We show that the initial value problem associated to the dispersive generalized Benjamin-
Ono-Zakharov-Kuznetsov equation $$ u\_t-D\_x^\alpha u\_ {x}+ u\_ {xyy}= uu\_x,\quad (t, x …

In this paper we study the initial-value problem associated with the Benjamin–Ono–
Zakharov–Kuznetsov equation. We prove that the IVP for such equation is locally well-posed …

In this paper we study the initial-value problem associated with the dispersion generalized-
Benjamin-Ono-Zakharov-Kuznetsov equation, u t+ D x a+ 1∂ x u+ uxy y+ uux= 0, a∈(0, 1) …

In this paper we study special properties of solutions of the initial value problem (IVP)
associated to the Benjamin-Ono-Zakharov-Kuznetsov (BO-ZK) equation. We prove that if …

In this paper we study the initial-value problem associated with the Benjamin–Ono–
Zakharov–Kuznetsov equation. Such equation appears as a two-dimensional generalization …

Instability of solitary wave solutions for the generalized BO–ZK equation Page 1 J. Differential
Equations 247 (2009) 3181–3201 Contents lists available at ScienceDirect Journal of …

The effect of weak lateral dispersion of Zakharov-Kutznetsov-type on a Benjamin-Ono
solitary wave is studied both asymptotically and numerically. The asymptotic solution is …

Here we consider results concerning ill-posedness for the Cauchy problem associated with
the Benjamin-Ono-Zakharov-Kuznetsov equation, namely,\begin {equation*}\left\{\begin …

Studied here is the generalized Benjamin-Ono–Zakharov-Kuznetsov equation ut+ upux+ αH
uxx+ εuxyy= 0,(x, y)∈ R2, t∈ R+, in two space dimensions. Here, H is the Hilbert transform …

Growth rate of transverse instabilities of solitary pulse solutions to a family of modified
Zakharov–Kuznetsov equations - ScienceDirect Skip to main contentSkip to article Elsevier logo …