Chirped optical soliton perturbation of Fokas–Lenells equation with full nonlinearity

Advances in Difference Equations

article

Al-Ghafri, K. S.¹  Krishnan, E. V.²  Biswas, Anjan³ 

[1] Ibri College of Applied Sciences, Ministry of Higher Education;Department of Mathematics and Statistics, Sultan Qaboos University;Department of Physics, Alabama A&M University;Department of Mathematics, King Abdulaziz University;Department of Applied Mathematics, National Research Nuclear University;Department of Mathematics and Statistics, Tshwane University of Technology

关键词: Chirped solitons;    Fokas–Lenells equation with full nonlinearity;    Auxiliary equation method;   

DOI  :  10.1186/s13662-020-02650-9

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

The present paper focuses on the chirped soliton solutions of the Fokas–Lenells equation in the presence of perturbation terms. A complex envelope traveling-wave solution is used to reduce the governing equation to an ordinary differential equation (ODE). An auxiliary equation in the form of a first-order nonlinear ODE with six-degree terms is implemented as a solution method. Various types of chirped soliton solutions including bright, dark, kink and singular solitons are extracted. The associated chirp is also determined for each of these optical pulses. Restrictions for the validity of chirped soliton solutions are presented.

【 授权许可】

CC BY