Lie symmetries, conservation laws and analytical solutions for two-component integrable equations

被引：29

作者：

Feng, Lian-Li ^{[1
]}

Tian, Shou-Fu ^{[1
,2
]}

Zhang, Tian-Tian ^{[1
]}

Zhou, Jun ^{[3
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Peoples R China

[2] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

[3] Cent Univ Finance & Econ, Sch Management Sci & Engn, Beijing 100081, Peoples R China

来源：

CHINESE JOURNAL OF PHYSICS | 2017年 / 55卷 / 03期

关键词：

Two-component integrable equations; Lie point symmetries; Similarity reductions; Conservation laws; Analytical solutions; PERIODIC-WAVE SOLUTIONS; RATIONAL CHARACTERISTICS; NONLOCAL SYMMETRY; KDV; CLASSIFICATION; TRANSFORMATION; SYSTEMS;

D O I：

10.1016/j.cjph.2017.03.008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, two-component integrable equations, which can be used to describe many physical phenomena, are investigated. The Lie symmetry method is used to study their vector fields and optimal systems. Furthermore, the symmetry reductions and conservation laws of the equations are obtained on the basis of the optimal systems. Finally, based on the power series theory, a kind of explicit power series solutions for the equations are constructed with a detailed derivation. (C) 2017 The Physical Society of the Republic of China (Taiwan). Published by Elsevier B.V. All rights reserved.

引用

页码：996 / 1010

页数：15

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