We prove the asymptotic stability of a finite sum of well-ordered solitary waves for the
Zakharov–Kuznetsov equation in dimensions two and three. We also derive a qualitative …

We study the dynamics of the collision of two solitary waves for the Zakharov-Kuznetsov
equation in dimension $2 $ and $3 $. We describe the evolution of the solution behaving as …

We derive the Whitham modulation equations for the Zakharov–Kuznetsov equation via a
multiple scales expansion and averaging two conservation laws over one oscillation period …

This work mainly focuses on spatial decay properties of solutions to the Zakharov–
Kuznetsov equation. For the two-and three-dimensional cases, it was established that if the …

We consider solutions to the initial value problem associated to the intermediate long wave
(ILW) equation. We establish persistence properties of the solution flow in weighted Sobolev …

The initial value problem for the generalized Zakharov–Kuznetsov equation on R 2 is shown
to be local well-posed in spaces of functions which are analytic on a strip without shrinking …

Initial-boundary value problems on a half-strip with different types of boundary conditions for
the generalized Kawahara–Zakharov–Kuznetsov equation with nonlinearity of higher order …

Abstract We consider the Kadomtsev–Petviashvili (KP) equations posed on R2. For both
models, we provide sequential in time asymptotic descriptions of solutions obtained from …

Consider the generalized Korteweg-de Vries (gKdV) equations with power nonlinearities $
q= 2, 3, 4\ldots $ in dimension $ N= 1$, and the Zakharov-Kuznetsov (ZK) model with integer …

In this work we study some regularity properties associated to the initial value problem
(IVP)\begin {equation}\label {main1}\left\{\begin {array}{ll}\partial_ {t} u-\partial_ {x_ {1}} …