Some advanced chirped pulses for generalized mixed nonlinear Schrödinger dynamical equation
Syed T.R. Rizvi,
Aly R. Seadawy and
Umar Raza
Chaos, Solitons & Fractals, 2022, vol. 163, issue C
Abstract:
In an optical fibre, we investigate the propagation properties of nonlinear periodic waves (PW) for a generalized mixed nonlinear Schrödinger (GMNLS) equation. The Jacobi elliptic (JE) solutions will be used to find the nonlinear chirp. The chirp varies with two intensity-dependent chirping terms are included in the linear section of the pulse chirp. The presence of the newly discovered periodic waves will be discussed in terms of fibre parameter conditions. The long-wave limit generates a wide range of solitary pulse forms, including topological, non topological, dark, kink, hyperbolic and periodic solitary waves (SW). Our findings show that for periodic and solitary waves, a nonlinear chirp obtains. Finally, under finite perturbations, the stability of these nonlinearly chirped solutions will be quantitatively investigated.
Keywords: GMNLS; Jacobi elliptic solutions (JE); Chirped solitary wave (CSW); Solitary wave solitons (SWS) (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:163:y:2022:i:c:s0960077922007664
DOI: 10.1016/j.chaos.2022.112575
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