Time-delay and reality conditions for complex solitons

DOI10.1063/1.4978864zbMath1367.37054arXiv1608.01691OpenAlexW3102460939MaRDI QIDQ2974648

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Publication date: 10 April 2017

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

Full work available at URL: https://arxiv.org/abs/1608.01691

zbMATH Keywords

superposition principleBäcklund transformation\(\mathcal{PT}\)-symmetryKorteweg de-Vries equationHirota's direct method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (9)

Regularized degenerate multi-solitons ⋮ Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity ⋮ Conformal bridge transformation, \( \mathcal{PT}\)- and supersymmetry ⋮ Degenerate multi-solitons in the sine-Gordon equation ⋮ Moduli spaces for PT-regularized solitons ⋮ Complex solitons with real energies ⋮ Integrable nonlocal Hirota equations ⋮ Multicomplex solitons ⋮ Complex BPS solitons with real energies from duality

Cites Work

• Vertex operators and soliton time delays in affine Toda field theory
• Regularized degenerate multi-solitons
• Complex solitons with real energies
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• \mathcal {PT}-symmetry breaking in complex nonlinear wave equations and their deformations
• ${ \mathcal P }{ \mathcal T }$ symmetry in quasi-integrable models
• Normal Form of Antiunitary Operators
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• -symmetric extension of the Korteweg-de Vries equation
• -symmetric deformations of the Korteweg-de Vries equation
• Does the complex deformation of the Riemann equation exhibit shocks?
• \mathcal{PT} -symmetric extensions of the supersymmetric Korteweg–de Vries equation
• Integrable models from \mathcal{PT} -symmetric deformations
• On the nature of the Gardner transformation
• The Korteweg–deVries Equation: A Survey of Results
• 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
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• $\mathcal {PT}$-symmetrically deformed shock waves
• Complex $\mathcal {PT}$-symmetric extensions of the nonlinear ultra-short light pulse model

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