Related Experiment Video
Updated: Feb 24, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Trigonal curves and algebro-geometric solutions to soliton hierarchies II
Wen-Xiu Ma1,2,3,4
1Department of Mathematics, Zhejiang Normal University, Jinhua 321004, People's Republic of China.
Abstract:
This is a continuation of a study on Riemann theta function representations of algebro-geometric solutions to soliton hierarchies. In this part, we straighten out all flows in soliton hierarchies under the Abel-Jacobi coordinates associated with Lax pairs, upon determining the Riemann theta function representations of the Baker-Akhiezer functions, and generate algebro-geometric solutions to soliton hierarchies in terms of the Riemann theta functions, through observing asymptotic behaviours of the Baker-Akhiezer functions. We emphasize that we analyse the four-component AKNS soliton hierarchy in such a way that it leads to a general theory of trigonal curves applicable to construction of algebro-geometric solutions of an arbitrary soliton hierarchy.
More Related Videos
11:00Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
Published on: July 19, 2016
16:01An Experimental Protocol for Assessing the Performance of New Ultrasound Probes Based on CMUT Technology in Application to Brain Imaging
Published on: September 24, 2017
Related Concept Videos
Orthogonal Trajectories
Curve Equations
Hyperbolic and Inverse Hyperbolic Functions: Problem Solving
Horizontal Curve: Problem Solving
Arc Length of a Curve: Problem Solving
Area Between Curves: Problem Solving