Defocusing complex short-pulse equation and its multi-dark-soliton solution.
In this paper, we propose a complex short-pulse equation of both focusing and defocusing types, which governs the propagation of ultrashort pulses in nonlinear optical fibers. It can be viewed as an analog of the nonlinear Schrödinger (NLS) equation in the ultrashort-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.
School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley, Edinburg, Texas 78539, USA.
Bao-Feng
BF
Feng
School of Mathematics, South China University of Technology, Guangzhou 510640, China.
Liming
L
Ling
Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China.
Zuonong
Z
Zhu