Benjamin-Ono and intermediate long wave equations: Modeling, IST and PDE

JC Saut - Nonlinear dispersive partial differential equations and …, 2019 - Springer
This survey article is focused on two asymptotic models for internal waves, the Benjamin-
Ono (BO) and Intermediate Long Wave (ILW) equations that are integrable by inverse …

[HTML][HTML] Inhomogeneous Neumann initial–boundary value problem for the nonlinear Schrödinger equation

EI Kaikina - Journal of Differential Equations, 2013 - Elsevier
We consider the inhomogeneous Neumann initial–boundary value problem for the
nonlinear Schrödinger equation, formulated on a half-line. We study traditionally important …

Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation

EI Kaikina - Journal of Mathematical Physics, 2013 - pubs.aip.org
We consider the inhomogeneous Dirichlet initial-boundary value problem for the nonlinear
Schrödinger equation, formulated on a half-line. We study traditionally important problems of …

Inhomogeneous initial-boundary value problem for the 2D nonlinear Schrödinger equation

EI Kaikina - Journal of Mathematical Physics, 2018 - pubs.aip.org
We consider the inhomogeneous Dirichlet initial-boundary value problem for the nonlinear
multidimensional Schrödinger equation, formulated on an upper right-quarter plane. We …

Benjamin–Ono and Intermediate Long Wave Equations: Modeling, IST and PDE

C Klein, JC Saut - … Dispersive Equations: Inverse Scattering and PDE …, 2022 - Springer
This chapter focuses on two asymptotic models for internalwaves, the Benjamin–Ono (BO)
and Intermediate LongWave (ILW) equations, which are integrable by inverse scattering …

Stochastic nonlinear Schrödinger equation on an upper-right quarter plane with Dirichlet random boundary

EI Kaikina, N Sotelo-Garcia - Journal of Mathematical Physics, 2020 - pubs.aip.org
In this paper, we study the nonhomogeneous stochastic initial-boundary value problem for
the nonlinear Schrödinger equation on an upper-right quarter plane with random Dirichlet …

Stochastic nonlinear Schrödinger equation on half-line with boundary noise

EI Kaikina, N Sotelo-Garcia… - Journal of Differential …, 2022 - Elsevier
We consider the stochastic nonlinear Schrödinger equations on the half-line with Neumann
brown-noise boundary conditions. We establish the global existence and uniqueness of …