Symmetry operators of the two-component Gross—Pitaevskii equation with a Manakov-type nonlocal nonlinearity; Journal of Physics: Conference Series; Vol. 670, conf. 1 : XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23)
| Parent link: | Journal of Physics: Conference Series Vol. 670, conf. 1 : XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23).— 2016.— [13 p.] |
|---|---|
| Prif Awdur: | |
| Awduron Corfforaethol: | , |
| Awduron Eraill: | , |
| Crynodeb: | Title screen We consider an integro-differential 2-component multidimensional Gross-Pitaevskii equation with a Manakov-type cubic nonlocal nonlinearity. In the framework of the WKB-Maslov semiclassical formalism, we obtain a semiclassically reduced 2-component nonlocal Gross- Pitaevskii equation determining the leading term of the semiclassical asymptotic solution. For the reduced Gross-Pitaevskii equation we construct symmetry operators which transform arbitrary solution of the equation into another solution. Constructing the symmetry operator is based on the Cauchy problem solution technique and uses an intertwining operator which connects two solutions of the reduced Gross-Pitaevskii equation. General structure of the symmetry operator is illustrated with a 1D case for which a family of symmetry operators is found explicitly and a set of exact solutions is generated. Режим доступа: по договору с организацией-держателем ресурса |
| Iaith: | Saesneg |
| Cyhoeddwyd: |
2016
|
| Pynciau: | |
| Mynediad Ar-lein: | http://dx.doi.org/10.1088/1742-6596/670/1/012046 |
| Fformat: | Electronig Pennod Llyfr |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=647920 |
Eitemau Tebyg
Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation; Arxiv.org
gan: Lisok A. L. Aleksandr Leonidovich
Cyhoeddwyd: (2013)
gan: Lisok A. L. Aleksandr Leonidovich
Cyhoeddwyd: (2013)
Semiclassical symmetry of the Gross-Pitaevskii equation with quadratic nonlocal Hamiltonian; Arxiv.org
gan: Lisok A. L. Aleksandr Leonidovich
Cyhoeddwyd: (2007)
gan: Lisok A. L. Aleksandr Leonidovich
Cyhoeddwyd: (2007)
The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration; Journal of Physics: Conference Series; Vol. 670, conf. 1 : XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23)
gan: Breev A. I. Aleksandr Igorevich
Cyhoeddwyd: (2016)
gan: Breev A. I. Aleksandr Igorevich
Cyhoeddwyd: (2016)
Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 1
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2005)
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2005)
The Gross–Pitaevskii Equation with a Nonlocal Interaction in a Semiclassical Approximation on a Curve; Symmetry; Vol. 12, iss. 2
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2020)
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2020)
Hamiltonian action of spinning particle with gravimagnetic moment; Journal of Physics: Conference Series; Vol. 670, conf. 1 : XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23)
gan: Deriglazov A. A. Alexei Anatolievich
Cyhoeddwyd: (2016)
gan: Deriglazov A. A. Alexei Anatolievich
Cyhoeddwyd: (2016)
Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction; Symmetry; Vol. 13, iss. 7
gan: Kulagin A. E. Anton Evgenievich
Cyhoeddwyd: (2021)
gan: Kulagin A. E. Anton Evgenievich
Cyhoeddwyd: (2021)
Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 3
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2007)
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2007)
Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential; Arxiv.org
gan: Litvinets F. N.
Cyhoeddwyd: (2005)
gan: Litvinets F. N.
