Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications
Vladislav Prytula, Vadym Vekslerchik, Victor M. Perez-Garcia
TL;DR
This paper establishes sufficient conditions for blow-up and global solutions in coupled nonlinear Schrödinger equations, with applications to Bose-Einstein condensates and boson-fermion mixtures.
Contribution
It provides new criteria for blow-up and global existence in coupled NLS equations with different dispersion coefficients, extending understanding of these phenomena.
Findings
Derived sufficient conditions for blow-up.
Identified conditions for global solutions.
Applied results to physical systems like Bose-Einstein condensates.
Abstract
In this paper we study blow-up phenomena in general coupled nonlinear Schrodinger equations with different dispersion coefficients. We find sufficient conditions for blow-up and for the existence of global solutions. We discuss several applications of our results to heteronuclear multispecies Bose-Einstein condensates and to degenerate boson-fermion mixtures.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.