Exact solutions of a variable coefficient KdV equation: Power law in time-coefficients

被引：1
作者：
Molati, Motlatsi [1 ]
机构：
[1] Natl Univ Lesotho, Dept Math & Comp Sci, PO Roma 180, Maseru, Lesotho
来源：
EXAMPLES AND COUNTEREXAMPLES | 2023年 / 4卷
关键词：
Exact solutions; Symmetry reductions; Time-dependent coefficients; KdV equation; Lie symmetry analysis;
D O I：
10.1016/j.exco.2023.100126
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Lie symmetry analysis of a power law in-time coefficients Korteweg-de Vries (KdV) equation is performed with the aim of specifying the model parameters (powers of t). That is, the symmetries of the resulting subclasses of the underlying equation are obtained. Further, symmetry reductions and some exact solutions are obtained.
引用
收藏
页数：4
相关论文
共 50 条
[31]   Effects of additive noise and variable coefficients on the exact solutions of the stochastic Kawahara equation [J].
Cai, Maojie ;
Li, Changzhao ;
Wang, Chuanjian ;
Shi, Jiamin .
PHYSICS LETTERS A, 2025, 554
[32]   Exact solutions for a compound KdV-Burgers equation [J].
Wang, ML .
PHYSICS LETTERS A, 1996, 213 (5-6) :279-287
[33]   Exact multi-wave solutions for the KdV equation [J].
Huang, Ying .
NONLINEAR DYNAMICS, 2014, 77 (03) :437-444
[34]   Exact multi-wave solutions for the KdV equation [J].
Ying Huang .
Nonlinear Dynamics, 2014, 77 :437-444
[35]   Exact solutions via equivalence transformations of variable-coefficient fifth-order KdV equations [J].
Bruzon, M. S. ;
de la Rosa, R. ;
Tracina, R. .
APPLIED MATHEMATICS AND COMPUTATION, 2018, 325 :239-245
[36]   Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients [J].
Gupta, R. K. ;
Kumar, Vikas ;
Jiwari, Ram .
NONLINEAR DYNAMICS, 2015, 79 (01) :455-464
[37]   Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients [J].
R. K. Gupta ;
Vikas Kumar ;
Ram Jiwari .
Nonlinear Dynamics, 2015, 79 :455-464
[38]   New Jacobi elliptic function-like solutions for the general KdV equation with variable coefficients [J].
Hong, Baojian ;
Lu, Dianchen .
MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) :1594-1600
[39]   Comment on: "Some exact solutions of KdV equation with variable coefficients" [Commun Nonlinear Sci Numer Simul 2011;16:1783-86] [J].
Magda, Olena .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (12) :5288-5290
[40]   Exact solutions of a time-fractional modified KdV equation via bifurcation analysis [J].
Liu, Min-Yuan ;
Xu, Hui ;
Wang, Zeng-Gui .
CHINESE PHYSICS B, 2023, 32 (12)
12345