Similarity Reduction and Exact Solutions of a Boussinesq-like Equation

被引：8
|
作者：
Zhang, Bo [1 ]
Hu, Hengchun [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2018年 / 73卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Boussinesq-like Equation; Clarkson and Kruskal Direct Method; Group Invariant Solutions; Lie Symmetry Analysis; Similarity Reduction; LIE SYMMETRY ANALYSIS; NONLINEAR SCHRODINGER-EQUATION; JIMBO-MIWA EQUATION; DARBOUX TRANSFORMATION; BELL-POLYNOMIALS; SYSTEM; WAVES;
D O I：
10.1515/zna-2017-0442
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
The similarity reduction and similarity solutions of a Boussinesq-like equation are obtained by means of Clarkson and Kruskal (CK) direct method. By using Lie symmetry method, we also obtain the similarity reduction and group invariant solutions of the model. Further, we compare the results obtained by the CK direct method and Lie symmetry method, and we demonstrate the connection of the two methods.
引用
收藏
页码：357 / 362
页数：6
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