A defocusing complex short pulse equation and its multi-dark soliton solution by Darboux transformation
arXiv:1511.00945 · doi:10.1103/PhysRevE.93.052227
Abstract
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.
Accepted by Phys.Rev.E, 13 pages, 4 figures
References in corpus (2)
Cited by in corpus (10)
- Multi-soliton, multi-breather and higher-order rogue wave solutions to the complex short pulse equation
- Darboux transformation and solitonic solution to the coupled complex short pulse equation
- Localized excitations and interactional solutions for the reduced Maxwell-Bloch equations
- Breathers and solitons on two different backgrounds in a generalized coupled Hirota system with four wave mixing
- Soliton interactions and Yang-Baxter maps for the complex coupled short-pulse equation
- Discontinuous Galerkin methods for short pulse type equations via hodograph transformations
- General soliton solutions to a coupled Fokas-Lenells equation
- A focusing and defocusing semi-discrete complex short pulse equation and its varioius soliton solutions
- Geometric formulation and multi-dark soliton solution to the defocusinig complex short pulse equation
- A coupled focusing-defocusing complex short pulse equation: multisoliton, breather, and rogue wave