The main goal of this paper is to study for a sixth-order logarithmic Boussinesq equation. We
obtain several results: Firstly, by using Feado-Galerkin method and a logaritmic Sobolev …

This paper provides an improved exponential growth estimate, surpassing the growth rate
given in the previous work. This finding elucidates the impact of the power index k in the …

Global rough solutions to the sixth-order Boussinesq equation - ScienceDirect Skip to main
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We consider the generalized Boussinesq (GBq) equation on the real hyperbolic space
$\mathbb {H}^{n} $($ n\geq2 $) in a rough framework based on Lorentz spaces. First, we …

Well-posedness for the Cauchy problem associated to a periodic Boussinesq equation -
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arxiv:1107.4424v1 [math.AP] 22 Jul 2011 Page 1 Stability of solitary waves for the
generalized higher-order Boussinesq equation Amin Esfahani School of Mathematics and …

In this work we study asymptotic properties of global solutions for an initial value problem of
a second order fractional differential equation with structural dam**. The evolution …

This article is concerned with an initial–boundary-value problem (IBVP) for the sixth order
Boussinesq equation on a bounded domain with non-homogeneous boundary …

In this paper, we study the Cauchy problem for one dimension generalized damped
Boussinesq equation. First, global existence and decay estimate of solutions to this problem …

The Cauchy problem for the nonlinear one-dimensional sixth-order Boussinesq equation
with logarithmic nonlinearity is concerned in this paper. Results of global existence and …