Title
On Weierstrass elliptic function solutions for a (N+1) dimensional potential KdV equation
Abstract
This paper is concerned with several aspects of travelling wave solutions for a (N+1) dimensional potential KdV equation. The Weierstrass elliptic function solutions, the Jaccobi elliptic function solutions, solitary wave solutions, periodic wave solutions to the equation are acquired under certain circumstances. It is shown that the coefficients of derivative terms in the equation cause the qualitative changes of physical structures of the solutions.
Year
DOI
Venue
2011
10.1016/j.amc.2011.03.007
Applied Mathematics and Computation
Keywords
Field
DocType
Potential KdV equation,The Weierstrass elliptic function solutions,Solitary wave solutions,Periodic solution
Elliptic function,Weierstrass functions,Mathematical physics,Mathematical analysis,Wave equation,Cnoidal wave,Lemniscatic elliptic function,Korteweg–de Vries equation,Periodic graph (geometry),Mathematics,One-dimensional space
Journal
Volume
Issue
ISSN
217
20
0096-3003
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
Yunxi Guo101.01
Ying Wang22417.22