Eur. Phys. J. D 57, 395-401 (2010)
https://doi.org/10.1140/epjd/e2010-00048-1

Exact solutions and excitations for the Davey-Stewartson equations with nonlinear and gain terms

¹ Institute of Theoretical Physics, Beijing University of Technology, 100124, Beijing, P.R. China
² Kavli Institute for Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, P.R. China
³ CCAST (World Lab.), P. O. Box 8730, 100080, Beijing, P.R. China

Corresponding authors: r.jiewang@gmail.com ychuang@bjut.edu.cn

Received: 19 October 2009
Revised: 29 January 2010
Published online: 2 March 2010

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 Schrödinger equation to explain the Bose-Einstein condensation.