Solitary wave solutions of the short pulse equation

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.

arXiv comment7 pages, 14 figures

References in corpus (3)

• The short pulse equation is integrable
• Ultra-short pulses in linear and nonlinear media
• The Bi-Hamiltonian Structure of the Short Pulse Equation

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