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A defocusing complex short pulse equation and its multi-dark soliton solution by Darboux transformation

In this paper, we propose a complex short pulse equation of both focusing and defocusing types, which governs the propagation of ultra-short pulses in nonlinear optical fibers. It can be viewed as an analogue of the nonlinear Schrödinger (NLS) equation in the ultra-short pulse regime. Furthermore, we construct the multi-dark soliton solution for the defocusing complex short pulse equation through the Darboux transformation and reciprocal (hodograph) transformation. One- and two-dark soliton solutions are given explicitly, whose properties and dynamics are analyzed and illustrated.

preprint2016arXivOpen access
Bao-Feng FengLiming LingZuonong Zhu
math-phmath.MPphysics.opticsnlin.SI
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Bao-Feng FengLiming LingZuonong Zhu

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