Solitary wave and periodic solutions of nonlinear Schrodinger equation including higher order dispersions

OPTICS COMMUNICATIONS

卷:472

Article

Kruglov, Vladimir, I¹ 

[1] Univ Queensland, Ctr Engn Quantum Syst, Sch Math & Phys, Brisbane, Qld 4072, Australia

关键词: Solitons;    Bounded periodic solutions;    Solitary waves;    Higher order dispersion;    Nonlinear Schrodinger equation;   

DOI  :  10.1016/j.optcom.2020.125866

来源: Elsevier

【 摘 要 】

The solitary wave solution and periodic solutions expressed in terms of elliptic Jacobi functions are obtained for the nonlinear Schrodinger equation governing the propagation of pulses in optical fibers including the effects of second, third and fourth order dispersion. The approach is based on the reduction of the generalized nonlinear Schrodinger equation to an ordinary nonlinear differential equation. The periodic solutions obtained form one -parameter family which depend on an integration constant p . The solitary wave solution with sech 2 shape is the limiting case of this family with p = 0. The solutions obtained describe also a train of soliton-like pulses with sech 2 shape. It is shown that the bounded periodic solutions arise for special domains of integration constant.

【 授权许可】

Free