# Self-steepening of ultrashort optical pulses without self-phase-modulation

@inproceedings{Moses2007SelfsteepeningOU, title={Self-steepening of ultrashort optical pulses without self-phase-modulation}, author={Jeffrey Moses and Boris A. Malomed and Frank W. Wise}, year={2007} }

A first optical manifestation of the Chen-Lee-Liu-type derivative nonlinear Schroedinger equation results in self-steepening of ultrashort pulses and shock formation without simultaneous self-phase modulation. Experiments verify theory.

## 11 Citations

Modulational instability characteristics for few cycle pulse propagation in cascaded-quadratic-cubic-quintic nonlinear media

- Physics2015 International Conference on Microwave, Optical and Communication Engineering (ICMOCE)
- 2015

Using phase amplitude ansatz method and standard linear stability analysis, we have investigated modulational instability (MI) for the ultrashort pulse propagation in cascaded quadratic-cubic-quintic…

Ultrafast temporal pulse shaping via phase-sensitive three-wave mixing.

- PhysicsOptics express
- 2010

It is found that the use of phase-sensitive OPA shows a potential for significant compression of approximately 100 fs pulses, steepening of the rise time of ultrashort pulses, and production of pulse doublets and pulse trains.

S I ] 1 1 A pr 2 01 5 DARBOUX TRANSFORMATION OF THE SECOND-TYPE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION

- Mathematics
- 2018

The second-type derivative nonlinear Schrödinger (DNLSII) equation was introduced as an integrable model in 1979. Very recently, the DNLSII equation has been shown by an experiment to be a model of…

Local Structure of Singular Profiles for a Derivative Nonlinear Schrödinger Equation

- MathematicsSIAM J. Appl. Dyn. Syst.
- 2017

The Derivative Nonlinear Schrodinger equation is described by a universal profile that solves a nonlinear elliptic eigenvalue problem depending only on the strength of the nonlinearity.

The Kerr nonlinearity of the beta-barium borate crystal

- Physics2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC
- 2013

A popular crystal for ultrafast cascading experiments is beta-barium-borate (β-BaB<sub>2</sub>O<sub>4</sub>, BBO). It has a decent quadratic nonlinear coefficient, and because the crystal is…

Title Periodic solutions of a derivative nonlinear Schrödingerequation : Elliptic integrals of the third kind

- Mathematics
- 2011

The nonlinear Schrödinger equation (NLSE) is an important model for wave packet dynamics in hydrodynamics, optics, plasma physics and many other physical disciplines. The ‘derivative’ NLSE family…

Analytical and Numerical Results for Some Classes of Nonlinear Schrödinger Equations

- Mathematics, Physics
- 2013

Analytical and numerical results for some classes of nonlinear Schrödinger equations Xiao Liu Doctor of Philosophy Graduate Department of Mathematics University of Toronto 2013 This thesis is devoted…

Instability of the solitary waves for the generalized derivative nonlinear Schr\"odinger equation in the degenerate case

- Mathematics
- 2018

In this paper, we develop the modulation analysis, the perturbation argument and the Virial identity similar as those in \cite{MartelM:Instab:gKdV} to show the orbital instability of the solitary…

Global Well-Posedness on a generalized derivative nonlinear Schr\"odinger equation

- Mathematics
- 2016

We prove global well-posedness for a generalized derivative nonlinear Schr\"odinger equation (gDNLS) by a variational argument. The variational argument is applicable to a cubic derivative nonlinear…

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