Modeling ultrashort electromagnetic pulses with a generalized Kadomtsev-Petviashvili equation

DOI10.1016/j.physd.2017.11.010zbMath1381.78011OpenAlexW2771544537MaRDI QIDQ1699431

A. Hofstrand, Jerome V. Moloney

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.2017.11.010

zbMATH Keywords

nonlinear opticsfilamentationKadomtsev-Petviashvili equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Lasers, masers, optical bistability, nonlinear optics (78A60)

Cites Work

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• Laser filamentation. Mathematical methods and models
• Numerical study of blow-up in solutions to generalized Kadomtsev-Petviashvili equations
• Exponential time differencing for stiff systems
• Propagation of ultra-short optical pulses in cubic nonlinear media
• Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations
• Self-Focusing in the Damped Nonlinear Schrödinger Equation
• Traveling waves of the regularized short pulse equation
• An extension of the steepest descent method for Riemann-Hilbert problems: The small dispersion limit of the Korteweg-de Vries (KdV) equation
• Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation
• Fourth-Order Time-Stepping for Stiff PDEs

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