Cyhoeddwyd: (2005)
Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 1
gan: Borisov A. V. Aleksey Vladimirovich
Cyhoeddwyd: (2005)
gan: Borisov A. V. Aleksey Vladimirovich
Cyhoeddwyd: (2005)
Family of Asymptotic Solutions to the Two-Dimensional Kinetic Equation with a Nonlocal Cubic Nonlinearity; Symmetry; Vol. 14, iss. 3
gan: Shapovalov A. V. Aleksandr Vasiljevich
Cyhoeddwyd: (2022)
gan: Shapovalov A. V. Aleksandr Vasiljevich
Cyhoeddwyd: (2022)
Quasi-energy spectral series for a nonlocal Gross-Pitaevskii equation; Russian Physics Journal; Vol. 50, iss. 7
gan: Lisok A. L. Aleksandr Leonidovich
Cyhoeddwyd: (2007)
gan: Lisok A. L. Aleksandr Leonidovich
Cyhoeddwyd: (2007)
Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity; Russian Physics Journal; Vol. 60, iss. 2
gan: Levchenko E. A. Evgeny Anatolievich
Cyhoeddwyd: (2017)
gan: Levchenko E. A. Evgeny Anatolievich
Cyhoeddwyd: (2017)
Approximate Solutions and Symmetry of a Two-Component Nonlocal Reaction-Diffusion Population Model of the Fisher-KPP Type; Symmetry; Vol. 11, iss. 3
gan: Shapovalov A. V. Aleksandr Vasiljevich
Cyhoeddwyd: (2019)
gan: Shapovalov A. V. Aleksandr Vasiljevich
Cyhoeddwyd: (2019)
Nonlinear Fokker-Planck Equation in the Model of Asset Returns; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 4
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2008)
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2008)
Semiclassically Concentrates Waves for the Nonlinear Schrodinger Equation with External Field; Symmetry in Nonlinear Mathematical Physics, 9-15 July, 2001, Kyiv (Kiev), Ukraine
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2002)
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2002)
Symmetries of the Fisher–Kolmogorov–Petrovskii–Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation; Journal of Mathematical Analysis and Applications; Vol. 395, iss. 2
Cyhoeddwyd: (2012)
Cyhoeddwyd: (2012)
Methods of generating integrable potentials for the Sochrodinger equation and nonlocal symmetries; Soviet Physics Journal; Vol. 34, iss. 9
gan: Bagrov V. G.
Cyhoeddwyd: (1991)
gan: Bagrov V. G.
Cyhoeddwyd: (1991)
Semiclassical Approach to the Geometric Phase Theory for the Hartree Type Equation; Symmetry in Nonlinear Mathematical Physics, June 23-29, 2003, Kyiv (Kiev), Ukraine
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2004)
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2004)
Symmetry algebras of linear differential equations; Theoretical and Mathematical Physics; Vol. 92, iss. 1
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (1992)
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (1992)
Symmetry operators of the nonlocal fisher- kolmogorov-petrovskii-piskunov equation with a quadratic operator; Russian Physics Journal; Vol. 56, iss. 12
gan: Levchenko E. A. Evgeny Anatolievich
Cyhoeddwyd: (2014)
gan: Levchenko E. A. Evgeny Anatolievich
Cyhoeddwyd: (2014)
Symmetries: with 60 Figures
gan: Johnson D. L.
Cyhoeddwyd: (London, Springer-Verlag, 2003)
gan: Johnson D. L.
Cyhoeddwyd: (London, Springer-Verlag, 2003)
Quasiparticles Described by the Gross–Pitaevskii Equation in the Semiclassical Approximation; Russian Physics Journal; Vol. 58, iss. 5
gan: Kulagin A. E. Anton Evgenievich
Cyhoeddwyd: (2015)
gan: Kulagin A. E. Anton Evgenievich
Cyhoeddwyd: (2015)
Solutions of the Gross-Pitaevskii equation in prolate spheroidal coordinates; Russian Physics Journal; Vol. 57, iss. 9
gan: Borisov A. V. Aleksey Vladimirovich
Cyhoeddwyd: (2015)
gan: Borisov A. V. Aleksey Vladimirovich
Cyhoeddwyd: (2015)
Quasi-energy spectral series and the Aharonov-Anandan phase for the nonlocal Gross--Pitaevsky equation; Arxiv.org
gan: Lisok A. L. Aleksandr Leonidovich
Cyhoeddwyd: (2006)
gan: Lisok A. L. Aleksandr Leonidovich
Cyhoeddwyd: (2006)
Some problems of symmetry of the Schrodinger equations; Soviet Physics Journal; Vol. 34, iss. 4
Cyhoeddwyd: (1991)
Cyhoeddwyd: (1991)
Symmetry Groups. Theoryaand Chemical Applications
gan: Flurry R. L.
