On the orbital stability of standing-waves solutions to a coupled non-linear Klein-Gordon equation
Daniele Garrisi
TL;DR
This paper investigates the existence and stability of standing wave solutions in a coupled non-linear Klein-Gordon system, introducing a Lyapunov function to analyze the ground state stability.
Contribution
It establishes the existence of standing waves and constructs a Lyapunov function for the ground state in a coupled Klein-Gordon system, advancing understanding of their stability.
Findings
Existence of standing wave solutions confirmed.
A Lyapunov function for the ground state is constructed.
Results support stability analysis of coupled Klein-Gordon systems.
Abstract
We consider a system of two coupled non-linear Klein-Gordon equations. We show the existence of standing waves solutions and the existence of a Lyapunov function for the ground state.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Quantum chaos and dynamical systems