On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation
Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions are encountered corresponding to the angle θ being 0, π/2 or taking any value i...
Main Authors: | Henrik Aratyn, Jose Francisco Gomes, Abraham H. Zimerman |
---|---|
Format: | Article |
Language: | English |
Published: |
National Academy of Science of Ukraine
2006-10-01
|
Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Subjects: | |
Online Access: | http://www.emis.de/journals/SIGMA/2006/Paper070/ |
Similar Items
-
On weak solutions to a generalized Camassa–Holm equation with solitary wave
by: Yunxi Guo
Published: (2020-01-01) -
Exact kink wave solutions and peakons of a generalized Camassa–Holm equation
by: Ming Song, et al.
Published: (2022-05-01) -
Global weak solutions of nonlinear rotation-Camassa-Holm model
by: Zheng Dou, et al.
Published: (2023-04-01) -
New periodic exact traveling wave solutions of Camassa–Holm equation
by: Guoping Zhang
Published: (2022-12-01) -
The Cauchy problem for coupled system of the generalized Camassa-Holm equations
by: Sen Ming, et al.
Published: (2022-06-01)