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On the Existence of Dark Solitons in a Cubic-Quintic Nonlinear Schrödinger Equation with a Periodic Potential

机译：立式非线性非线性Schrödinger方程存在黑暗孤子的存在性周期性潜力

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摘要

A proof of existence of stationary dark soliton solutions of thecubic-quintic nonlinear Schr"{o}dinger equation with a periodic potential isgiven. It is based on the interpretation of the dark soliton as a heteroclinicon the Poincar'e map.

机译：给出了具有周期电势的三次五次非线性Schr “ {o} dinger方程的平稳暗孤子解的存在性的证明。它基于将暗孤子解释为庞加莱图的杂诊所。

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作者
Pedro J. Torres; Vladimir V. Konotop;
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年度 2008
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原文格式 PDF
正文语种 {"code":"en","name":"english","id":9}
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专利

1. On the Existence of Dark Solitons in a Cubic-Quintic Nonlinear Schrödinger Equation with a Periodic Potential [J] . Pedro J. Torres, Vladimir V. Konotop Communications in Mathematical Physics . 2008,第1期

机译：具有周期势的三次三次非线性Schrödinger方程中暗孤子的存在
2. Dark Solitons for the Defocusing Cubic Nonlinear Schr(o)dinger Equation with the Spatially Periodic Potential and Nonlinearity [J] . YAN Zhen-Ya, YAN Fang-Chi 理论物理通讯（英文版） . 2015,第009期

机译：具有空间周期势和非线性的离焦三次非线性Schr（o）dinger方程的暗孤子
3. On the existence of dark solitons in a cubic-quintic nonlinear Schrodinger equation with a periodic potential [J] . Torres PJ, Konotop VV Communications in Mathematical Physics . 2008,第1期

机译：具有周期势的三次三次非线性薛定inger方程中暗孤子的存在
4. The Soliton Scattering of the Cubic-Quintic Nonlinear Schr?dinger Equation on the External Potentials [C] . Nor Amirah Busul Aklan, Bakhram Umarov National Symposium on Mathematical Sciences . 2015

机译：立方 - QUINTIC非线性SCHR的孤子散射？外部电位上的DINGER方程
5. Orbital Stability Results for Soliton Solutions to Nonlinear Schr?dinger Equations with External Potentials [D] . Lindgren, Joseph B. 2017

机译：Orbital稳定性结果对于非线性SCHR的孤子解决方案的轨道稳定性：具有外部潜力的Dinger方程
6. Modulational instability beak-shaped rogue waves multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations [O] . Guoqiang Zhang, Zhenya Yan, Xiao-Yong Wen -1

机译：成对跃迁耦合非线性Schrödinger方程的调制不稳定性喙状流氓波多暗-暗孤子和动力学
7. On existence of dark solitons in cubic-quintic nonlinear Schr"{o}dinger equation with a periodic potential [O] . Torres, Pedro J., Konotop, Vladimir V. 2006

机译：关于三次五次非线性schr \“{o} dinger中暗孤子的存在性具有周期性势的方程

On the Existence of Dark Solitons in a Cubic-Quintic Nonlinear Schrödinger Equation with a Periodic Potential

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