3 papers
math.AP2026
Transverse Instability and Bifurcation Analysis of the line soliton for the NLS equation on a Fractured Strip
Hiroaki Kikuchi, Boris Shakarov, Kenta Tomioka
We consider the nonlinear Schrödinger equation on a two-dimensional strip with an attractive interaction and power nonlinearity. We investigate the transverse stability and bif…
math.AP2022
Global strong solutions of the coupled Klein-Gordon-Schrödinger equations
Tohru Ozawa, Kenta Tomioka
We study the initial-boundary value problem for the coupled Klein-Gordon-Schrödinger equations in a domain in with . Under natural assumptions on the initia…
math.AP2022
Schrödinger-improved Boussinesq system in two space dimensions
Tohru Ozawa, Kenta Tomioka
We study the Cauchy problem for the Schrödinger-improved Boussinesq system in a two dimensional domain. Under natural assumptions on the data without smallness, we prove the existe…