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)

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)

Մատենագիտական մանրամասներ
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.]
Հիմնական հեղինակ:	Shapovalov A. V. Aleksandr Vasilyevich
Համատեղ հեղինակներ:	Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ), Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ) Международная лаборатория математической физики (МЛМФ)
Այլ հեղինակներ:	Trifonov A. Yu. Andrey Yurievich, Lisok A. L. Aleksandr Leonidovich
Ամփոփում:	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
Լեզու:	անգլերեն
Հրապարակվել է:	2016
Խորագրեր:	электронный ресурс труды учёных ТПУ
Առցանց հասանելիություն:	http://dx.doi.org/10.1088/1742-6596/670/1/012046
Ձևաչափ:	Էլեկտրոնային Գրքի գլուխ
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=647920

Նմանատիպ նյութեր

Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation; Arxiv.org
‌: Lisok A. L. Aleksandr Leonidovich
Հրապարակվել է: (2013)

Semiclassical symmetry of the Gross-Pitaevskii equation with quadratic nonlocal Hamiltonian; Arxiv.org
‌: Lisok A. L. Aleksandr Leonidovich
Հրապարակվել է: (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)
‌: Breev A. I. Aleksandr Igorevich
Հրապարակվել է: (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
‌: Shapovalov A. V. Aleksandr Vasilyevich
Հրապարակվել է: (2005)

The Gross–Pitaevskii Equation with a Nonlocal Interaction in a Semiclassical Approximation on a Curve; Symmetry; Vol. 12, iss. 2
‌: Shapovalov A. V. Aleksandr Vasilyevich
Հրապարակվել է: (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)
‌: Deriglazov A. A. Alexei Anatolievich
Հրապարակվել է: (2016)

Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction; Symmetry; Vol. 13, iss. 7
‌: Kulagin A. E. Anton Evgenievich
Հրապարակվել է: (2021)

Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 3
‌: Shapovalov A. V. Aleksandr Vasilyevich
Հրապարակվել է: (2007)

Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential; Arxiv.org
‌: Litvinets F. N.
Հրապարակվել է: (2005)

Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 1
‌: Borisov A. V. Aleksey Vladimirovich
Հրապարակվել է: (2005)

Family of Asymptotic Solutions to the Two-Dimensional Kinetic Equation with a Nonlocal Cubic Nonlinearity; Symmetry; Vol. 14, iss. 3
‌: Shapovalov A. V. Aleksandr Vasiljevich
Հրապարակվել է: (2022)

Quasi-energy spectral series for a nonlocal Gross-Pitaevskii equation; Russian Physics Journal; Vol. 50, iss. 7
‌: Lisok A. L. Aleksandr Leonidovich
Հրապարակվել է: (2007)

Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity; Russian Physics Journal; Vol. 60, iss. 2
‌: Levchenko E. A. Evgeny Anatolievich
Հրապարակվել է: (2017)

Approximate Solutions and Symmetry of a Two-Component Nonlocal Reaction-Diffusion Population Model of the Fisher-KPP Type; Symmetry; Vol. 11, iss. 3
‌: Shapovalov A. V. Aleksandr Vasiljevich
Հրապարակվել է: (2019)

Nonlinear Fokker-Planck Equation in the Model of Asset Returns; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 4
‌: Shapovalov A. V. Aleksandr Vasilyevich
Հրապարակվել է: (2008)

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
Հրապարակվել է: (2012)

Semiclassically Concentrates Waves for the Nonlinear Schrodinger Equation with External Field; Symmetry in Nonlinear Mathematical Physics, 9-15 July, 2001, Kyiv (Kiev), Ukraine
‌: Shapovalov A. V. Aleksandr Vasilyevich
Հրապարակվել է: (2002)

Methods of generating integrable potentials for the Sochrodinger equation and nonlocal symmetries; Soviet Physics Journal; Vol. 34, iss. 9
‌: Bagrov V. G.
Հրապարակվել է: (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
‌: Shapovalov A. V. Aleksandr Vasilyevich
Հրապարակվել է: (2004)

