Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Solving bi-directional soliton equations in the KP hierarchy by gauge transformation

Tools
- Tools
+ Tools

He, Jingsong, Cheng, Yi and Roemer, Rudolf A. (2006) Solving bi-directional soliton equations in the KP hierarchy by gauge transformation. Journal of High Energy Physics (Online), Vol.3 . doi:10.1088/1126-6708/2006/03/103

[img]
Preview
PDF
WRAP_Roemer_Solving-bi-drectional.pdf - Requires a PDF viewer.

Download (741Kb)
Official URL: http://dx.doi.org/10.1088/1126-6708/2006/03/103

Request Changes to record.

Abstract

We present a systematic way to construct solutions of the (n = 5)-reduction of the BKP and CKP hierarchies from the general τ function τn+k of the KP hierarchy. We obtain the one-soliton, two-soliton, and periodic solution for the bi-directional Sawada-Kotera (bSK), the bi-directional Kaup-Kupershmidt (bKK) and also the bi-directional Satsuma-Hirota (bSH) equation. Different solutions such as left- and right-going solitons are classified according to the symmetries of the 5th roots of eiε. Furthermore, we show that the soliton solutions of the n-reduction of the BKP and CKP hierarchies with n = 2j+1, j = 1,2,3,..., can propagate along j directions in the 1+1 space-time domain. Each such direction corresponds to one symmetric distribution of the nth roots of eiε. Based on this classification, we detail the existence of two-peak solitons of the n-reduction from the Grammian τ function of the sub-hierarchies BKP and CKP. If n is even, we again find two-peak solitons. Last, we obtain the ``stationary" soliton for the higher-order KP hierarchy.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > Science > Centre for Scientific Computing
Faculty of Science, Engineering and Medicine > Science > Physics
Library of Congress Subject Headings (LCSH): Solitons, Kadomtsev-Petviashvili hierarchy
Journal or Publication Title: Journal of High Energy Physics (Online)
Publisher: Institute of Physics Publishing
ISSN: 1029-8479
Official Date: 31 March 2006
Dates:
DateEvent
31 March 2006Published
Volume: Vol.3
DOI: 10.1088/1126-6708/2006/03/103
Status: Peer Reviewed
Access rights to Published version: Open Access
Funder: China, Guo jia zi ran ke xue ji jin wei yuan hui (China) [National Natural Science Foundation of China] (NSFC), University of Warwick
Grant number: 10301030 (NSFC)

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us