Title
Symmetry reductions and explicit solutions of a (3+1)-dimensional PDE
Abstract
The symmetry of the (3+1)-dimensional partial differential equation has been derived via a direct symmetry method and proved to be infinite dimensional non-Virasoro type symmetry algebra. Many kinds of symmetry reductions have been obtained, including the (2+1)-dimensional ANNV equation and breaking soliton equation. And some new soliton solutions and complex solutions are obtained due to the Riccati equation method and symbolic computation.
Year
DOI
Venue
2009
10.1016/j.amc.2009.01.059
Applied Mathematics and Computation
Keywords
Field
DocType
jimbo-miwa equation,lie algebra,soliton solution,symmetry reduction,1 dimensional,partial differential equation,symbolic computation,riccati equation
Soliton,Boundary value problem,Explicit symmetry breaking,Mathematical analysis,Separable partial differential equation,Symbolic computation,Riccati equation,Initial value problem,Partial differential equation,Mathematics
Journal
Volume
Issue
ISSN
211
2
Applied Mathematics and Computation
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Jianqin Mei151.94
Hongqing Zhang213848.35