Solitary wave solutions of the short pulse equation

2006/01/09 by Anton Sakovich, Sergei Sakovich · 7 citations
Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.MP #nlin.PS #nlin.SI #physics.optics

paper · pdf · doi:10.1088/0305-4470/39/22/l03

published as J. Phys. A: Math. Gen. 39 (2006) L361-L367 · 7 pages, 14 figures

arxiv created 2006/01/09 · openalex publication_date 2006/05/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An exact nonsingular solitary wave solution of the Schafer-Wayne short pulse equation is derived from the breather solution of the sine-Gordon equation by means of a transformation between these two integrable equations.

Citations

• The Short Pulse Equation Is Integrable
• Propagation of ultra-short optical pulses in cubic nonlinear media

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