Tian, Qing and Wu, Lei and Zhang, J. F. and Malomed, B. A. and Mihalache, D. and Liu, W. M. (2011) Exact soliton solutions and their stability control in the nonlinear Schrodinger equation with spatiotemporally modulated nonlinearity. Physical Review E, 83 (1). ISSN 1539-3755Full text not available in this repository. (Request a copy from the Strathclyde author)
We put forward a generic transformation which helps to find exact soliton solutions of the nonlinear Schrödinger equation with a spatiotemporal modulation of the nonlinearity and external potentials. As an example, we construct exact solitons for the defocusing nonlinearity and harmonic potential. When the soliton’s eigenvalue is fixed, the number of exact solutions is determined by energy levels of the linear harmonic oscillator. In addition to the stable fundamental solitons, stable higher-order modes, describing array of dark solitons nested in a finite-width background, are constructed too. We also show how to control the instability domain of the nonstationary solitons.
|Keywords:||modes, soliton solutions, nonlinear Schrödinger equation , Physics, Statistical and Nonlinear Physics, Statistics and Probability, Condensed Matter Physics|
|Subjects:||Science > Physics|
|Department:||Faculty of Engineering > Mechanical and Aerospace Engineering|
|Depositing user:||Pure Administrator|
|Date Deposited:||17 Jul 2012 13:36|
|Last modified:||22 Mar 2017 12:12|