi -1

机译：两个高维非线性发展方程的对称约化和精确解
7. Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws [O] . Fangqin He, Lianzhong Li 2019

机译：时间分数修改KDV型方程：谎言对称，精确的解决方案和保护法
8. New Set of Symmetries of the Integrable Equations, Lie Algebra and Non-Isospectral Evolution Equations-II: (AKNS System) [R] . Li Yishen, Zhu Guocheng 1985

机译：可积方程的新对称，李代数和非等谱发展方程-II :( aKNs系统）

Lie Symmetries and Exact Solutions for a NonlinearEvolution Equation in the AKNS Hierarchy

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