The Library
Solving bi-directional soliton equations in the KP hierarchy by gauge transformation
Tools
He, J.S., Cheng, Y. and Roemer, Rudolf A. (2006) Solving bi-directional soliton equations in the KP hierarchy by gauge transformation. Journal of High Energy Physics (No.3). Article: 103. doi:10.1088/1126-6708/2006/03/103 ISSN 1126-6708.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1088/1126-6708/2006/03/103
Abstract
We present a systematic way to construct solutions of the (n = 5)-reduction of the BKP and CKP hierarchies from the general tau function tau((n+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 e(i epsilon). 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 e(i epsilon). Based on this classification, we detail the existence of two-peak solitons of the n-reduction from the Grammian tau 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 > Physics Faculty of Science, Engineering and Medicine > Science > Centre for Scientific Computing |
||||
Journal or Publication Title: | Journal of High Energy Physics | ||||
Publisher: | Institute of Physics Publishing Ltd. | ||||
ISSN: | 1126-6708 | ||||
Official Date: | March 2006 | ||||
Dates: |
|
||||
Number: | No.3 | ||||
Number of Pages: | 38 | ||||
Page Range: | Article: 103 | ||||
DOI: | 10.1088/1126-6708/2006/03/103 | ||||
Status: | Not Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Funder: | National Natural Science Foundation of China | ||||
Grant number: | 10301030 |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |