Paper Info
Title
New exact solutions for the Konopelchenko-Dubrovsky equation using an extended Riccati equation rational expansion method and symbolic computation
Abstract
In this paper, based on computerized symbolic computation and a new general ansatz, an extended Riccati equation rational expansion method is presented to construct multiple exact solutions for nonlinear evolution equations and implemented in a computer algebraic system. The validity and reliability of the method are tested by its application to the Konopelchenko-Dubrovsky equation. The method can be applied to other nonlinear evolution equations in mathematical physics.
Year
DOI
Venue
2007
10.1016/j.amc.2006.09.046
Applied Mathematics and Computation
Keywords
Field
DocType
symbolic computation,nonlinear evolution equation,new general ansatz,extended riccati equation rational expansion method,mathematical physic,nonlinear evolution equations,multiple exact solution,rational expansion method,computer algebraic system,computerized symbolic computation,exact solutions,konopelchenko–dubrovsky equation,new exact solution,extended riccati equation,konopelchenko-dubrovsky equation,riccati equation,exact solution
Ansatz,Mathematical optimization,Nonlinear system,Algebraic number,Mathematical analysis,Symbolic computation,Algebraic Riccati equation,Riccati equation,Partial differential equation,Independent equation,Mathematics
Journal
Volume
Issue
ISSN
187
2
Applied Mathematics and Computation
Citations 
PageRank 
References 
3
0.80
2
Authors
2
Name
Order
Citations
PageRank
Lina Song183.16
Hongqing Zhang213848.35