Lie symmetry analysis, soliton and numerical solutions of boundary value problem for variable coefficients coupled KdV-Burgers equation
type: Item
instance of: scholarly article
title: Lie symmetry analysis, soliton and numerical solutions of boundary value problem for variable coefficients coupled KdV-Burgers equation
zbMATH Open document ID: 1393.37079
author: Vikas Kumar
author: Aisha M. Alqahtani
published in: Nonlinear Dynamics
publication date: 2018-08-22T00:00:00Z
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 6921900
zbMATH Keywords: coupled KdV-Burgers equation
zbMATH Keywords: Lie symmetry analysis
zbMATH Keywords: soliton solution
zbMATH Keywords: numerical solution
MaRDI profile type: Publication
full work available at URL: s11071-017-3851-0
OpenAlex ID: W2766916781
cites work: Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
cites work: One-Dimensional Flow of Liquids Containing Small Gas Bubbles
cites work: Shallow Water Waves on a Viscous Fluid—The Undular Bore
cites work: Q5786493
cites work: Nonexistence of prolongation structure for the Korteweg-de Vries-Burgers equation.
cites work: A non-linear equation incorporating damping and dispersion
cites work: The Korteweg-de Vries-Burgers equation
cites work: Study of the mesh method for the Bona-Smith and Burgers-Korteweg-de Vries equations
cites work: Q3802563
cites work: Travelling-wave solutions to the Korteweg-de Vries-Burgers equation
cites work: Q3150306
cites work: The proper analytical solution of the Korteweg-de Vries-Burgers equation
cites work: Q3994822
cites work: Lie symmetry reductions and exact solutions of a coupled KdV-Burgers equation
cites work: Q3945260
cites work: Symmetries and differential equations
cites work: Q4273954
cites work: Kawahara equation and modified Kawahara equation with time dependent coefficients: symmetry analysis and generalized ‐expansion method
cites work: Symmetry reduction, exact group-invariant solutions and conservation laws of the Benjamin-Bona-Mahoney equation
cites work: Painlevé Analysis, Lie Symmetries and Exact Solutions for Variable Coefficients Benjamin—Bona—Mahony—Burger (BBMB) Equation
cites work: Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients
cites work: Exact solutions for nonlinear evolution equations using novel test function
cites work: On invariant analysis of some time fractional nonlinear systems of partial differential equations. I
cites work: Parameter uniform numerical method for singularly perturbed differential–difference equations with interior layers
cites work: Numerical analysis of singularly perturbed delay differential turning point problem
DOI: 10.1007/S11071-017-3851-0
description: scientific article; zbMATH DE number 6921900