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A difference scheme for the coupled KdV equation

Authors :
Shaohong Zhu
Source :
Communications in Nonlinear Science and Numerical Simulation. 4:60-63
Publication Year :
1999
Publisher :
Elsevier BV, 1999.

Abstract

In this paper, a difference scheme for the periodic initial-boundary problem of the coupled KdV Equation is given. The scheme keeps the first two conserved quantities which the differential equation possesses. The catch-ran iterative method is used to solve the difference equations. The numerical simulation exhibits the existence of two-soliton solutions.

Subjects

Subjects :
Matrix difference equation
FTCS scheme
Numerical Analysis
Partial differential equation
Differential equation
Applied Mathematics
Modeling and Simulation
Mathematical analysis
First-order partial differential equation
Riccati equation
Central differencing scheme
Korteweg–de Vries equation
Mathematics

Details

ISSN :
10075704
Volume :
4
Database :
OpenAIRE
Journal :
Communications in Nonlinear Science and Numerical Simulation
Accession number :
edsair.doi...........0a4764ee9f9b86d774517948b106f7e4

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