Solitons and Their Ghosts in $$\mathcal{P}\mathcal{T}$$ -Symmetric Systems with Defocusing Nonlinearities

DOI10.1007/978-3-319-02057-0_1zbMath1327.35346arXiv1208.2445OpenAlexW3122148809MaRDI QIDQ2949349

R. Carretero-González, V. A. Achilleos, Panayotis G. Kevrekidis, Dimitrios J. Frantzeskakis

Publication date: 8 October 2015

Published in: Nonlinear Systems and Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2445

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items (1)

Complete integrability of nonlocal nonlinear Schrödinger equation

Cites Work

• Emergent nonlinear phenomena in Bose-Einstein condensates. Theory and experiment
• Multiple dark solitons in Bose-Einstein condensates at finite temperatures
• Visualization of Branch Points in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-Symmetric Waveguides
• Dark solitons in atomic Bose–Einstein condensates: from theory to experiments
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Physical realization of -symmetric potential scattering in a planar slab waveguide
• 𝓟𝓣-symmetric quantum mechanics
• Stationary states of aPTsymmetric two-mode Bose–Einstein condensate

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