SYMMETRY ANALYSIS AND CONSERVATION LAWS OF THE TIME FRACTIONAL KAUP-KUPERSHMIDT EQUATION FROM CAPILLARY GRAVITY WAVES

被引：2
|
作者：
Zhao, Zhonglong [1 ,2 ]
Han, Bo [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
来源：
MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2018年 / 13卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Time fractional Kaup-Kupershmidt equation; Lie symmetry; similarity reduction; conservation laws; INVARIANT ANALYSIS; NONLINEAR-SYSTEMS; SOLITON-SOLUTIONS;
D O I：
10.1051/mmnp/2018025
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The Lie symmetry analysis is employed to study the time fractional Kaup-Kupershmidt equation from capillary gravity waves. The Lie point symmetries and the similarity reduction of this equation are obtained. Then we construct the conservation laws by means of Ibragimov's method.
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页数：9
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