On some single-hump solutions of the short-pulse equation and their periodic generalizations

DOI10.1016/J.PHYSLETA.2010.05.014zbMath1248.35198OpenAlexW2026317902MaRDI QIDQ455239

Panayotis G. Kevrekidis, Avadh Saxena, Dimitrios J. Frantzeskakis, Nathaniel Whitaker, Floyd L. Williams, Yannan Shen

Publication date: 4 October 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.05.014

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (3)

A note on loop-soliton solutions of the short-pulse equation ⋮ Some new Jacobi elliptic function solutions for the short-pulse equation via a direct symbolic computation method ⋮ A robust numerical integrator for the short pulse equation near criticality

Uses Software

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Cites Work

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• Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials
• Existence of multi-pulses of the regularized short-pulse and Ostrovsky equations
• Wave breaking in the short-pulse equation
• A gallery of constant-negative-curvature surfaces
• Propagation of ultra-short optical pulses in cubic nonlinear media
• Ultra-short pulses in linear and nonlinear media
• The short pulse hierarchy
• The Short Pulse Equation Is Integrable
• Integrable discretizations of the short pulse equation
• Solitary wave solutions of the short pulse equation

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