Exact solutions and excitations for the Davey-Stewartson equations with nonlinear and gain terms
arXiv:1006.0896 · doi:10.1140/epjd/e2010-00048-1
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 (13)
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Skyrmions from Instantons inside Domain Walls
- Faraday Patterns in low-dimensional Bose-Einstein Condensates
- Quantum signatures of breather-breather interactions
- Topological Gauge Theory Of General Weitzenbock Manifolds Of Dislocations In Crystals
- Unified Expressions Of All Integral Variational Principles
- Inverse scattering method and vector higher order nonlinear Schrodinger equation
- Inverse scattering approach to coupled higher order nonlinear Schrödinger equation and N-soliton solutions
- Faddeev-Senjanovic Quantization of SU(n) N=2 Supersymmetric Gauge Field System with Non-Abelian Chern-Simons Topological Term and Its Fractional Spin
- Solution Of Wheeler-De Witt Equation, Potential Well And Tunnel Effect
- Grain boundary dynamics in stripe phases of non potential systems
- Manifestation of superfluidity in an evolving Bose-condensed gas
- Instantons and radial excitations in attractive Bose-Einstein condensates