Zobrazeno 1 - 10
of 281
pro vyhledávání: '"Pelinovsky, D."'
The cubic nonlinear Schrodinger equation (NLS) in one dimension is considered in the presence of an intensity-dependent dispersion term. We study bright solitary waves with smooth profiles which extend from the limit where the dependence of the dispe
Externí odkaz:
http://arxiv.org/abs/2408.11192
We consider positive and spatially decaying solutions to the Gross-Pitaevskii equation with a harmonic potential. For the energy-critical case, there exists a ground state if and only if the frequency belongs to (1,3) in three dimensions and in (0,d)
Externí odkaz:
http://arxiv.org/abs/2207.10145
A continuous family of singular solitary waves exists in a prototypical system with intensity-dependent dispersion. The family has a cusped soliton as the limiting lowest energy state and is formed by the solitary waves with bell-shaped heads of diff
Externí odkaz:
http://arxiv.org/abs/2106.05413
We address the nonlinear Schrodinger equation with intensity-dependent dispersion which was recently proposed in the context of nonlinear optical systems. Contrary to the previous findings, we prove that no solitary wave solutions exist if the sign o
Externí odkaz:
http://arxiv.org/abs/2103.11858
Autor:
Madiyeva, A., Pelinovsky, D. E.
Peaked periodic waves in the Camassa-Holm equation are revisited. Linearized evolution equations are derived for perturbations to the peaked periodic waves and linearized instability is proven both in $H^1$ and $W^{1,\infty}$ norms. Dynamics of pertu
Externí odkaz:
http://arxiv.org/abs/2006.09516
We consider standing lattice solitons for discrete nonlinear Schrodinger equation with saturation (NLSS), where so-called transparent points were recently discovered. These transparent points are the values of the governing parameter (e.g., the latti
Externí odkaz:
http://arxiv.org/abs/1809.10828
We consider the resonant system of amplitude equations for the conformally invariant cubic wave equation on the three-sphere. Using the local bifurcation theory, we characterize all stationary states that bifurcate from the first two eigenmodes. Than
Externí odkaz:
http://arxiv.org/abs/1807.00426
We explain the concept of Krein signature in Hamiltonian and $\mathcal{PT}$-symmetric systems on the case study of the one-dimensional Gross-Pitaevskii equation with a real harmonic potential and an imaginary linear potential. These potentials corres
Externí odkaz:
http://arxiv.org/abs/1711.02191
We consider a chain of coupled pendula pairs, where each pendulum is connected to the nearest neighbors in the longitudinal and transverse directions. The common strings in each pair are modulated periodically by an external force. In the limit of sm
Externí odkaz:
http://arxiv.org/abs/1708.06134
Autor:
Kevrekidis, P. G., Pelinovsky, D. E.
Motivated by experiments in atomic Bose-Einstein condensates (BECs), we compare predictions of a system of ordinary differential equations (ODE) for dynamics of one and two individual vortices in the rotating BECs with those of the partial differenti
Externí odkaz:
http://arxiv.org/abs/1708.03683