Abstract The Kawahara–Korteweg–de Vries-type equation occurs in the modelization of
magneto-acoustic waves in plasmas and propagation of nonlinear water waves in the long …

On the solutions for an Ostrovsky type equation - ScienceDirect Skip to main contentSkip to
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We consider the Ostrovsky-Hunter type equation that includes the short pulse. We con-sider
here the asymptotic behavior as gamma goes to 0. The proof relies on deriving suitable a …

We consider scalar conservation laws where the flux function depends discontinuously on
both the spatial and temporal locations. Our main results are the existence and well …

Camassa-Holm type equations arise as models for the unidirectional propagation of shallow
water waves over a flat bottom. They also describe finite length, small amplitude radial …

The Kuramoto-Sinelshchikov equation describes the evolution of a phase turbulence in
reaction-diffusion systems or the evolution of the plane flame propagation, taking in account …

The stability of the peaked periodic wave in the reduced Ostrovsky equation has remained
an open problem for a long time. In order to solve this problem we obtain sharp bounds on …

Abstract The Ostrovsky–Hunter equation provides a model of small-amplitude long waves in
a rotating fluid of finite depth. This is a nonlinear evolution equation. In this study, we …

Abstract We consider the Rosenau–Korteweg–de Vries equation, which contains nonlinear
dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the …

High order convective Cahn-Hilliard type equations describe the faceting of a growing
surface, or the dynamics of phase transitions in ternary oil-water-surfactant systems. In this …