Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction

Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction

Бібліографічні деталі
Parent link:	Symmetry Vol. 13, iss. 7.— 2021.— [1289, 22 p.]
Автор:	Kulagin A. E. Anton Evgenievich
Інші автори:	Shapovalov A. V. Aleksandr Vasilyevich, Trifonov A. Yu. Andrey Yurievich
Резюме:	Title screen We propose the approach to constructing semiclassical spectral series for the generalized multidimensional stationary Gross–Pitaevskii equation with a nonlocal interaction term. The eigenvalues and eigenfunctions semiclassically concentrated on a curve are obtained. The curve is described by the dynamic system of moments of solutions to the nonlocal Gross–Pitaevskii equation. We solve the eigenvalue problem for the nonlocal stationary Gross–Pitaevskii equation basing on the semiclassical asymptotics found for the Cauchy problem of the parametric family of linear equations associated with the time-dependent Gross–Pitaevskii equation in the space of extended dimension. The approach proposed uses symmetries of equations in the space of extended dimension.
Мова:	Англійська
Опубліковано:	2021
Предмети:	электронный ресурс труды учёных ТПУ stationary Gross–Pitaevskii equation nonlocal interaction nonlinear spectral problem Bose–Einstein condensate semiclassical approximation symmetry operators
Онлайн доступ:	http://earchive.tpu.ru/handle/11683/71102 https://doi.org/10.3390/sym13071289
Формат:	Електронний ресурс Частина з книги
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666097

Схожі ресурси

The Gross–Pitaevskii Equation with a Nonlocal Interaction in a Semiclassical Approximation on a Curve
за авторством: Shapovalov A. V. Aleksandr Vasilyevich
Опубліковано: (2020)

Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation
за авторством: Borisov A. V. Aleksey Vladimirovich
Опубліковано: (2005)

Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential
за авторством: Shapovalov A. V. Aleksandr Vasilyevich
Опубліковано: (2005)

An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation
за авторством: Shapovalov A. V. Aleksandr Vasilyevich
Опубліковано: (2018)

Approximate Solutions and Symmetry of a Two-Component Nonlocal Reaction-Diffusion Population Model of the Fisher-KPP Type
за авторством: Shapovalov A. V. Aleksandr Vasiljevich
Опубліковано: (2019)

Symmetries of the Fisher–Kolmogorov–Petrovskii–Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation
Опубліковано: (2012)

Semiclassical spectral series of the two-component Hartree-type operator
Опубліковано: (2007)

Semiclassical approximation for the twodimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation with nonlocal nonlinearity in polar coordinates
за авторством: Trifonov A. Yu. Andrey Yurievich
Опубліковано: (2011)

Family of Asymptotic Solutions to the Two-Dimensional Kinetic Equation with a Nonlocal Cubic Nonlinearity
за авторством: Shapovalov A. V. Aleksandr Vasiljevich
Опубліковано: (2022)

Semiclassical Approach to the Nonlocal Kinetic Model of Metal Vapor Active Media
за авторством: Shapovalov A. V. Aleksandr Vasiljevich
Опубліковано: (2021)

Formalism of semiclassical asymptotics for a two-component Hartree-type equation
за авторством: Smirnova E. I.
Опубліковано: (2009)

Symmetry operators of a Hartree-type equation with quadratic potential
за авторством: Lisok A. L. Aleksandr Leonidovich
Опубліковано: (2005)

A Semiclassical Approach to the Nonlocal Nonlinear Schrödinger Equation with a Non-Hermitian Term
за авторством: Kulagin A. E. Anton Evgenievich
Опубліковано: (2024)

Quasiparticles Described by the Gross–Pitaevskii Equation in the Semiclassical Approximation
за авторством: Kulagin A. E. Anton Evgenievich
Опубліковано: (2015)

The one-dimensional Fisher–Kolmogorov equation with a nonlocal nonlinearity in a semiclassical approximation
за авторством: Trifonov A. Yu. Andrey Yurievich
Опубліковано: (2009)

