N-bright-bright and N-dark-dark solitons of the coupled generalized nonlinear Schrodinger equations

摘要

We construct N-bright-bright and N-dark-dark soliton solutions of an integrable two coupled generalized nonlinear Schrodinger (CGNLS) equation for arbitrary values of system parameters. These solutions are more general than the reported one. While the bright bright solitons are captured in the focusing regime of CGNLS equation, the dark-dark soli ton solutions are identified in the defocusing regime. We present N-bright-bright solitons in the Gram determinant forms and prove that these determinant forms satisfy the Hirota bilinear equations. (C) 2016 Elsevier B.V. All rights reserved.