On defocusing fourth-order coupled nonlinear Schrodinger equations
Radhia Ghanmi, Tarek Saanouni
TL;DR
This paper studies the initial value problem for defocusing coupled nonlinear fourth-order Schrödinger equations, establishing global well-posedness and scattering results in the energy space.
Contribution
It provides the first rigorous analysis of global solutions and scattering for this class of equations in the energy space.
Findings
Proved global well-posedness in the energy space
Established scattering behavior of solutions
Extended analysis to coupled fourth-order Schrödinger systems
Abstract
We investigate the initial value problem for some defocusing coupled nonlinear fourth-order Schrodinger equations. Global well-posedness and scattering in the energy space are obtained.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Nonlinear Photonic Systems