Bilinearization and soliton solutions of the N=1 supersymmetric sine-Gordon equation

Authors
Grammaticos, B Ramani, A Carstea, AS
Citation
B. Grammaticos et al., Bilinearization and soliton solutions of the N=1 supersymmetric sine-Gordon equation, J PHYS A, 34(23), 2001, pp. 4881-4886
Citations number
12
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
23
Year of publication
2001
Pages
4881 - 4886
Database
ISI
SICI code
0305-4470(20010615)34:23<4881:BASSOT>2.0.ZU;2-0
Abstract
We obtain the bilinear form of the supersymmetric sine-Gordon equation. Thr ough the Hirota approach we contruct multisoliton solutions for this equati on. We find that, in contrast to the purely bosonic case, the solitons are 'dressed' through their mutual interaction and we compute this dressing exp licitly. Using the Ablowitz, Ramani and Segur algorithm we verify that the supersymmetric sine-Gordon equation possesses the Painleve property.