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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.AP2024
Solitary-wave solutions of the fractional nonlinear Schrödinger equation. I. Existence and numerical generation
A. Durán, N. Reguera
The present paper is the first part of a project devoted to the fractional nonlinear Schrödinger (fNLS) equation. It is concerned with the existence and numerical generation of the…