Title
A new Korteweg-de Vries equation-based sub-equation method and its application to the (2 + 1)-dimensional Korteweg-de Vries equation
Abstract
With the help of the symbolic computation system Maple, we present Korteweg-de Vries equation-based sub-equation method. Being concise and straightforward, it is applied to the (2 + 1)-dimensional Korteweg-de Vries equation. It is shown that N-soliton solution of the (2 + 1)-dimensional Korteweg-de Vries equation can be found by this new method. The method can be applied to other nonlinear partial differential equations in mathematical physics. © 2006.
Year
DOI
Venue
2007
10.1016/j.amc.2006.09.045
Applied Mathematics and Computation
Keywords
Field
DocType
(2 + 1)-dimensional Korteweg-de Vries equation,Korteweg-de Vries equation-based sub-equation method,N-soliton solution,Nonlinear partial differential equations
Soliton,Inverse scattering transform,Dispersionless equation,Kadomtsev–Petviashvili equation,Mathematical analysis,First-order partial differential equation,Initial value problem,Korteweg–de Vries equation,Partial differential equation,Mathematics
Journal
Volume
Issue
ISSN
187
2
null
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Lina Song183.16
Hongqing Zhang213848.35