Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Coz, Stefan Le"'
Autor:
Kfoury, Perla, Coz, Stefan Le
Periodic waves are standing wave solutions of nonlinear Schr\''odinger equations whose profile is periodic in space dimension one. We consider general nonlinearities and provide variational characterizations for the periodic wave profiles. This invol
Externí odkaz:
http://arxiv.org/abs/2403.20068
Our goal is to compute excited states for the nonlinear Schr{\"o}dinger equation in the radial setting. We introduce a new technique based on the Nehari manifold approach and give a comparison with the classical shooting method. We observe that the N
Externí odkaz:
http://arxiv.org/abs/2307.02158
The main contribution of this article is the construction of a finite time blow-up solution to the mass-critical focusing nonlinear Schr\"odinger equation set on a metric star graph $\mathcal G$ with $N$ edges, for any $N\ge 2$. After establishing we
Externí odkaz:
http://arxiv.org/abs/2302.09678
For the double power one dimensional nonlinear Schr{\"o}dinger equation, we establish a complete classification of the stability or instability of standing waves with positive frequencies. In particular, we fill out the gaps left open by previous stu
Externí odkaz:
http://arxiv.org/abs/2112.06529
Nonlinear quantum graphs are metric graphs equipped with a nonlinear Schr{\"o}dinger equation. Whereas in the last ten years they have known considerable developments on the theoretical side, their study from the numerical point of view remains in it
Externí odkaz:
http://arxiv.org/abs/2103.09650
Autor:
Coz, Stefan Le, Wang, Zhong
We establish the nonlinear stability of $N$-soliton solutions of the modified Korteweg-de Vries (mKdV) equation. The $N$-soliton solutions are global solutions of mKdV behaving at (positive and negative) time infinity as sums of $1$-solitons with spe
Externí odkaz:
http://arxiv.org/abs/2010.00814
We introduce and implement a method to compute stationary states of nonlinear Schr\''odinger equations on metric graphs. Stationary states are obtained as local minimizers of the nonlinear Schr\''odinger energy at fixed mass. Our method is based on a
Externí odkaz:
http://arxiv.org/abs/2006.04404
Autor:
Coz, Stefan Le, Wu, Yifei
The nonlinear Schr{\"o}dinger equation with derivative cubic nonlinearity admits a family of solitons, which are orbitally stable in the energy space. In this work, we prove the orbital stability of multi-solitons configurations in the energy space,
Externí odkaz:
http://arxiv.org/abs/1609.04589
We study the stability of the cnoidal, dnoidal and snoidal elliptic functions as spatially-periodic standing wave solutions of the 1D cubic nonlinear Schr{\"o}dinger equations. First, we give global variational characterizations of each of these peri
Externí odkaz:
http://arxiv.org/abs/1606.04215
We consider the one-dimensional Gross-Pitaevskii equation perturbed by a Dirac potential. Using a fine analysis of the properties of the linear propagator, we study the well-posedness of the Cauchy Problem in the energy space of functions with modulu
Externí odkaz:
http://arxiv.org/abs/1506.03761