Matter wave soliton solutions of the cubic–quintic nonlinear Schrödinger equation with an anharmonic potential

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Title: Matter wave soliton solutions of the cubic–quintic nonlinear Schrödinger equation with an anharmonic potential
Authors: Liu, Yifang1 liuyifang08@yahoo.com.cn, Li, Guo-Rong2
Source: Applied Mathematics & Computation. Jan2013, Vol. 219 Issue 9, p4847-4852. 6p.
Subjects: Solitons, Nonlinear equations, Schrödinger equation, Waves (Physics), Harmonic analysis (Mathematics), Numerical analysis, Nonlinear theories
Abstract: Abstract: In this paper, the cubic–quintic nonlinear Schrödinger equation with an anharmonic potential is studied both analytically and numerically. As a result, two families of matter wave soliton solutions are obtained and their stability is analyzed by linear stability analysis and dynamical evolutions. It is shown that the spatially inhomogeneous cubic–quintic nonlinearities and the anharmonic potential can support stable matter wave solitons. [Copyright &y& Elsevier]
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Database: Engineering Source
Description
Abstract:Abstract: In this paper, the cubic–quintic nonlinear Schrödinger equation with an anharmonic potential is studied both analytically and numerically. As a result, two families of matter wave soliton solutions are obtained and their stability is analyzed by linear stability analysis and dynamical evolutions. It is shown that the spatially inhomogeneous cubic–quintic nonlinearities and the anharmonic potential can support stable matter wave solitons. [Copyright &y& Elsevier]
ISSN:00963003
DOI:10.1016/j.amc.2012.10.110