Chirped self-similar pulses and envelope solutions for a nonlinear Schrödinger's in optical fibers using Lie group method
Yükleniyor...
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Özet
In this work, we present an application of Lie group analysis to study the generalized derivative nonlinear Schrodinger ¨ equation, which governs the evolution of a nonlinear wave and plays an important role in the propagation of short pulses in optical fiber systems. To construct Lie group reductions, we study the symmetry properties and introduce various infinitesimal operators. Further, we obtain self-similar solutions and periodic soliton solutions of the generalized derivative nonlinear Schrodinger ¨ equation. This type of solution plays a vital role in the study of the blow-up and asymptotic behavior of non-global solutions. And at the end, we present graphs for each solution by considering the physical meaning of the solutions.
Açıklama
Anahtar Kelimeler
Lie groups Nonlinear Schrodinger ¨ equations Self-similar solutions
Kaynak
Chaos, Solitons and Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
N/A
