Global existence of solutions to coupled \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations

DOI10.1007/S10773-014-2422-0zbMath1329.81206arXiv1411.2895OpenAlexW2592300123MaRDI QIDQ905176

Vladimir V. Konotop, Dmitry A. Zezyulin, Dmitry E. Pelinovsky

Publication date: 14 January 2016

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2895

zbMATH Keywords

global existencecoupled nonlinear Schrödinger equationsparity-time symmetryManakov model

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (6)

Coupled pendula chains under parametric \(\mathcal{PT}\)-symmetric driving force ⋮ Approximated exponential integrators for the stochastic Manakov equation ⋮ On the Global Behavior of Solutions of a Coupled System of Nonlinear Schrödinger Equation ⋮ L ²-Sobolev space bijectivity of the inverse scattering of a 3 × 3 AKNS system ⋮ Numerical simulations of parity-time symmetric nonlinear Schrödinger equations in critical case ⋮ Critical blowup in coupled parity-time-symmetric nonlinear Schrödinger equations

Cites Work

• Integrable nonlinear Schrödinger systems and their soliton dynamics
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Nonlinear dynamics in PT-symmetric lattices
• Stationary modes and integrals of motion in nonlinear lattices with a ${\mathcal {PT}}$-symmetric linear part
• Supercritical Blowup in Coupled Parity-Time-Symmetric Nonlinear Schrödinger Equations
• BLOW-UP IN TWO-COMPONENT NONLINEAR SCHRÖDINGER SYSTEMS WITH AN EXTERNAL DRIVEN FIELD
• Nonlinear modes in a generalized $\mathcal{PT}$-symmetric discrete nonlinear Schrödinger equation
• Introduction to nonlinear dispersive equations

This page was built for publication: Global existence of solutions to coupled \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations