We consider the initial-value problem for the “good” Boussinesq equation on the line. Using
inverse scattering techniques, the solution can be expressed in terms of the solution of a 3× …

We establish local well‐posedness in the sense of Hadamard for a certain third‐order
nonlinear Schrödinger equation with a multiterm linear part and a general power …

Considered here is a class of Boussinesq systems of Nwogu type. Such systems describe
propagation of nonlinear and dispersive water waves of significant interest such as solitary …

A century and a half ago, J. Boussinesq derived an equation for the propagation of water
waves in a channel. Despite the fundamental importance of this equation for a number of …

The initial-boundary value problem (ibvp) for the Korteweg–de Vries (KdV) equation on the
half-line with data in Sobolev spaces is analysed by combining the unified transform method …

We study the local and global wellposedness of the initial-boundary value problem for the
biharmonic Schr\" odinger equation on the half-line with inhomogeneous Dirichlet-Neumann …

The well-posedness of the initial–boundary value problem (ibvp) for the Korteweg–de Vries
equation on the half-line is studied for initial data u 0 (x) in spatial Sobolev spaces H s (0,∞) …

The initial-boundary value problem (ibvp) for the m-th order dispersion Korteweg-de Vries
(KdV) equation on the half-line with rough data and solution in restricted Bourgain spaces is …

The initial‐boundary value problem for the heat equation on x> 0, t> 0\left {x> 0, t>
0\right\} with nonzero Dirichlet boundary data is studied rigorously, with emphasis on the …

The initial-boundary value problem (ibvp) for the nonlinear Schrödinger (NLS) equation on
the half-plane with nonzero boundary data is studied by advancing a novel approach …