Results 71 to 80 of about 634 (180)

Integrability of the Gross–Pitaevskii equation with Feshbach resonance management [PDF]

Physics Letters A, 2008
In this paper we study the integrability of a class of Gross-Pitaevskii equations managed by Feshbach resonance in an expulsive parabolic external potential. By using WTC test, we find a condition under which the Gross-Pitaevskii equation is completely integrable.
Zhao, Dun, Luo, Hong-Gang, Chai, Hua-Yue
openaire   +2 more sources

On nonlocal Gross-Pitaevskii equations with periodic potentials [PDF]

Journal of Mathematical Physics, 2012
The Gross-Pitaevskii equation is a widely used model in physics, in particular in the context of Bose-Einstein condensates. However, it only takes into account local interactions between particles. This paper demonstrates the validity of using a nonlocal formulation as a generalization of the local model.
openaire   +3 more sources

A New Thermodynamic Approach to Multimode Fiber Self‐cleaning and Soliton Condensation

Laser &Photonics Reviews, Volume 19, Issue 6, March 18, 2025.
A new thermodynamic theory for optical multimode systems is presented, based on a weighted Bose–Einstein law (wBE) and including a state equation, fundamental equation for the entropy and an accuracy metric. An experimental comparison of two propagation regimes of a multimode optical fiber is carried out in terms of wBE, namely the self‐cleaning in the
Mario Zitelli
wiley   +1 more source

Using Artificial Neural Networks to Solve the Gross–Pitaevskii Equation

Axioms
The current work proposes the incorporation of an artificial neural network to solve the Gross–Pitaevskii equation (GPE) efficiently, using a few realistic external potentials.
Ioannis G. Tsoulos, Vasileios N. Stavrou, Dimitrios Tsalikakis   +2 more
doaj   +1 more source

Dynamics characterization of modified Gross–Pitaevskii equation

Physica A: Statistical Mechanics and its Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Filho, Victo S., Machado, Birajara S., Francisco, Gerson, Tomio, Lauro   +3 more
openaire   +2 more sources

Ground states of a non‐local variational problem and Thomas–Fermi limit for the Choquard equation

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study non‐negative optimisers of a Gagliardo–Nirenberg‐type inequality ∫∫RN×RN|u(x)|p|u(y)|p|x−y|N−αdxdy⩽C∫RN|u|2dxpθ∫RN|u|qdx2p(1−θ)/q,$$\begin{align*} & \iint\nolimits _{\mathbb {R}^N \times \mathbb {R}^N} \frac{|u(x)|^p\,|u(y)|^p}{|x - y|^{N-\alpha }} dx\, dy\\ &\quad \leqslant C{\left(\int _{{\mathbb {R}}^N}|u|^2 dx\right)}^{p\theta } {\
Damiano Greco, Yanghong Huang, Zeng Liu, Vitaly Moroz   +3 more
wiley   +1 more source

Slowly rotating Bose Einstein condensate galactic dark matter halos, and their rotation curves

European Physical Journal C: Particles and Fields, 2018
If dark matter is composed of massive bosons, a Bose–Einstein condensation process must have occurred during the cosmological evolution. Therefore galactic dark matter may be in a form of a condensate, characterized by a strong self-interaction.
Xiaoyue Zhang, Man Ho Chan, Tiberiu Harko, Shi-Dong Liang, Chun Sing Leung   +4 more
doaj   +1 more source

Optical Soliton Structure Solutions, Sensitivity, and Modulation Stability Analysis in the Chiral Nonlinear Schrödinger Equation With Bohm Potential

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
This study examines the optical soliton structure solutions, sensitivity, and modulation stability analysis of the chiral nonlinear Schrödinger equation (NLSE) with Bohm potential, a basic model in nonlinear optics and quantum mechanics. The equation represents wave group dynamics in numerous physical systems, involving quantum Hall and nonlinear ...
Ishrat Bibi, Shah Muhammad, Muhammad Shakeel, Baboucarr Ceesay, Ivan Giorgio   +4 more
wiley   +1 more source

Multisymplectic Spectral Methods for the Gross-Pitaevskii Equation [PDF]

, 2002
Recently, Bridges and Reich introduced the concept of multisymplectic spectral discretizations for Hamiltonian wave equations with periodic boundary conditions [5]. In this paper, we show that the ID nonlinear Schrodinger equation and the 2D Gross-Pitaevskii equation are multi-symplectic and derive multi-symplectic spectral discretizations of these ...
Alvaro L. Islas, Constance M. Schober
openaire   +1 more source

Exploring Solitons and Modulation Instability in the Nonlinear Fractional Coupled Painlevé–Burgers Model

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This work reveals the novel types of exact solitons for the coupled (2 + 1)‐dimensional Painlevé’s–Burgers model in the sense of novel fractional derivative. To gain the different kinds of exact solitons, we utilized the modified extended direct algebraic technique.
Waseem Razzaq, Asim Zafar, Naif Almusallam, Fawaz Khaled Alarfaj, Pramita Mishra   +4 more
wiley   +1 more source