Paper Info
Title
Analytical and numerical solutions of the generalized dispersive Swift-Hohenberg equation.
Abstract
The generalization of the Swift-Hohenberg equation is studied. It is shown that the equation does not pass the Kovalevskaya test and does not possess the Painlevé property. Exact solutions of the generalized Swift-Hohenberg equation which are very useful to test numerical algorithms for various boundary value problems are obtained. The numerical algorithm which is based on the Crank-Nicolson-Adams-Bashforth scheme is developed. This algorithm is tested using the exact solutions. The selforganization processes described by the generalization of the Swift-Hohenberg equation are studied.
Year
DOI
Venue
2016
10.1016/j.amc.2016.04.024
Applied Mathematics and Computation
Keywords
Field
DocType
Swift–Hohenberg equation,Exact solution,Logistic function method,Painlevé property,Selforganization
Exact solutions in general relativity,Boundary value problem,Mathematical optimization,Mathematical analysis,Swift–Hohenberg equation,Mathematics
Journal
Volume
Issue
ISSN
286
C
0096-3003
Citations 
PageRank 
References 
1
0.36
4
Authors
2
Name
Order
Citations
PageRank
Nikolay A. Kudryashov14915.72
Pavel N. Ryabov2326.19