Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws

In the paper, we research a time fractional modified KdV-type equations.We give the symmetry reductions and exact solutions of the equations, and we investigate the convergence of the solutions. In addition, the conservation laws of the equations are constructed.

Bibliographic Details
Main Authors: He Fangqin, Li Lianzhong
Format: Article
Language:English
Published: De Gruyter 2019-10-01
Series:Open Physics
Subjects:
Online Access:https://doi.org/10.1515/phys-2019-0049
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author He Fangqin
Li Lianzhong
author_facet He Fangqin
Li Lianzhong
author_sort He Fangqin
collection DOAJ
description In the paper, we research a time fractional modified KdV-type equations.We give the symmetry reductions and exact solutions of the equations, and we investigate the convergence of the solutions. In addition, the conservation laws of the equations are constructed.
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spelling doaj.art-7c657f4f49cc4db2bc0951657f85824a2022-12-21T21:29:22ZengDe GruyterOpen Physics2391-54712019-10-0117148048810.1515/phys-2019-0049phys-2019-0049Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation lawsHe Fangqin0Li Lianzhong1School of Science, Jiangnan University, Wuxi, 214122, ChinaSchool of Science, Jiangnan University, Wuxi, 214122, ChinaIn the paper, we research a time fractional modified KdV-type equations.We give the symmetry reductions and exact solutions of the equations, and we investigate the convergence of the solutions. In addition, the conservation laws of the equations are constructed.https://doi.org/10.1515/phys-2019-0049time fractional differential equationslie symmetryexact solutionconservation laws02.30.jr02.20.-a02.30.ik04.20.jb
spellingShingle He Fangqin
Li Lianzhong
Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws
Open Physics
time fractional differential equations
lie symmetry
exact solution
conservation laws
02.30.jr
02.20.-a
02.30.ik
04.20.jb
title Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws
title_full Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws
title_fullStr Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws
title_full_unstemmed Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws
title_short Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws
title_sort time fractional modified kdv type equations lie symmetries exact solutions and conservation laws
topic time fractional differential equations
lie symmetry
exact solution
conservation laws
02.30.jr
02.20.-a
02.30.ik
04.20.jb
url https://doi.org/10.1515/phys-2019-0049
work_keys_str_mv AT hefangqin timefractionalmodifiedkdvtypeequationsliesymmetriesexactsolutionsandconservationlaws
AT lilianzhong timefractionalmodifiedkdvtypeequationsliesymmetriesexactsolutionsandconservationlaws