Solitary waves, steepening and initial collapse in the Maxwell-Lorentz system

Physica D: Nonlinear Phenomena

Volumn 170, Issue 3-4, 2002, Pages 287-303

  Sørensen, Mads Peter ^a,c   Brio, Moysey ^a   Webb, Garry M ^b   Moloney, Jerome V ^a  

^a The University of Arizona   (United States)

^b UNIVERSITY OF ARIZONA   (United States)

^c TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Initial collapse; Nonlinear optics; Solitary waves; Vector Maxwell's equations

Indexed keywords

LIGHT PROPAGATION; MAXWELL EQUATIONS; SOLITONS;

SOLITARY WAVES;

NONLINEAR OPTICS;

EID: 18844483120     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(02)00538-9     Document Type: Article

References (26)

1. Comparisons between Maxwell's equations and an extended nonlinear Schrödinger equation
2. Numerical solutions of Maxwell's equations for nonlinear-optical pulse propagation
3. Properties and applications of ultra-short electromagnetic mono- and sub-cycle waves
4. Electromagnetic bubbles: Subcycle near-femtosecond and subfemtosecond field solitons
5. Some models of propagation of extremely short electromagnetic pulses in a nonlinear medium
6. Propagation and interaction of ultrashort electromagnetic pulses in nonlinear media with a quadratic-cubic nonlinearity
7. Numerical simulations of light bullets using the full-vector time-dependent nonlinear Maxwell equations
8. (2) soliton interactions
9. Comparison between staggered and unstaggered finite-difference time-domain grids for few-cycle temporal optical soliton propagation
10. Numerical solution of initial boundary problems involving Maxwell's equations in isotropic media
11. Wave collapse in physics: Principles and applications to light and plasma waves
12. Self-focusing and transverse instabilities of solitary waves
13. Collapse arresting in an inhomogeneous quintic nonlinear Schrödinger model
14. Averaged description of wave beams in linear and nonlinear media (the method of moments)
15. On the bowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
16. Electromagnetic shocks on the optical cycle of ultrashort pulses in triple-resonance Lorentz dielectric media with subfemtosecond nonlinear electronic Debye relaxation
17. Resonantly interacting weakly nonlinear hyperbolic waves. I. Single space variable
18. A canonical system of integrodifferential equations arising in resonant nonlinear acoustics