ELECTRO-MAGNETO-STATIC STUDY OF THE NONLINEAR SCHROEDINGER EQUATION COUPLED WITH BOPP-PODOLSKY ELECTRODYNAMICS IN THE PROCA SETTING

Hebey Emmanuel

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ELECTRO-MAGNETO-STATIC STUDY OF THE NONLINEAR SCHROEDINGER EQUATION COUPLED WITH BOPP-PODOLSKY ELECTRODYNAMICS IN THE PROCA SETTING

机译：在PROCA设置中耦合Bopp-Podolsky电动力学的非线性Schroedinger方程的电磁静力研究

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摘要

We investigate the system consisting of the the nonlinear Schrodinger equation coupled with Bopp-Podolsky electrodynamics in the Proca setting in the context of closed 3-dimensional manifolds. We prove existence of solutions up to the gauge, and compactness of the system both in the subcritical and in the critical case.

机译：我们研究了在封闭的3维歧管的情况下，在Proca环境中非线性Schrodinger方程与Bopp-Podolsky电动力学耦合的系统。我们证明了解决方案的存在以及在次临界和临界情况下系统的紧凑性。

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《Discrete and continuous dynamical systems》 |2019年第11期|6683-6712|共30页
作者
Hebey Emmanuel;
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作者单位

Univ Cergy Pontoise Dept Math Site St Martin 2 Ave Adolphe Chauvin F-95302 Cergy Pontoise France;

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原文格式 PDF
正文语种 eng
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关键词
Schrodinger equation; Bopp-Podolski electrodynamics; Proca setting; stability theory; fourth order systems of equations;

机译：薛定inger方程;Bopp-Podolski电动力学;Proca设置;稳定性理论四阶方程组;

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专利

1. Nonlinear Schrodinger equation in the Bopp-Podolsky electrodynamics: Solutions in the electrostatic case [J] . DAvenia Pietro, Siciliano Gaetano Journal of Differential Equations . 2019,第2期

机译：BOPP-PODOLSKY电动力学中的非线性Schrodinger方程：静电情况下的解决方案
2. ANGULAR VECTOR SOLITONS OF THE COUPLED NONLINEAR SCHROEDINGER EQUATIONS WITH SPATIALLY MODULATED NONLINEARITIES [J] . RUO-YUN CAO, WEI-PING ZHONG, DUMITRU MIHALACHE Romanian reports in physics . 2015,第2期

机译：具有空间调制非线性的耦合非线性Schroedinger方程的角矢量孤子
3. Angular vector solitons of the coupled nonlinear Schroedinger equations with spatially modulated nonlinearities [J] . RUO-YUN CAO, WEI-PING ZHONG, DUMITRU MIHALACHE Romanian reports in physics . 2015,第2期

机译：具有空间调制非线性的耦合非线性Schroedinger方程的角矢量孤子
4. Darboux Transformation and Explicit Solutions of a Couple Lattice Equation including the Discrete Nonlinear Schroedinger Equation [C] . Wen Xiaoyong IEA 2011;International conference on information engineering and applications . 2011

机译：包含离散非线性Schroedinger方程的耦合格子方程的Darboux变换和显式解
5. Coupled nonlinear Schroedinger equations. [D] . Yeary, Barton Kevin. 1997

机译：耦合的非线性Schroedinger方程。
6. Study of coupled nonlinear partial differential equations for finding exact analytical solutions [O] . Kamruzzaman Khan, M. Ali Akbar, H. Koppelaar 2015

机译：研究耦合非线性偏微分方程以寻找精确的解析解
7. Coupled nonlinear Schroedinger field equations for electromagnetic wave propagation in nonlinear left-handed materials [O] . Lazarides, N., Tsironis, G. P. 2005

机译：电磁波耦合非线性schroedinger场方程在非线性左手材料中的传播
8. Soliton Solutions to Coupled Higher-Order Nonlinear Schroedinger Equations [R] . Tasgal, R. S., Potasek, M. J. 1992

机译：耦合高阶非线性schroedinger方程的孤子解

ELECTRO-MAGNETO-STATIC STUDY OF THE NONLINEAR SCHROEDINGER EQUATION COUPLED WITH BOPP-PODOLSKY ELECTRODYNAMICS IN THE PROCA SETTING

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