On focusing coupled fourth-order nonlinear Schrodinger equations
Radia Ghanmi, Tarek Saanouni
TL;DR
This paper studies focusing coupled fourth-order nonlinear Schrödinger equations, establishing ground state existence, global well-posedness, and analyzing the optimal Gagliardo-Nirenberg inequality constants.
Contribution
It provides new results on existence, well-posedness, and inequality constants for a class of complex nonlinear Schrödinger equations.
Findings
Existence of ground states
Global well-posedness results
Determination of best Gagliardo-Nirenberg constants
Abstract
We investigate some focusing fourth-order coupled Schrodinger equations. Existence of ground state and global well-posedness are obtained. Moreover, the best constant of some Gagliardo-Nirenberg inequality is studied.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Photonic Systems · Nonlinear Waves and Solitons