Soliton hình dạng bất thường (2+1) chiều trong sợi quang học

Springer Science and Business Media LLC - Tập 56 Số 4 - Trang 1-18 - 2024
Mukherjee, Abhik1
1Department of Physics, School of Basic Sciences, Manipal University Jaipur, Jaipur, India

Tóm tắt

Trong bài báo này, một số nghiệm soliton chính xác, bất thường và topo của phương trình Kundu–Mukherjee–Naskar (KMN) đã được xác deriv. Những nghiệm soliton này có thể có hình dạng bất thường như soliton hình chữ U, soliton hình chữ W, soliton ba u, soliton tuần hoàn, v.v. trên mặt phẳng $$x-y$$. Tính chất này là khá bất thường đối với các hệ tích phân, vì thường thì soliton di chuyển dọc theo một đường thẳng với biên độ và vận tốc không đổi. Tính chất uốn cong của soliton trên mặt phẳng $$x-y$$ xảy ra do sự hiện diện của một hàm phi tuyến tùy ý trong đối số của nghiệm. Hàm tùy ý như vậy trong nghiệm soliton có thể tồn tại do tính phi tuyến hiện tại và tính tương đối Galilean có mặt trong phương trình KMN. Những nghiệm này là khá hiếm gặp trong lĩnh vực các hệ tích phân; có thể được sử dụng để cải thiện mô hình toán học của các hệ vật lý, làm phong phú lĩnh vực quang phi tuyến.

Từ khóa

#soliton bất thường #phương trình KMN #sợi quang học #hệ tích phân #quang phi tuyến

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