Supercritical Blowup in Coupled Parity-Time-Symmetric Nonlinear Schrödinger Equations

DOI10.1111/sapm.12063zbMath1311.35278arXiv1407.2438OpenAlexW3125698922MaRDI QIDQ2935336

M. S. Figueira, Dmitry A. Zezyulin, João-Paulo Dias, Vladimir V. Konotop

Publication date: 23 December 2014

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2438

zbMATH Keywords

nonlinear Schrödinger equationcoupled parity-time-symmetric systemsupercritical blowup

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)

Related Items

The Cauchy problem for coupled nonlinear Schrödinger equations with linear damping: local and global existence and blowup of solutions, Global existence of solutions to coupled \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations, On the Global Behavior of Solutions of a Coupled System of Nonlinear Schrödinger Equation, Constructing solvable models of vector non-linear Schrödinger equation with balanced loss and gain via non-unitary transformation, Coupled Nonlinear Schrödinger Equations with a Gauge Potential: Existence and Blowup, Numerical simulations of parity-time symmetric nonlinear Schrödinger equations in critical case, Critical blowup in coupled parity-time-symmetric nonlinear Schrödinger equations

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