Add to ORKGIn this article, we investigate the initial-value problem for the sixth-order Boussinesq equation with fourth order dispersion term. Existence of a a global solution and asymptotic behavior in Morrey spaces are established under suitable conditions. The proof is mainly based on the decay properties of the solutions operator in Morrey spaces and the contraction mapping principle
AbstractWe study the global existence of solutions in Sobolev spaces and the asymptotic behavior for...
We consider a family of singularly perturbed Boussinesq equations. We obtain a rational weak solutio...
In the present paper, the global attractor, local stability, and boundedness of the solution of sixt...
This work studies the stability of solitary waves of a class of sixth-order Boussinesq equations.
AbstractIn this work we study the Cauchy problem of a fourth-order nonlinear Schrödinger equation wh...
Abstract We study the long time asymptotic behavior of solutions to a class of fourth-order nonlinea...
In this short paper, we prove that the solution of the cubic fourth-order Schr\"odinger equation (4N...
We study the Cauchy problem for a sixth-order Boussinesq equations with the generalized source ter...
The Cauchy problem for the Boussinesq equation in multidimensions is investigated. We prove the asym...
An improved class of nonlinear bidirectional Boussinesq equations of sixth order using a wave surfac...
AbstractWe study the long-time behavior of small solutions of the initial-value problem for a genera...
The L2 space solution of an initial boundary problem for a generalized damped Boussinesq equation is...
We consider a family of singularly perturbed Boussinesq equations. We obtain a rational weak solutio...
We investigate the Cauchy problem for the generalized damped Boussinesq equation. Under small condit...
We are interested in dispersive properties of the Boussinesq system for small initial data. We prove...
AbstractWe study the global existence of solutions in Sobolev spaces and the asymptotic behavior for...
We consider a family of singularly perturbed Boussinesq equations. We obtain a rational weak solutio...
In the present paper, the global attractor, local stability, and boundedness of the solution of sixt...
This work studies the stability of solitary waves of a class of sixth-order Boussinesq equations.
AbstractIn this work we study the Cauchy problem of a fourth-order nonlinear Schrödinger equation wh...
Abstract We study the long time asymptotic behavior of solutions to a class of fourth-order nonlinea...
In this short paper, we prove that the solution of the cubic fourth-order Schr\"odinger equation (4N...
We study the Cauchy problem for a sixth-order Boussinesq equations with the generalized source ter...
The Cauchy problem for the Boussinesq equation in multidimensions is investigated. We prove the asym...
An improved class of nonlinear bidirectional Boussinesq equations of sixth order using a wave surfac...
AbstractWe study the long-time behavior of small solutions of the initial-value problem for a genera...
The L2 space solution of an initial boundary problem for a generalized damped Boussinesq equation is...
We consider a family of singularly perturbed Boussinesq equations. We obtain a rational weak solutio...
We investigate the Cauchy problem for the generalized damped Boussinesq equation. Under small condit...
We are interested in dispersive properties of the Boussinesq system for small initial data. We prove...
AbstractWe study the global existence of solutions in Sobolev spaces and the asymptotic behavior for...
We consider a family of singularly perturbed Boussinesq equations. We obtain a rational weak solutio...
In the present paper, the global attractor, local stability, and boundedness of the solution of sixt...