Higher-order corrections to the short-pulse equation

DOI10.1088/1751-8113/46/28/285205zbMath1291.35380arXiv1205.1343OpenAlexW3106259558MaRDI QIDQ2851176

Levent Kurt, Tobias Schäfer, Yeojin Chung

Publication date: 10 October 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1343

zbMATH Keywords

solitonsrenormalization groupMaxwell's equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08)

Related Items (6)

Darboux transformation and soliton solutions of the spatial discrete coupled complex short pulse equation ⋮ Multi-soliton solutions and the Cauchy problem for a two-component short pulse system ⋮ Wellposedness of bounded solutions of the non-homogeneous initial boundary for the short pulse equation ⋮ Propagation of ultra-short solitons in stochastic Maxwell's equations ⋮ A robust numerical integrator for the short pulse equation near criticality ⋮ Darboux transformation of two novel two-component generalized complex short pulse equations

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