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
收藏
页数：9
相关论文
共 50 条
  • [41] Lie symmetry analysis, conservation laws and exact solutions of the generalized time fractional Burgers equation
    Wang, Xiu-Bin
    Tian, Shou-Fu
    Qin, Chun-Yan
    Zhang, Tian-Tian
    EPL, 2016, 114 (02)
  • [42] Self-Consistent Sources and Conservation Laws for a Super Broer-Kaup-Kupershmidt Equation Hierarchy
    Wei, Hanyu
    Xia, Tiecheng
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [43] Fractional residual series for conformable time-fractional Sawada-Kotera-Ito, Lax, and Kaup-Kupershmidt equations of seventh order
    Al-Smadi, Mohammed
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021,
  • [44] New exact solutions for time-fractional Kaup-Kupershmidt equation using improved (G′/G)-expansion and extended (G′/G)-expansion methods
    Sahoo, S.
    Ray, S. Saha
    Abdou, M. A.
    ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (05) : 3105 - 3110
  • [45] Exact Solutions, Lie Symmetry Analysis and Conservation Laws of the Time Fractional Diffusion-Absorption Equation
    Hashemi, Mir Sajjad
    Balmeh, Zahra
    Baleanu, Dumitru
    MATHEMATICAL METHODS IN ENGINEERING: THEORETICAL ASPECTS, 2019, 23 : 97 - 109
  • [46] Lie symmetry analysis, conservation laws and explicit solutions for the time fractional Rosenau-Haynam equation
    Qin, Chun-Yan
    Tian, Shou-Fu
    Wang, Xiu-Bin
    Zhang, Tian-Tian
    WAVES IN RANDOM AND COMPLEX MEDIA, 2017, 27 (02) : 308 - 324
  • [47] On the generalized time fractional diffusion equation: Symmetry analysis, conservation laws, optimal system and exact solutions
    Liu, Jian-Gen
    Yang, Xiao-Jun
    Feng, Yi-Ying
    Zhang, Hong-Yi
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (01)
  • [48] Time Fractional Third-Order Evolution Equation: Symmetry Analysis, Explicit Solutions, and Conservation Laws
    Baleanu, Dumitru
    Inc, Mustafa
    Yusuf, Abdullahi
    Aliyu, Aliyu Isa
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2018, 13 (02):
  • [49] SYMMETRY ANALYSIS, CONSERVATION LAWS OF A TIME FRACTIONAL FIFTH-ORDER SAWADA-KOTERA EQUATION
    Xiao, Zheng
    Wei, Long
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (04): : 1275 - 1284
  • [50] Lie symmetry analysis, conservation laws and some exact solutions of the time-fractional Buckmaster equation
    Yourdkhany, Mahdieh
    Nadjafikhah, Mehdi
    Toomanian, Megerdich
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (03)
12345