New integrable model of propagation of the few-cycle pulses in an anisotropic microdispersed medium

DOI10.1016/j.physd.2017.11.012zbMath1381.81181OpenAlexW2773410076MaRDI QIDQ1699423

S. V. Sazonov, Nikolai V. Ustinov

Publication date: 23 February 2018

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2017.11.012

zbMATH Keywords

integrabilitysolitonfew-cycle pulsespermanent dipole moment

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08)

Related Items

Integrable generalizations of the sine-Gordon, short pulse, and reduced Maxwell–Bloch equations

Cites Work

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• Nonlinear transparency regimes for three-component acoustic pulses in a system of electron and nuclear spins
• Integrable models of the dynamics of longitudinal-transverse acoustic pulses in a paramagnetic crystal
• On a class of physically important integrable equations
• Integrable models of transverse and longitudinal acoustic pulses evolution in a paramagnetic crystal with spin \(S=\frac12\) impurities
• The dressing chain of discrete symmetries and proliferation of nonlinear equations
• Propagation of ultra-short optical pulses in cubic nonlinear media
• Complete integrability of the reduced Maxwell-Bloch equations with permanent dipole
• An integrable reduction of inhomogeneously broadened optical equations
• Exact Multi-Soliton Solution of the Modified Sine-Gordon Equation
• A novel multi-component generalization of the short pulse equation and its multisoliton solutions
• General Derivation of Bäcklund Transformations from Inverse Scattering Problems
• On Equations Which Describe Pseudospherical Surfaces
• Bäcklund Transformations and Inverse Scattering Solutions for Some Pseudospherical Surface Equations
• On a novel integrable generalization of the sine-Gordon equation
• Solitary wave solutions of the short pulse equation
• Unidirectional propagation of an ultra-short electromagnetic pulse in a resonant medium with high frequency Stark shift