Lie Group Analysis of a Forced KdV Equation-Reference-Cited by-同舟云学术

Lie Group Analysis of a Forced KdV Equation

Published:2013 Issue: Volume:2013 Page:1-4
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Molati Motlatsi¹²,Khalique Chaudry Masood¹^ORCID

Affiliation:

1. Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa

2. Department of Mathematics and Computer Science, National University of Lesotho, P.O. Roma 180, Lesotho

Abstract

The Korteweg-de Vries (KdV) equation considered in this work contains a forcing term and is referred to as forced KdV equation in the sequel. This equation has been investigated recently as a mathematical model for waves on shallow water surfaces under the influence of external forcing. We employ the Lie group analysis approach to specify the time-dependent forcing term.

Funder

North-West University

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2013/845843.pdf

Reference11 articles.

1. XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves

2. Computing solutions to a forced KdV equation

3. A study on KdV and Gardner equations with time-dependent coefficients and forcing terms

4. On the second-order approximate symmetry classification and optimal systems of subalgebras for a forced Korteweg–de Vries equation

5. Some conservation laws for a forced KdV equation

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