Explicit mathematical construction of relativistic nonlinear de Broglie waves described by three-dimensional (wave and electromagnetic) solitons “piloted” (controlled) by corresponding solutions of associated linear Klein-Gordon and Schrödinger equations

Jean-Pierre Vigier

doi:10.1007/bf01889529

Explicit mathematical construction of relativistic nonlinear de Broglie waves described by three-dimensional (wave and electromagnetic) solitons “piloted” (controlled) by corresponding solutions of associated linear Klein-Gordon and Schrödinger equations

Foundations of Physics ◽

10.1007/bf01889529 ◽

1991 ◽

Vol 21 (2) ◽

pp. 125-148 ◽

Cited By ~ 41

Author(s):

Jean-Pierre Vigier

Keyword(s):

Three Dimensional ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

De Broglie Waves ◽

Klein Gordon ◽

Electromagnetic Solitons ◽

Mathematical Construction ◽

Dimensional Wave

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An improved meshless method for solving two- and three-dimensional coupled Klein–Gordon–Schrödinger equations on scattered data of general-shaped domains

Engineering With Computers ◽

10.1007/s00366-017-0571-5 ◽

2017 ◽

Vol 34 (4) ◽

pp. 757-774

Author(s):

Elyas Shivanian ◽

Ahmad Jafarabadi

Keyword(s):

Meshless Method ◽

Three Dimensional ◽

Scattered Data ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Klein Gordon

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Dynamical symmetries of rotationally invariant, three‐dimensional, Schrödinger equations

Journal of Mathematical Physics ◽

10.1063/1.524460 ◽

1980 ◽

Vol 21 (4) ◽

pp. 807-817 ◽

Cited By ~ 4

Author(s):

D. R. Truax

Keyword(s):

Three Dimensional ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Dynamical Symmetries ◽

Rotationally Invariant

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Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018122 ◽

2018 ◽

Vol 23 (9) ◽

pp. 4021-4044

Author(s):

Caidi Zhao ◽

◽

Gang Xue ◽

Grzegorz Łukaszewicz ◽

Keyword(s):

Invariant Measures ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Pullback Attractors ◽

Klein Gordon

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Infinitely many non-uniqueness examples for Cauchy problems of the two-dimensional wave and Schrödinger equations

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.97.009 ◽

2021 ◽

Vol 97 (7) ◽

Author(s):

Hiroshi Takase

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Cauchy Problems ◽

Dimensional Wave

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Schrödinger limit of weakly dissipative stochastic Klein--Gordon--Schrödinger equations and large deviations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2014.34.2795 ◽

2014 ◽

Vol 34 (7) ◽

pp. 2795-2818

Author(s):

Boling Guo ◽

◽

Yan Lv ◽

Wei Wang ◽

◽

...

Keyword(s):

Large Deviations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Klein Gordon

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Improved energy spectra of the Klein–Gordon and Schrödinger equations under the Tietz potential by WKB and super-symmetric WKB methods

Molecular Physics ◽

10.1080/00268976.2021.1970265 ◽

2021 ◽

pp. e1970265

Author(s):

E. Omugbe ◽

O. E. Osafile ◽

I. B. Okon

Keyword(s):

Energy Spectra ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Klein Gordon ◽

Tietz Potential

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Exponential stability for the coupled Klein–Gordon–Schrödinger equations with locally distributed damping in unbounded domains

Asymptotic Analysis ◽

10.3233/asy-201634 ◽

2020 ◽

pp. 1-27

Author(s):

Claudete M. Webler ◽

Janaina P. Zanchetta

Keyword(s):

Exponential Stability ◽

Unbounded Domains ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Klein Gordon

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A linear, symmetric and energy-conservative scheme for the space-fractional Klein–Gordon–Schrödinger equations

Applied Mathematics Letters ◽

10.1016/j.aml.2019.03.032 ◽

2019 ◽

Vol 95 ◽

pp. 104-113 ◽

Cited By ~ 6

Author(s):

Ying Wang ◽

Qi Li ◽

Liquan Mei

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Conservative Scheme ◽

Klein Gordon

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Convergence of a high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.03.004 ◽

2019 ◽

Vol 143 ◽

pp. 133-145 ◽

Cited By ~ 3

Author(s):

Juan Chen ◽

Fangqi Chen

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

High Order ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Klein Gordon

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Global existence and uniform decay for the coupled Klein–Gordon–Schrödinger equations with non-linear boundary damping and memory term

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.673 ◽

2006 ◽

Vol 29 (9) ◽

pp. 947-964 ◽

Cited By ~ 2

Author(s):

Jong Yeoul Park ◽

Joung Ae Kim

Keyword(s):

Global Existence ◽

Memory Term ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Linear Boundary ◽

Uniform Decay ◽

Boundary Damping ◽

Non Linear ◽

Klein Gordon

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