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

页数：4

共 50 条

[41] Truncated expansion method and new exact soliton-like solution of the general variable coefficient KdV equation [J].

Zhang, JF ;

Chen, FY .

ACTA PHYSICA SINICA, 2001, 50 (09) :1648-1650

[42] New exact solutions for the generalized variable-coefficient Gardner equation with forcing term [J].

Hong, Baojian ;

Lu, Dianchen .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (05) :2732-2738

[43] Lie Symmetries and Exact Solutions of KdV–Burgers Equation with Dissipation in Dusty Plasma [J].

Dig Vijay Tanwar ;

Abdul-Majid Wazwaz .

Qualitative Theory of Dynamical Systems, 2022, 21

[44] Exact Solutions of the Generalized Richards Equation with Power-Law Nonlinearities [J].

Kosov, A. A. ;

Semenov, E. I. .

DIFFERENTIAL EQUATIONS, 2020, 56 (09) :1119-1129

[45] New exact kink solutions, solitons and periodic form solutions for a combined KdV and Schwarzian KdV equation [J].

Li, Zitian .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (08) :2886-2890

[46] Group classification, symmetry reductions and exact solutions of the time-fractional generalized thin film equation with variable coefficients [J].

Qiongya Gu ;

Lizhen Wang .

Computational and Applied Mathematics, 2023, 42

[47] Group classification, symmetry reductions and exact solutions of the time-fractional generalized thin film equation with variable coefficients [J].

Gu, Qiongya ;

Wang, Lizhen .

COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (06)

[48] Adomian decomposition method and exact solutions of the perturbed KdV equation [J].

Wu, B ;

Lou, SY .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2002, 38 (06) :649-652

[49] Exact solutions to the fractional complex Ginzburg-Landau equation with time-dependent coefficients under quadratic-cubic and power law nonlinearities [J].

Wang, Lingyu ;

Gao, Ben .

NONLINEAR DYNAMICS, 2023, 111 (05) :4709-4722

[50] Lie symmetry analysis, soliton and numerical solutions of boundary value problem for variable coefficients coupled KdV-Burgers equation [J].

Kumar, Vikas ;

Alqahtani, Aisha .

NONLINEAR DYNAMICS, 2017, 90 (04) :2903-2915

← 1 2 3 4 5 →