Các cấu trúc giống dromion và giải pháp sóng tuần hoàn cho phương trình Ginzburg–Landau phức tạp bậc ba-bậc năm với hệ số biến thiên chịu ảnh hưởng của các hiệu ứng bậc cao và tăng phi tuyến

Springer Science and Business Media LLC - Tập 99 - Trang 1313-1319 - 2019
Yuanyuan Yan1, Wenjun Liu1, Qin Zhou2, Anjan Biswas3,4,5
1State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, People’s Republic of China
2School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, People’s Republic of China
3Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, USA
4Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
5Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria, South Africa

Tóm tắt

Trong nghiên cứu này, phương trình Ginzburg–Landau phức tạp bậc ba-bậc năm có hệ số biến thiên (CCQGLE) chịu ảnh hưởng của các hiệu ứng bậc cao và tăng phi tuyến được xem xét. Dựa trên phương pháp không đối xứng, giải pháp phân tích một soliton cho CCQGLE có hệ số biến thiên được xây dựng lần đầu tiên. Bên cạnh đó, với một số điều kiện nhất định, sóng tuần hoàn và các cấu trúc giống dromion được suy diễn. Các kết quả thu được có thể hữu ích trong việc hiểu rõ hơn về khuếch đại soliton và quản lý soliton trong sợi quang.

Từ khóa

#Ginzburg–Landau equation #nonlinear gain #soliton solutions #optical fiber #dromion-like structures

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