Propagation of ultra-short optical pulses in cubic nonlinear media

By Tobias Schäfer, C. E. Wayne. 2004

504 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c1e4ac234e924a526d69c207567ea41d8efd7f3d

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

LETTER TO THE EDITOR: Solitary wave solutions of the short pulse equation (2006, methodology): “S I] 9 J an 2 00 The short pulse equation (SPE), which has the form uxt = u+ 1 6 ( u3 ) xx (1) up to scale transformations of its variables, was derived by Schäfer and Wayne [1] as a model equation describing the propagation of ultra-short light pulses in silica optical fibers.”
Nonlinear self-adjointness in constructing conservation laws (2011, background): “10) was suggested in [30] (see there Eq.”
From the Real and Complex Coupled Dispersionless Equations to the Real and Complex Short Pulse Equations (2016, background): “Recently, Schäfer and Wayne derived a short pulse (SP) equation [15] uxt = u + 1 6 (u(3))xx (15)”
Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation (2015, background): “Recently, Schäfer and Wayne derived a short pulse (SP) equation [14]”
Ultra-short pulses in linear and nonlinear media (2004, methodology): “ AND NONLINEAR MEDIA 3 Remark 2.1. In general, the polarization of the medium is modeled as a sum of oscillators, each with its own natural frequency and damping constant. However, as was remarked in [9], for infrared pulses in silica ﬁbers, the polarizability can be accurately modeled with a single”
Nonlinear waves in PT -symmetric systems (2016, unknown): “PT -deformation of yet another model, the short pulse equation uxt = u+ 1 2 (u 2ux)x (Schäfer and Wayne, 2004), was constructed by Yan (2012): i[(iux) σ]t = u+ bu m + ic[un(iux) ε]x. (183) Here parameters b, c, σ, n, m, and ε are all real.”
Well-posedness and small data scattering for the generalized Ostrovsky equation ✩ (2010, background): “On the other hand, the case of p = 3 has gained a considerable momentum in the nonlinear optical community recently, due to its derivation from Maxwell’s equations (under appropriate assumptions) as a model for very short pulse propagation in nonlinear media [8].”
Well-posedness, wave breaking and peakons for a modified μ-Camassa-Holm equation (2014, background): “It is noticed in [25] that the short pulse equation [40] vxt = 1 6 ( v3 ) xx + v is a scale-limit equation of the modified CH equation (1.”
Complex short pulse and coupled complex short pulse equations (2013, methodology): “−(2π)2χ˜(1) 2 E˜ +εNL ω2 c2 E˜ =0. (16) Applying the inverse Fourier transform to (16) yields a single nonlinear wave equation Ezz − 1 c2 1 Ett = 1 c2 2 E + 3 4 χ(3) xxxx |E|2E tt =0. (17) Similar to [7], we focus on only a right-moving wave packet and make a multiple scales ansatz E(z,t)=εE0(φ,z1,z”