Multisoliton solutions and integrability aspects of coupled nonlinear Schrodinger equations

Abstract

Using Painleve singularity structure analysis, we show that coupled higher-order nonlinear Schrodinger (CHNLS) equations admit Painleve property. Using the results of Painleve analysis, we succeed in Hirota bilinearizing the CHNLS equations, one soliton and two soliton solutions are explictly obtained. Lax pairs are explictly constructed.

Eight pages and six figures. Physical Review E (to be appear)

References in corpus (1)

• Optical Solitary Waves in the Higher Order Nonlinear Schrodinger Equation

Cited by in corpus (3)

• The Sasa-Satsuma higher order nonlinear Schrodinger equation and its bilinearization and multi-soliton solutions
• The nonlinear steepest descent approach for long time behavior of the two-component coupled Sasa-Satsuma equation with a $5\times 5$ Lax pair
• Gauge equivalence among quantum nonlinear many body systems