Exact solutions and excitations for the Davey-Stewartson equations with nonlinear and gain terms
Mathematical Physics
2010-06-07 v1 math.MP
Atomic and Molecular Clusters
Fluid Dynamics
Plasma Physics
Abstract
We study the general (2+1)-dimensional Davey-Stewartson (DS) equations with nonlinear and gain terms and acquire explicit solutions through variable separation approach. In particular, we deduce some main novel excitations for the DS equations, and further demonstrate different features of these excitations. More importantly, the similar solutions and excitations can be predicted to exist in other related revolution equations such as nonlinear Schr\"odinger equation to explain the Bose-Einstein condensation.
Keywords
Cite
@article{arxiv.1006.0896,
title = {Exact solutions and excitations for the Davey-Stewartson equations with nonlinear and gain terms},
author = {Ren-Jie Wang and Yong-Chang Huang},
journal= {arXiv preprint arXiv:1006.0896},
year = {2010}
}
Comments
11 pages, 5 figures