Semiclassical symmetry of the Gross-Pitaevskii equation with quadratic nonlocal Hamiltonian
за авторством: Lisok A. L. Aleksandr Leonidovich
Опубліковано: (2007)

One-Dimensional Fokker–Planck Equation with Quadratically Nonlinear Quasilocal Drift
за авторством: Shapovalov A. V. Aleksandr Vasilyevich
Опубліковано: (2018)

Quasi-energy spectral series for a nonlocal Gross-Pitaevskii equation
за авторством: Lisok A. L. Aleksandr Leonidovich
Опубліковано: (2007)

Functional Control Synthesis of Single-Phase Low Power Motor Drives
Опубліковано: (2019)

Calogero models and nonlocal conformal transformations
за авторством: Galajinsky A. V. Anton Vladimirovich
Опубліковано: (2006)

Application of numerical signal differentiation methods to determine statio-narity of A process
Опубліковано: (2018)

Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation
за авторством: Lisok A. L. Aleksandr Leonidovich
Опубліковано: (2013)

Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity
за авторством: Shapovalov A. V. Aleksandr Vasilyevich
Опубліковано: (2007)

Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential
за авторством: Litvinets F. N.
Опубліковано: (2005)

Spectral Characteristics of Polarization Radiation in the Water Window Range
Опубліковано: (2024)

Spectral characteristics of the luminescence of industrial yag phosphors
за авторством: Vaganov V. Vitalii
Опубліковано: (2016)

Adomyan Decomposition Method for a Two-Component Nonlocal Reaction-Diffusion Model of the Fisher–Kolmogorov–Petrovsky–Piskunov Type
за авторством: Shapovalov A. V. Aleksandr Vasiljevich
Опубліковано: (2019)

Asymptotic Behavior of the One-Dimensional Fisher–Kolmogorov–Petrovskii–Piskunov Equation with Anomalouos Diffusion
за авторством: Prozorov A. A. Alexander Andreevich
Опубліковано: (2015)

Quasiparticle solutions for the nonlocal NLSE with an anti-Hermitian term in semiclassical approximation
за авторством: Kulagin A. E. Anton Evgenievich
Опубліковано: (2025)

Rational Ruijsenaars-Schneider model with cosmological constant
за авторством: Galajinsky A. V. Anton Vladimirovich
Опубліковано: (2025)

Comment on Mahariq et al. Investigation and Analysis of Acoustojets by Spectral Element Method. Mathematics 2022, 10, 3145
за авторством: Minin I. V. Igor Vladilenovich
Опубліковано: (2022)

Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS4 space
Опубліковано: (2019)

Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity
за авторством: Levchenko E. A. Evgeny Anatolievich
Опубліковано: (2017)

Asymptotics semiclassically concentrated on curves for the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation
за авторством: Levchenko E. A. Evgeny Anatolievich
Опубліковано: (2016)

Some Aspects of Nonlinearity and Self-Organization In Biosystems on Examples of Localized Excitations in the DNA Molecule and Generalized Fisher–KPP Model
за авторством: Shapovalov A. V. Aleksandr Vasilyevich
Опубліковано: (2018)

Influence of the method of synthesis on lead azide photolysis
за авторством: Surovoy E. P.
Опубліковано: (2007)

Symmetry operators of the two-component Gross—Pitaevskii equation with a Manakov-type nonlocal nonlinearity
за авторством: Shapovalov A. V. Aleksandr Vasilyevich
Опубліковано: (2016)

N=4 superconformal Calogero models
за авторством: Galajinsky A. V. Anton Vladimirovich
Опубліковано: (2007)

Chemical spectral shift control method for VVER-1000 LEU fuel assembly benchmark
за авторством: Elzayat T. Tarek
Опубліковано: (2022)

Conformal mechanics inspired by extremal black holes in d = 4
за авторством: Galajinsky A. V. Anton Vladimirovich
Опубліковано: (2011)