Add to ORKGAbstract. We study the existence and scattering of global small amplitude solutions to modified improved Boussinesq equations in one dimension with nonlinear term f(u) behaving as a power up as u → 0. Solutions in Hs space are considered for all s> 0. According to the value of s, the power nonlinearity exponent p is determined. Liu [15] obtained the minimum value of p greater than 8 at s = 3 2 for sufficiently small Cauchy data. In this paper, we prove that p can be reduced to be greater than 9 2 at s>
AbstractThe paper studies the existence and non-existence of global weak solutions to the Cauchy pro...
AbstractIn this paper, we reconsider the problem discussed in [G.W. Chen, S.B. Wang, Small amplitude...
This paper presents the general case study of previous works on generalized Boussinesq equations, (A...
We study the existence and scattering of global small amplitude solutions to modified improved Bouss...
Abstract. We study the existence and scattering of global small amplitude solutions to generalized B...
AbstractVariants of the improved Boussinesq equation with positive and negative exponents are invest...
AbstractWe study the long-time behavior of small solutions of the initial-value problem for a genera...
In this note we show that all small solutions in the energy space of the generalized 1D Boussinesq e...
The nonlinear variants of the generalized Boussinesq water equations with positive and negative expo...
AbstractIn this paper, we consider the long-time behavior of small solutions of the Cauchy problem f...
AbstractWe study the initial value problem for the generalized Boussinesq equation and prove existen...
The Cauchy problem for the Boussinesq equation in multidimensions is investigated. We prove the asym...
We will give conditions which will guarantee the existence of global weak solutions of the Boussines...
AbstractThis paper studies the Boussinesq equation in the presence of a couple of perturbation terms...
AbstractIn this paper, the global existence of small amplitude solution for the Cauchy problem of th...
AbstractThe paper studies the existence and non-existence of global weak solutions to the Cauchy pro...
AbstractIn this paper, we reconsider the problem discussed in [G.W. Chen, S.B. Wang, Small amplitude...
This paper presents the general case study of previous works on generalized Boussinesq equations, (A...
We study the existence and scattering of global small amplitude solutions to modified improved Bouss...
Abstract. We study the existence and scattering of global small amplitude solutions to generalized B...
AbstractVariants of the improved Boussinesq equation with positive and negative exponents are invest...
AbstractWe study the long-time behavior of small solutions of the initial-value problem for a genera...
In this note we show that all small solutions in the energy space of the generalized 1D Boussinesq e...
The nonlinear variants of the generalized Boussinesq water equations with positive and negative expo...
AbstractIn this paper, we consider the long-time behavior of small solutions of the Cauchy problem f...
AbstractWe study the initial value problem for the generalized Boussinesq equation and prove existen...
The Cauchy problem for the Boussinesq equation in multidimensions is investigated. We prove the asym...
We will give conditions which will guarantee the existence of global weak solutions of the Boussines...
AbstractThis paper studies the Boussinesq equation in the presence of a couple of perturbation terms...
AbstractIn this paper, the global existence of small amplitude solution for the Cauchy problem of th...
AbstractThe paper studies the existence and non-existence of global weak solutions to the Cauchy pro...
AbstractIn this paper, we reconsider the problem discussed in [G.W. Chen, S.B. Wang, Small amplitude...
This paper presents the general case study of previous works on generalized Boussinesq equations, (A...