\mathcal {PT}-symmetry breaking in complex nonlinear wave equations and their deformations

DOI10.1088/1751-8113/44/32/325201zbMath1226.81090arXiv1103.1832OpenAlexW3104152820MaRDI QIDQ3091883

Andrea Cavaglià, Bijan K. Bagchi, Andreas Fring

Publication date: 14 September 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1832

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcation theory for ordinary differential equations (34C23) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Symmetry breaking in quantum theory (81R40) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (7)

Linearly stable and unstable complex soliton solutions with real energies in the Bullough-Dodd model ⋮ Complex Classical Motion in Potentials with Poles and Turning Points ⋮ Perfectly invisible \( \mathcal{P}\mathcal{T} \)-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry ⋮ Time-delay and reality conditions for complex solitons ⋮ New exact solitary wave solutions of a coupled nonlinear wave equation ⋮ Complex solitons with real energies ⋮ Complex BPS solitons with real energies from duality

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