Families of exact similaritons with flexible modulations in N-coupled homogeneous and inhomogeneous systems

• Published in: Physics letters. A Vol. 527; p. 129997
• Main Authors: Huo, Kui, Li, Bin, Jia, Heping, Christian, J.M., Yang, Rongcao
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15-12-2024
• Subjects: Amplitude coding; Coupled homogeneous and inhomogeneous system; Similariton modulation; Soliton; Amplitude coding; Coupled homogeneous and inhomogeneous system; Soliton; Similariton modulation
• ISSN: 0375-9601
• DOI: 10.1016/j.physleta.2024.129997

•A family of exact solutions are derived for N-CNLS under the constraints of amplitude and coupling coefficients.•The bright solutions with the constraints can be used to design amplitude coding sequences.•By introducing free parameters in self-similar transformation, families of similaritons are constructed for N-CINLS equations.•Diverse and novel modulations of similaritons in 2-CINLS systems are presented due to the novel transformation.
In this paper, a family of exact solutions to N-coupled nonlinear Schrödinger (N-CNLS) equations including bright and dark solitons, Akhmediev breathers, Kuznetsov-Ma breathers, and rogue waves are derived with the aid of a generic nonlinear wave assumption. As an application of the solutions, we present a scheme to realize amplitude coding in an identical waveguide system. Furthermore, by a general self-similar transformation method, exact controllable similaritons of N-coupled inhomogeneous NLS (N-CINLS) equations are constructed under relaxed compatibility conditions. Flexible modulations of similaritons are investigated in a typical inhomogeneous system. Based on the general self-similar transformation, we further study various and novel modulations of composite similariton of 2-CINLS regimes. The various similaritons presented here may be expected to find application in the control and transmission of nonlinear waves in realizable complex systems including those based on optical fibers and Bose-Einstein condensates.