On the periodic Schr\"odinger-Boussinesq System
Luiz Gustavo Farah, Ademir Pastor
TL;DR
This paper investigates the mathematical properties of the periodic Schrödinger-Boussinesq system, focusing on well-posedness, existence of periodic pulses, and their stability in a periodic setting.
Contribution
It provides new results on the local and global well-posedness and stability analysis of periodic solutions for the Schrödinger-Boussinesq system.
Findings
Established conditions for local and global well-posedness.
Proved existence of periodic pulse solutions.
Analyzed stability of these solutions.
Abstract
We study the local and global well-posedness of the periodic boundary value problem for the nonlinear Schr\"odinger-Boussinesq system. The existence of periodic pulses as well as the stability of such solutions are also considered.
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