Cyhoeddwyd: (New Jersey, Prentice-Hall, INC, 1980)
gan: Flurry R. L.
Cyhoeddwyd: (New Jersey, Prentice-Hall, INC, 1980)
Spontaneous violation of symmetry of the classical Liouville equation; Russian Physics Journal; Vol. 50, iss. 8
gan: Lasukov V. V. Vladimir Vasilievich
Cyhoeddwyd: (2007)
gan: Lasukov V. V. Vladimir Vasilievich
Cyhoeddwyd: (2007)
Structure of Materials: an Introduction to Crystallography, Diffraction, and Symmetry
gan: De Graef M. Marc
Cyhoeddwyd: (New York, Cambridge University Press, 2007)
gan: De Graef M. Marc
Cyhoeddwyd: (New York, Cambridge University Press, 2007)
Some Aspects of Nonlinearity and Self-Organization In Biosystems on Examples of Localized Excitations in the DNA Molecule and Generalized Fisher–KPP Model; Symmetry; Vol. 10, iss. 3
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2018)
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2018)
Local symmetry algebra of the schrodinger equation for the hydrogen atom; Theoretical and Mathematical Physics; Vol. 106, iss. 2
gan: Drokin A. A.
Cyhoeddwyd: (1996)
gan: Drokin A. A.
Cyhoeddwyd: (1996)
Symmetry operators of a Hartree-type equation with quadratic potential; Siberian Mathematical Journal; Vol. 46, iss. 1
gan: Lisok A. L. Aleksandr Leonidovich
Cyhoeddwyd: (2005)
gan: Lisok A. L. Aleksandr Leonidovich
Cyhoeddwyd: (2005)
Symmetry of the Dirac equation with an external non-Abelian gauge field; Soviet Physics Journal; Vol. 29, iss. 3
gan: Bagrov V. G.
Cyhoeddwyd: (1986)
gan: Bagrov V. G.
Cyhoeddwyd: (1986)
Noncommutative Integration and Symmetry Algebra of the Dirac Equation on the Lie Groups; Russian Physics Journal; Vol. 59, iss. 8
gan: Breev A. I. Aleksandr Igorevich
Cyhoeddwyd: (2016)
gan: Breev A. I. Aleksandr Igorevich
Cyhoeddwyd: (2016)
Integration of the d'Alembert equation by means of four-dimensional nonabelian symmetry subalgebras with a single second-order operator; Russian Physics Journal; Vol. 38, iss. 8
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (1995)
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (1995)
Symmetry operators and separation of variables in the (2+1)-dimensional Dirac equation with external electromagnetic field; International Journal of Geometric Methods in Modern Physics; Vol. 15, iss. 5
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2018)
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (2018)
Semiclassical Solutions of the Nonlinear Schrödinger Equation; Journal of Nonlinear Mathematical Physics; Vol. 6, iss. 2
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (1999)
gan: Shapovalov A. V. Aleksandr Vasilyevich
Cyhoeddwyd: (1999)
A Semiclassical Approach to the Nonlocal Nonlinear Schrödinger Equation with a Non-Hermitian Term; Mathematics; Vol. 12, iss. 4
gan: Kulagin A. E. Anton Evgenievich
Cyhoeddwyd: (2024)
gan: Kulagin A. E. Anton Evgenievich
Cyhoeddwyd: (2024)
Quantum Mechanics. Symmetries: With 81 Figures, and 127 Worked Examples and Problems
gan: Greiner W. Walter
Cyhoeddwyd: (Springer, 1994)
gan: Greiner W. Walter
Cyhoeddwyd: (Springer, 1994)
Introduction to Mechanics and Symmetry. A Basic Exposition of Classical Mechanical Systems
gan: Marsden J. E. Jerrold E.
Cyhoeddwyd: (New York, Springer, 1999)
gan: Marsden J. E. Jerrold E.
Cyhoeddwyd: (New York, Springer, 1999)