The fundamental" two-fluid" model for describing plasma dynamics is given by the Euler–
Maxwell system, in which compressible ion and electron fluids interact with their own self …

This article is concerned with the Zakharov–Kuznetsov equation (0.1)∂ t u+∂ x Δ u+ u∂
xu= 0. We prove that the associated initial value problem is locally well-posed in H s (R 2) for …

We study the dynamics of the collision of two solitary waves for the 2 and 3-dimensional
Zakharov–Kuznetsov equation, a high-dimensional non-integrable version of the Korteweg …

This paper is concerned with the Cauchy problem of the 2D Zakharov-Kuznetsov equation.
We prove bilinear estimates which imply local in time well-posedness in the Sobolev space …

arxiv:1302.2034v1 [math.AP] 8 Feb 2013 Page 1 arxiv:1302.2034v1 [math.AP] 8 Feb 2013
THE FOURIER RESTRICTION NORM METHOD FOR THE ZAKHAROV-KUZNETSOV …

Starting from a stochastic Zakharov-Kuznetsov (ZK) equation on a lattice, the previous work
[ST21] by the last two authors gave a derivation of the homogeneous 3-wave kinetic …

Abstract For each λ> 0 λ> 0 and under necessary conditions on the parameters, we construct
normalized waves for second order PDE's with mixed power non-linearities, with ‖ u ‖ _ L …

Starting from the stochastic Zakharov-Kuznetsov equation, a multidimensional KdV type
equation on a hypercubic lattice, we provide a derivation of the 3-wave kinetic equation. We …

We prove that solitons (or solitary waves) of the Zakharov–Kuznetsov (ZK) equation, a
physically relevant high dimensional generalization of the Korteweg–de Vries (KdV) …

We prove the local well-posedness of the three-dimensional Zakharov--Kuznetsov equation
\partial_tu+Δ\partial_xu+u\partial_xu=0 in the Sobolev spaces H^s(R^3), s>1, as well as in …