Complete integrability prolongation structure and Backlund transformation for the Konno-Onno equation

Authors
Das, CK Chowdhury, AR
Citation
Ck. Das et Ar. Chowdhury, Complete integrability prolongation structure and Backlund transformation for the Konno-Onno equation, Z NATURFO A, 55(5), 2000, pp. 545-549
Citations number
9
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
ISSN journal
09320784 → ACNP
Volume
55
Issue
5
Year of publication
2000
Pages
545 - 549
Database
ISI
SICI code
0932-0784(200005)55:5<545:CIPSAB>2.0.ZU;2-8
Abstract
Painleve analysis is used to study the complete integrability of the recent ly proposed Konno-Onno equation, which also leads to a general form of solu tions of the system. An independent study, using the prolongation theory, g ives the explicit form of the Lax pair which is then used to obtain the Bac klund transformation connecting two sets of solutions of the system. The ex istence of the Lax pair and the positive result of the Painleve test indica te the complete integrability of the system.