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

  • Nonlinear Dynamics
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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.

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Authors and Affiliations

  1. Institute of Theoretical Physics, Beijing University of Technology, 100124, Beijing, P.R. China

    Ren-Jie Wang & Yong-Chang Huang

  2. Kavli Institute for Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, P.R. China

    Yong-Chang Huang

  3. CCAST (World Lab.), P. O. Box 8730, 100080, Beijing, P.R. China

    Yong-Chang Huang

Authors
  1. Ren-Jie Wang
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  2. Yong-Chang Huang
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Correspondence to Ren-Jie Wang.

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Wang, RJ., Huang, YC. Exact solutions and excitations for the Davey-Stewartson equations with nonlinear and gain terms. Eur. Phys. J. D 57, 395–401 (2010). https://doi.org/10.1140/epjd/e2010-00048-1

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  • DOI: https://doi.org/10.1140/epjd/e2010-00048-1

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