Residual Symmetries and Interaction Solutions for the Classical Korteweg-de Vries Equation

被引:1
|
作者
Fei, Jin-Xi [1 ]
Cao, Wei-Ping [1 ]
Ma, Zheng-Yi [2 ,3 ]
机构
[1] Lishui Univ, Dept Elect, Lishui 323000, Peoples R China
[2] Lishui Univ, Dept Math, Lishui 323000, Peoples R China
[3] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
来源
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2017年 / 72卷 / 03期
关键词
Consistent Tanh Expansion Method; Interaction Solution; KdV Equation; Residual Symmetry; PARTIAL-DIFFERENTIAL-EQUATIONS; PAINLEVE PROPERTY; INTERNAL SOLITONS; WAVE SOLUTIONS; FAMILIES; MODELS; OCEAN;
D O I
10.1515/zna-2016-0339
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 non-local residual symmetry for the classical Korteweg-de Vries equation is derived by the truncated Painleve analysis. This symmetry is first localised to the Lie point symmetry by introducing the auxiliary dependent variables. By using Lie's first theorem, we then obtain the finite transformation for the localised residual symmetry. Based on the consistent tanh expansion method, some exact interaction solutions among different non-linear excitations are explicitly presented finally. Some special interaction solutions are investigated both in analytical and graphical ways at the same time.
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页码:217 / 222
页数:6
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