Symmetry algebras of linear differential equations; Theoretical and Mathematical Physics; Vol. 92, iss. 1
‌: Shapovalov A. V. Aleksandr Vasilyevich
Հրապարակվել է: (1992)

Symmetry operators of the nonlocal fisher- kolmogorov-petrovskii-piskunov equation with a quadratic operator; Russian Physics Journal; Vol. 56, iss. 12
‌: Levchenko E. A. Evgeny Anatolievich
Հրապարակվել է: (2014)

Solutions of the Gross-Pitaevskii equation in prolate spheroidal coordinates; Russian Physics Journal; Vol. 57, iss. 9
‌: Borisov A. V. Aleksey Vladimirovich
Հրապարակվել է: (2015)

Quasiparticles Described by the Gross–Pitaevskii Equation in the Semiclassical Approximation; Russian Physics Journal; Vol. 58, iss. 5
‌: Kulagin A. E. Anton Evgenievich
Հրապարակվել է: (2015)

Quasi-energy spectral series and the Aharonov-Anandan phase for the nonlocal Gross--Pitaevsky equation; Arxiv.org
‌: Lisok A. L. Aleksandr Leonidovich
Հրապարակվել է: (2006)

Symmetries: with 60 Figures
‌: Johnson D. L.
Հրապարակվել է: (London, Springer-Verlag, 2003)

Some problems of symmetry of the Schrodinger equations; Soviet Physics Journal; Vol. 34, iss. 4
Հրապարակվել է: (1991)

Symmetry Groups. Theoryaand Chemical Applications
‌: Flurry R. L.
Հրապարակվել է: (New Jersey, Prentice-Hall, INC, 1980)

Spontaneous violation of symmetry of the classical Liouville equation; Russian Physics Journal; Vol. 50, iss. 8
‌: Lasukov V. V. Vladimir Vasilievich
Հրապարակվել է: (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
‌: Shapovalov A. V. Aleksandr Vasilyevich
Հրապարակվել է: (2018)

Structure of Materials: an Introduction to Crystallography, Diffraction, and Symmetry
‌: De Graef M. Marc
Հրապարակվել է: (New York, Cambridge University Press, 2007)

Local symmetry algebra of the schrodinger equation for the hydrogen atom; Theoretical and Mathematical Physics; Vol. 106, iss. 2
‌: Drokin A. A.
Հրապարակվել է: (1996)

Noncommutative Integration and Symmetry Algebra of the Dirac Equation on the Lie Groups; Russian Physics Journal; Vol. 59, iss. 8
‌: Breev A. I. Aleksandr Igorevich
Հրապարակվել է: (2016)

Symmetry of the Dirac equation with an external non-Abelian gauge field; Soviet Physics Journal; Vol. 29, iss. 3
‌: Bagrov V. G.
Հրապարակվել է: (1986)

Symmetry operators of a Hartree-type equation with quadratic potential; Siberian Mathematical Journal; Vol. 46, iss. 1
‌: Lisok A. L. Aleksandr Leonidovich
Հրապարակվել է: (2005)

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
‌: Shapovalov A. V. Aleksandr Vasilyevich
Հրապարակվել է: (2018)

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
‌: Shapovalov A. V. Aleksandr Vasilyevich
Հրապարակվել է: (1995)

A Semiclassical Approach to the Nonlocal Nonlinear Schrödinger Equation with a Non-Hermitian Term; Mathematics; Vol. 12, iss. 4
‌: Kulagin A. E. Anton Evgenievich
Հրապարակվել է: (2024)

Semiclassical Solutions of the Nonlinear Schrödinger Equation; Journal of Nonlinear Mathematical Physics; Vol. 6, iss. 2
‌: Shapovalov A. V. Aleksandr Vasilyevich
Հրապարակվել է: (1999)

The one-dimensional Fisher–Kolmogorov equation with a nonlocal nonlinearity in a semiclassical approximation; Russian Physics Journal; Vol. 52, iss. 9
‌: Trifonov A. Yu. Andrey Yurievich
Հրապարակվել է: (2009)

Commutative subalgebras of three first-order symmetry operators and separation of variables in the wave equation; Soviet Physics Journal; Vol. 33, iss. 5
Հրապարակվել է: (1990)