Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Charalampidis, Efstathios G."'
We unravel the existence and stability properties of one-dimensional droplets arising in genuine two-component particle imbalanced bosonic mixtures under the influence of a weak harmonic confinement. A plethora of miscible droplet phases is found wit
Externí odkaz:
http://arxiv.org/abs/2409.19852
Motivated by the recent introduction of an integrable coupled massive Thirring model by Basu-Mallick et al, we introduce a new coupled Soler model. Further we generalize both the coupled massive Thirring and the coupled Soler model to arbitrary nonli
Externí odkaz:
http://arxiv.org/abs/2407.16596
We present and distribute a parallel finite-element toolbox written in the free software FreeFem for computing the Bogoliubov-de Gennes (BdG) spectrum of stationary solutions to one- and two-component Gross-Pitaevskii (GP) equations, in two or three
Externí odkaz:
http://arxiv.org/abs/2404.00956
In this paper, we apply a machine-learning approach to learn traveling solitary waves across various families of partial differential equations (PDEs). Our approach integrates a novel interpretable neural network (NN) architecture, called Separable G
Externí odkaz:
http://arxiv.org/abs/2403.04883
In this work, we show the application of the ``inverse problem'' method to construct exact $N$ trapped soliton-like solutions of the nonlinear Schr\"odinger or Gross-Pitaevskii equation (NLSE and GPE, respectively) in one, two, and three spatial dime
Externí odkaz:
http://arxiv.org/abs/2309.08789
In this work, we consider a ``reverse-engineering'' approach to construct confining potentials that support exact, constant density kovaton solutions to the classical Gross-Pitaevskii equation (GPE) also known as the nonlinear Schr\"odinger equation
Externí odkaz:
http://arxiv.org/abs/2303.02275
Sparse identification of nonlinear dynamical systems is a topic of continuously increasing significance in the dynamical systems community. Here we explore it at the level of lattice nonlinear dynamical systems of many degrees of freedom. We illustra
Externí odkaz:
http://arxiv.org/abs/2212.00971
Autor:
Lee, Marisa M., Charalampidis, Efstathios G., Xing, Siyuan, Chong, Christopher, Kevrekidis, Panayotis G.
This work focuses on the study of time-periodic solutions, including breathers, in a nonlinear lattice consisting of elements whose contacts alternate between strain-hardening and strain-softening. The existence, stability, and bifurcation structure
Externí odkaz:
http://arxiv.org/abs/2210.11690
In this work, we consider the nonlinear Schr\"odinger equation (NLSE) in $2+1$ dimensions with arbitrary nonlinearity exponent $\kappa$ in the presence of an external confining potential. Exact solutions to the system are constructed, and their stabi
Externí odkaz:
http://arxiv.org/abs/2207.04527
Publikováno v:
In Computer Physics Communications January 2025 306
