On explicit exact solutions of variable-coefficient time-fractional generalized fifth-order Korteweg-de Vries equation

被引：6

作者：

Gupta, Rajesh Kumar ^{[1
,2
]}

Kaur, Jaskiran ^{[2
]}

机构：

[1] Cent Univ Haryana, Sch Phys & Math Sci, Dept Math, Mahendergarh 123031, Haryana, India

[2] Cent Univ Punjab, Dept Math & Stat, Sch Basic & Appl Sci, Bathinda 151001, Punjab, India

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2019年 / 134卷 / 06期

关键词：

CONSERVATION-LAWS; SYMMETRY ANALYSIS;

D O I：

10.1140/epjp/i2019-12670-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

.We investigate the variable-coefficient time-fractional generalized fifth-order Korteweg-de Vries equation for admissible forms of the variable coefficients under the condition of invariance, and derive certain explicit exact solutions for the reduced ordinary differential equations of fractional order.

引用

页数：9

共 37 条

[11] Exact solutions via equivalence transformations of variable-coefficient fifth-order KdV equations
Bruzon, M. S.
de la Rosa, R.
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APPLIED MATHEMATICS AND COMPUTATION, 2018, 325 : 239 - 245
[12] Convergence of the Solutions on the Generalized Korteweg-de Vries Equation
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di Ruvo, Lorenzo
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[13] Symmetry Analysis and PT-Symmetric Extension of the Fifth-Order Korteweg-de Vries-Like Equation
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[14] Classical symmetry analysis and exact solutions for generalized Korteweg-de Vries models with variable coefficients
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[15] Symbolic computation of conservation laws and exact solutions of a coupled variable-coefficient modified Korteweg–de Vries system
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[16] ON THE EXISTENCE OF INFINITE CONSERVATION LAWS OF A VARIABLE-COEFFICIENT KORTEWEG-DE VRIES MODEL WITH SYMBOLIC COMPUTATION
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[17] Lie Symmetry Analysis and Explicit Solutions of the Time Fractional Fifth-Order KdV Equation
Wang, Gang Wei
Xu, Tian Zhou
Feng, Tao
PLOS ONE, 2014, 9 (02):
[18] Painleve integrability of a generalized fifth-order KdV equation with variable coefficients: Exact solutions and their interactions
Xu Gui-Qiong
CHINESE PHYSICS B, 2013, 22 (05)
[19] Time-fractional generalized fifth-order KdV equation: Lie symmetry analysis and conservation laws
Wang, Zhenli
Sun, Liangji
Hua, Rui
Su, Lingde
Zhang, Lihua
FRONTIERS IN PHYSICS, 2023, 11
[20] Exact Group Invariant Solutions and Conservation Laws of the Complex Modified Korteweg-de Vries Equation
Johnpillai, Andrew G.
Kara, Abdul H.
Biswas, Anjan
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2013, 68 (8-9): : 510 - 514

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