Multisoliton solutions and integrability aspects of coupled higher-order nonlinear Schrodinger equations

Citation
Mn. Vinoj et Vc. Kuriakose, Multisoliton solutions and integrability aspects of coupled higher-order nonlinear Schrodinger equations, PHYS REV E, 62(6), 2000, pp. 8719-8725
Citations number
26
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
62
Issue
6
Year of publication
2000
Part
B
Pages
8719 - 8725
Database
ISI
SICI code
1063-651X(200012)62:6<8719:MSAIAO>2.0.ZU;2-Q
Abstract
Using Painleve singularity structure analysis, we show that coupled higher- order nonlinear Schrodinger (CHNLS) equations admit the Painleve property. Using the results of the Painleve analysis, we succeed in Hirota bilineariz ing the CHNLS equations for the integrable cases. Solving the Hirota biline ar equations, one soliton and two soliton solutions are explicitly obtained . Lax pairs are explicitly constructed.