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Orbital Stability Results for Soliton Solutions to Nonlinear Schr?dinger Equations with External Potentials

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

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作者
Lindgren, Joseph B.;
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作者单位

University of Kentucky.;

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授予单位 University of Kentucky.;
学科
学位 Ph.D.
年度 2017
页码 101 p.
总页数 101
原文格式 PDF
正文语种 eng
中图分类 AAI10628846;
关键词
Lyapunov; Nls; Nonlinear; Orbital stability; Schroedinger; Traveling waves;

机译：Lyapunov;nls;非线性;轨道稳定;施罗德格;旅行波浪;

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1. Periodic soliton solutions of the nonlinear Schr?dinger equation with variable nonlinearity and external parabolic potential [J] . Zhong W.-P., Beli? M.R., Huang T. Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2013,第16期

机译：非线性和外部抛物线型非线性薛定？方程的周期孤子解
2. Spatial Solitons in Nonlinear Schr?dinger Equation with Variable Nonlinearity and Quadratic External Potential [J] . Y. Xia W.-P. Zhong M. Beli? Acta physica Polonica, B. Particle Physics and Field Theory, Nuclear Physics, Theory of Relativity . 2011,第8期

机译：非线性和二次外部势的非线性薛定ding方程中的空间孤子
3. Spatial solitons and stability in the one-dimensional and the two-dimensional generalized nonlinear Schr?dinger equation with fourth-order diffraction and parity-time-symmetric potentials [J] . C. G. L. Tiofack, F. II Ndzana, A. Mohamadou, Physical review, E . 2018,第3aPta1期

机译：具有四阶衍射和奇偶校验 - 时对称电位的一维和二维广义非线性SCHR的空间孤子和稳定性
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. Inverse Scattering Transform and Solitons for Matrix Nonlinear Schr?dinger Systems and for the Defocusing Ablowitz-Ladik Equation with Nonzero Boundary Conditions [D] . Ortiz, Alyssa Kayelin. 2019

机译：逆散射变换和矩阵非线性SCHR？Dinger系统以及与非零边界条件的Defocusing Ablowitz-Ladik方程
6. Higher Dimensional Gaussian-Type Solitons of Nonlinear Schrödinger Equation with Cubic and Power-Law Nonlinearities in PT-Symmetric Potentials [O] . Yi-Xiang Chen, Fang-Qian Xu -1

机译：PT对称势中具有三次和幂律非线性的非线性Schrödinger方程的高维高斯型孤子
7. Asymptotic stability of small solitons for 2D nonlinear Schrödinger equations with potential [O] . Tetsu Mizumachi 2012

机译：带电势的二维非线性Schrödinger方程的小孤子的渐近稳定性

Orbital Stability Results for Soliton Solutions to Nonlinear Schr?dinger Equations with External Potentials

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