Dark solitons of the Qiao's hierarchy

Abstract

We obtain a class of soliton solutions of the integrable hierarchy which has been put forward in a series of works by Z. Qiao. The soliton solutions are in the class of real functions approaching constant value fast enough at infinity, the so-called 'dark solitons'.

arXiv comment11 pages, 2 figures

References in corpus (4)

• An integrable shallow water equation with peaked solitons
• Integrable system with peakon, weak kink, and kink-peakon interactional solutions
• Smooth soliton solutions of a new integrable equation by Qiao
• N-soliton solutions of an integrable equation studied by Qiao

Cited by in corpus (6)

• Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation
• Smooth and singular multisoliton solutions of a modified Camassa-Holm equation with cubic nonlinearity and linear dispersion
• Bäcklund transformation and smooth multisoliton solutions for a modified Camassa-Holm equation with cubic nonlinearity
• Smooth multisoliton solutions and their peakon limit of Novikov's Camassa-Holm type equation with cubic nonlinearity
• A view of the peakon world through the lens of approximation theory
• Integrable negative flows of the Heisenberg ferromagnet equation hierarchy