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

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.

11 pages, 5 figures

References in corpus (4)

• Skyrmions from Instantons inside Domain Walls
• Quantum signatures of breather-breather interactions
• Faddeev-Senjanovic Quantization of SU(n) N=2 Supersymmetric Gauge Field System with Non-Abelian Chern-Simons Topological Term and Its Fractional Spin
• Grain boundary dynamics in stripe phases of non potential systems