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.

引用

页数：9

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