Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Chen, Meisen"'
In this article, we investigate some problems about the initial-value problem of the focusing Ablowitz-Ladik system, and the initial data belongs to a discrete weighted $\ell^2$ space. On the one hand, we have proved the global well-posedness for the
Externí odkaz:
http://arxiv.org/abs/2407.21526
In this paper, we establish $L^2$-Sobolev space bijectivity of the inverse scattering transform related to the defocusing Ablowitz-Ladik system. On the one hand, in the direct problem, based on the spectral problem, we establish the reflection coeffi
Externí odkaz:
http://arxiv.org/abs/2204.06897
Long-time asymptotics for the defocusing Ablowitz-Ladik system with initial data in lower regularity
Publikováno v:
In Advances in Mathematics July 2024 450
In this paper, we use the $\bar{\partial}$ steepest descent method to study the initial value problem for focusing nonlinear Schr\"odinger (fNLS) equation with non-generic weighted Sobolev initial data that allows for the presence of high-order discr
Externí odkaz:
http://arxiv.org/abs/2104.07301
Autor:
Chen, Meisen, Fan, Engui
In this paper, we are going to investigate Cauchy problem for nonlocal nonlinear Schr\"odinger equation with the initial potential $q_0(x)$ in weighted sobolev space $H^{1,1}(\mathbb{R})$, \begin{align*} iq_t(x,t)&+q_{xx}(x,t)+2\sigma q^2(x,t)\bar q(
Externí odkaz:
http://arxiv.org/abs/2101.03773
Autor:
Chen, Meisen, Fan, En-Gui
In this article, we apply Deift-Zhou nonlinear steepest descent method to analyze the long-time asymptotic behavior of the solution for the discrete defocusing mKdV equation. This equation was proposed by Ablowitz and Ladik.
Comment: 45 pages
Comment: 45 pages
Externí odkaz:
http://arxiv.org/abs/1903.06852
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena March 2023 168
Publikováno v:
In Physica D: Nonlinear Phenomena January 2023 443
Autor:
Chen, Meisen1 (AUTHOR), Fan, Engui1 (AUTHOR) faneg@fudan.edu.cn
Publikováno v:
Studies in Applied Mathematics. Apr2022, Vol. 148 Issue 3, p1180-1207. 28p.
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.