We establish local well-posedness in the Sobolev space Hs with any s> 3 2 for an integrable
nonlinearly dispersive wave equation arising as a model for shallow water waves known as …

In this paper, the existence and the uniqueness of the global strong solution and the global
classical solution for the Cauchy problem of the multidimensional generalized IMBq …

We study the Cauchy problem of generalized Boussinesq equation [Formula: see text],
where f (u)=±| u| p or±| u| p− 1u, p> 1. By introducing a family of potential wells we obtain …

The nonlinear dispersive partial differential equation utt= uxx− uxxxx−(u2) xx(1. 1) is
sometimes known as the “good” Boussinesq equation since it agrees with the classical …

Sharper criteria for three-dimensional wave collapse described by the Nonlinear
Schrödinger Equation (NLSE) are derived. The collapse threshold corresponds to the …

Existance and Uniqueness for Boussinesq type equations on a circle Page 1 COMMUN. IN
PARTIAL DIFFERENTIAL EQUATIONS, 2 1(7&8), 1253-1277 (1996) EXISTENCE AND …

In the present article, we prove the sharp local well-posedness and ill-posedness results for
the “good” Boussinesq equation on 1d torus; the initial value problem is locally well-posed in …

In this paper we study the geometric numerical solution of the so called “good” Boussinesq
equation. This goal is achieved by using a convenient space semi‐discretization, able to …

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The dynamic evolution of linearly dispersive waves on periodic domains with discontinuous
initial profiles is shown to depend remarkedly upon the asymptotics of the dispersion relation …