3 papers
math.AP2024
Mathematical properties of Klein-Gordon-Boussinesq systems
A. Durán, A. Esfahani, G. Muslu
The Klein-Gordon-Boussinesq (KGB) system is proposed in the literature as a model problem to study the validity of approximations in the long wave limit provided by simpler equatio…
math.AP2024
Notes on solitary-wave solutions of Rosenau-type equations
A. Durán, G. M. Muslu
The present paper is concerned with the existence of solitary wave solutions of Rosenau-type equations. By using two standard theories, Normal Form Theory and Concentration-Compact…
math.AP2023
Stability of Periodic Waves for the Defocusing Fractional Cubic Nonlinear Schrödinger Equation
Handan Borluk, Gulcin M. Muslu, Fábio Natali
In this paper, we determine the spectral instability of periodic odd waves for the defocusing fractional cubic nonlinear Schrödinger equation. Our approach is based on periodic per…