Journal
OPTIK
Volume 238, Issue -, Pages -Publisher
ELSEVIER GMBH
DOI: 10.1016/j.ijleo.2021.166738
Keywords
Radhakrishnan-Kundu-Lakshmanan equation; Arbitrary index; Optical soliton; Periodic wave; Solitary wave
Categories
Funding
- Ministry of Science and Higher Education of the Russian Federation [0723-2020-0036]
- Russian Foundation for Basic Research [18-29-10039]
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In this study, the Radhakrishnan-Kundu-Lakshmanan equation is examined with arbitrary refractive index, and exact solutions are sought using the traveling wave reduction technique. An overdetermined system of equations is introduced for the packet wave envelope, and two compatibility conditions are used to construct solutions of nonlinear ordinary differential equations. Exact solutions in the form of periodic and solitary waves of the generalized Radhakrishnan-Kundu-Lakshmannan equation are provided.
The Radhakrishnan-Kundu-Lakshmanan equation is studied with arbitrary refractive index. The partial differential equation is not integrable and we look for exact solutions using the traveling wave reduction. The overdetermined system of equations is presented for the packet wave envelope. Two compatibility conditions for existence of exact solutions to the overdetermined system of equations are used to construct solutions of nonlinear ordinary differential equations. Exact solutions in the form of periodic and solitary waves of the generalized Radhakrishnan-Kundu-Lakshmannan equation are given.
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