可积非自治非线性薛定谔方程
可精确求解与可积系统
2007-05-23 v2
作者:
Metin Gurses
摘要
我们证明，最近给出的一个非自治非线性薛定谔方程(NLSE)可以变换为自治的NLSE。
引用
@article{arxiv.0704.2435,
title = {Integrable Nonautonomous Nonlinear Schrodinger Equations},
author = {Metin Gurses},
journal= {arXiv preprint arXiv:0704.2435},
year = {2007}
}
评论
4 pages
相关论文
查看更多相关论文 →
数学物理 · 物理学
On Integrability of Nonautonomous Nonlinear Schroedinger Equations
Sergei K. Suslov
2011-04-19
可精确求解与可积系统 · 物理学
Constructing Solvable Models of Vector Non-linear Schrodinger Equation with Balanced Loss and Gain via Non-unitary transformation
Pijush K Ghosh
2021-04-19
数学物理 · 物理学
The Nonlinear Schroedinger Equation with a random potential: Results and Puzzles
Shmuel Fishman, Yevgeny Krivolapov, Avy Soffer
2013-08-30
可精确求解与可积系统 · 物理学
On Symmetries and Exact Solutions of a Class of Non-local Non-linear Schrodinger Equations with Self-induced PT-symmetric Potential
Debdeep Sinha, Pijush K. Ghosh
2015-05-20
斑图形成与孤子 · 物理学
Transformation from the nonautonomous to standard NLS equations
Dun Zhao, Xu-Gang He, Hong-Gang Luo
2010-10-20
数学物理 · 物理学
An introduction to the two-dimensional Schr\"odinger equation with nonlinear point interactions
R Carlone, M Correggi, L Tentarelli
2022-07-08
可精确求解与可积系统 · 物理学
Integrable nonlocal vector nonlinear Schr\"odinger equation with self-induced parity-time-symmetric Potential
Debdeep Sinha, Pijush K. Ghosh
2017-07-12
量子气体 · 物理学
Conformal duality of the nonlinear Schr\"odinger equation: Theory and applications to parameter estimation
David B. Reinhardt, Dean Lee, Wolfgang P. Schleich, Matthias Meister
2024-07-08
可精确求解与可积系统 · 物理学
Integrable Local and Non-local Vector Non-linear Schrodinger Equation with Balanced loss and Gain
Debdeep Sinha
2022-09-29
可精确求解与可积系统 · 物理学
Integrable nonlocal nonlinear equations
Mark J. Ablowitz, Ziad H. Musslimani
2016-10-11
可精确求解与可积系统 · 物理学
A new integrable discrete generalized nonlinear Schrodinger equation and its reductions
Hongmin Li, Yuqi Li, Yong Chen
2015-06-18
斑图形成与孤子 · 物理学
Nonintegrable Spatial Discrete Nonlocal Nonlinear Schr\"odinger Equation
Jia-Liang Ji, Zong-Wei Xu, Zuo-Nong Zhu
2019-08-14
软凝聚态物质 · 物理学
Nonlinear Schroedinger Equations within the Nelson Quantization Picture
G. Kaniadakis, A. M. Scarfone
2009-11-10
量子物理 · 物理学
Exact solutions of the inhomogeneous nonlinear Schr\"odinger equation through supersymmetric potentials
David J. Fernández C., O. Pavón-Torres
2025-11-25
可精确求解与可积系统 · 物理学
Integrable inhomogeneous NLS equations are equivalent to the standard NLS
Anjan Kundu
2015-05-13
斑图形成与孤子 · 物理学
Transformations between nonlocal and local integrable equations
Bo Yang, Jianke Yang
2017-05-02
斑图形成与孤子 · 物理学
Localized exact solutions of $\mathcal{PT}$ symmetric nonlinear Schr\"odinger equation with space and time modulated nonlinearities
L. E. Arroyo Meza, M. B. Hott, A. de Souza Dutra, P. Roy
2013-07-30
量子物理 · 物理学
A study of PT-symmetric Non-linear Schroedinger Equation
K. Nireekshan Reddy, Subhrajit Modak, Kumar Abhinav, Prasanta K. Panigrahi
2015-05-21
可精确求解与可积系统 · 物理学
Novel integrable higher-dimensional nonlinear Schroedinger equation: properties, solutions, applications
Anjan Kundu, Abhik Mukherjee
2013-05-20
斑图形成与孤子 · 物理学
Modulation of localized solutions for the Schr\"odinger equation with logarithm nonlinearity
L. Calaça, A. T. Avelar, D. Bazeia, W. B. Cardoso
2014-04-29
数学物理 · 物理学
Multiscale expansion on the lattice and integrability of partial difference equations
Rafael Hernandez Heredero, Decio Levi, Matteo Petrera, Christian Scimiterna
2008-01-24
可精确求解与可积系统 · 物理学
A new integrable system of symmetrically coupled derivative nonlinear Schroedinger equations via the singularity analysis
S. Yu. Sakovich, Takayuki Tsuchida
2007-05-23
偏微分方程分析 · 数学
A pseudoconformal compactification of the nonlinear Schr\"odinger equation and applications
Terence Tao
2009-06-13
可精确求解与可积系统 · 物理学
Designable integrability of the variable coefficient nonlinear Schr\"odinger equation
Jingsong He, Yishen Li
2010-08-17
高能物理 - 理论 · 物理学
Nonlinear Schrodinger Equations and N=1 Superconformal Algebra
H. T. Ozer, S. Salihoglu
2008-11-26