Zobrazeno 1 - 10
of 101 423
pro vyhledávání: '"P. DE VRIES"'
Autor:
Titi, Edriss S., Victor, Collin
In this work, we study the applicability of the Azouani-Olson-Titi (AOT) nudging algorithm for continuous data assimilation to evolutionary dynamical systems that are not dissipative. Specifically, we apply the AOT algorithm to the Korteweg de-Vries
Externí odkaz:
http://arxiv.org/abs/2411.08273
The Korteweg-de Vries equation is a fundamental nonlinear equation that describes solitons with constant velocity. On the contrary, here we show that this equation also presents accelerated wavepacket solutions. This behavior is achieved by putting t
Externí odkaz:
http://arxiv.org/abs/2409.10426
Quasi double Casoratian solutions are derived for a bilinear system reformulated from the coupled semi-discrete modified Korteweg-de Vries equations with nonzero backgrounds. These solutions, when applied with the classical and nonlocal reduction tec
Externí odkaz:
http://arxiv.org/abs/2409.06168
Autor:
McConnell, Ryan, Oh, Seungly
We utilize a modulation restricted normal form approach to establish local well-posedness of the periodic Korteweg-de Vries equation in $H^s(\mathbb{T})$ for $s> -\frac23$. This work creates an analogue of the mKdV result by Nakanishi, Takaoka, and T
Externí odkaz:
http://arxiv.org/abs/2411.15069
We consider the Cauchy problem for the generalized fractional Korteweg-de Vries equation $$ u_t+D^\alpha u_x + u^p u_x= 0, \quad 1<\alpha\le 2, \quad p\in {\mathbb N}\setminus\{0\}, $$ with homogeneous initial data $\Phi$. We show that, under smallne
Externí odkaz:
http://arxiv.org/abs/2410.12063
Autor:
Wu, Qiming
The Korteweg-de Vries (KdV) equation is a fundamental partial differential equation that models wave propagation in shallow water and other dispersive media. Accurately solving the KdV equation is essential for understanding wave dynamics in physics
Externí odkaz:
http://arxiv.org/abs/2410.06240
Autor:
Monteiro, Gustavo M., Ganeshan, Sriram
In this work, we show that the edge dynamics of the Laughlin state in the weakly nonlinear regime is governed by the Korteweg-de Vries (KdV) equation. Our starting point is the Chern-Simons-Ginzburg-Landau theory in the lower half-plane, where the ef
Externí odkaz:
http://arxiv.org/abs/2410.01730
Autor:
Dwivedi, Mukul, Sarkar, Tanmay
We present a fully discrete Crank-Nicolson Fourier-spectral-Galerkin (FSG) scheme for approximating solutions of the fractional Korteweg-de Vries (KdV) equation, which involves a fractional Laplacian with exponent $\alpha \in [1,2]$ and a small dispe
Externí odkaz:
http://arxiv.org/abs/2409.18490
This paper represents a new perspective in understanding the controllability of the Korteweg-de Vries (KdV) equation on unbounded domains. By studying the equation on both the right and left half-line with a single control input, we show that a class
Externí odkaz:
http://arxiv.org/abs/2409.15571
Autor:
Shan, Minjie
In this paper, we discuss pointwise decay estimate for the solution to the mass-critical generalized Korteweg-de Vries (gKdV) equation with initial data $u_0\in H^{1/2}(\mathbb{R})$. It is showed that nonlinear solution enjoys the same decay rate as
Externí odkaz:
http://arxiv.org/abs/2409.05550