The Nonlinear Schr\"odinger Equation and Conservation Laws
Analysis of PDEs
2016-09-02 v4
Authors:
Elias Rios
Abstract
We analize the Nonlinear Schr\"odinger Equation.
Keywords
Cite
@article{arxiv.1307.5957,
title = {The Nonlinear Schr\"odinger Equation and Conservation Laws},
author = {Elias Rios},
journal= {arXiv preprint arXiv:1307.5957},
year = {2016}
}
Comments
This paper has been withdrawn by the author due to a crucial error in equation (5)
Related papers
View all related →
Exactly Solvable and Integrable Systems · Physics
The method of solving of nonlinear Schr\"odinger equation
Dmitry Levko
2007-05-23
solv-int · Physics
Conservation Laws in Higher-Order Nonlinear Optical Effects
Jongbae Kim, Q-Han Park, H. J. Shin
2009-10-31
Mathematical Physics · Physics
Invariance and conservation laws of some nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity
B Alqurashi, A H Kara
2018-02-06
Analysis of PDEs · Mathematics
The derivation of the conservation law for defocusing nonlinear Schroedinger equations with non-vanishing initial data at infinity
Hayato Miyazaki
2018-10-23
Analysis of PDEs · Mathematics
On some nonlinear Schr\"odinger equations in $\bbr^N$
Juncheng Wei, Yuanze Wu
2021-12-10
Quantum Physics · Physics
A FAMILY OF NONLINEAR SCHR\"ODINGER EQUATIONS: LINEARIZING TRANSFORMATIONS AND RESULTING STRUCTURE
H. -D. Doebner, G. A. Goldin, P. Nattermann
2016-09-08
High Energy Physics - Theory · Physics
The Canonical Symmetry and Hamiltonian Formalism. I. Conservation Laws
A. N. Leznov, A. V. Razumov
2007-05-23
Analysis of PDEs · Mathematics
The derivation of conservation laws for nonlinear Schroedinger equations with a power type nonlinearity
Kazumasa Fujiwara, Hayato Miyazaki
2014-07-22
Analysis of PDEs · Mathematics
Periodic nonlinear Schr\"odinger equation with application to photonic crystals
A. Pankov
2007-05-23
Analysis of PDEs · Mathematics
Recent advances on Schr\"odinger equations with dissipative nonlinearities
Chunhua Li, Yoshinori Nishii, Yuji Sagawa, Hideaki Sunagawa
2023-04-03
Analysis of PDEs · Mathematics
Lifespan of strong solutions to the periodic derivative nonlinear Schr\"odinger equation
Kazumasa Fujiwara, Tohru Ozawa
2018-06-06
Quantum Physics · Physics
Nonlinear Schrodinger equation with chaotic, random, and nonperiodic nonlinearity
W. B. Cardoso, S. A. Leao, A. T. Avelar, D. Bazeia +1
2015-05-14
Mathematical Physics · Physics
On the Integrability of the Discrete Nonlinear Schroedinger Equation
Decio Levi, Matteo Petrera, Christian Scimiterna
2009-11-13
Mathematical Physics · Physics
Nonlinear self-adjointness in constructing conservation laws
Nail H. Ibragimov
2011-09-09
Mathematical Physics · Physics
Higher conservation laws for the quantum non-linear Schroedinger equation
B. Davies, V. E. Korepin
2011-09-30
Quantum Physics · Physics
Exactly solvable models of nonlinear extensions of the Schr\"odinger equation
Tom Dodge, Peter Schweitzer
2023-04-04
Exactly Solvable and Integrable Systems · Physics
Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schr\"{o}dinger equation with time-dependent nonlinearity
Shou-Fu Tian, Li Zou, Qi Ding, Hong-Qing Zhang
2012-01-06
Analysis of PDEs · Mathematics
Nontrivial solutions for periodic Schr\"odinger equations with sign-changing nonlinearities
Shaowei Chen, Conglei Wang, Liqin Xiao
2014-06-19
Pattern Formation and Solitons · Physics
The Discrete Nonlinear Schr\"odinger equation - 20 Years on
J. Chris Eilbeck, Magnus Johansson
2007-05-23
Analysis of PDEs · Mathematics
The nonlinear Schr\"odinger equations with combined nonlinearities of power-type and Hartree
Daoyuan Fang, Zheng Han
2008-08-13
Analysis of PDEs · Mathematics
$H^s$ Bounds for the Derivative Nonlinear Schr\"odinger Equation
Hajer Bahouri, Trevor M. Leslie, Galina Perelman
2022-07-20
Analysis of PDEs · Mathematics
The higher order nonlinear Schr\"{o}dinger equation with quadratic nonlinearity on the real axis
Andrei V. Faminskii
2022-03-29
Mathematical Physics · Physics
Quasi-linear dynamics in nonlinear Schr\" odinger equation with periodic boundary conditions
M. Burak Erdogan, Vadim Zharnitsky
2008-02-15
Analysis of PDEs · Mathematics
Almost conservation laws and global rough solutions to a Nonlinear Schr\"odinger equation
J. Colliander, M. Keel, G. Staffilani, H. Takaoka +1
2007-05-23
Analysis of PDEs · Mathematics
On nonlinear Schr\"odinger equations with random potentials: existence and probabilistic properties
Leandro Cioletti, Lucas C. F. Ferreira, Marcelo Furtado
2013-04-10