Novel wave solutions to a generalized third-order nonlinear Schrödinger's equation
Yükleniyor...
Dosyalar
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier B.V.
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Schrödinger's equation and its variants play an important role in describing many well-known problems in disciplines such as mathematics and physics. Our main concern in this paper is to investigate some novel analytical solutions to a third-order generalized nonlinear Schrödinger's equation. This equation is used to model the motion of ultra-short pulses in optical fibers. The model also includes several arbitrary parameters that introduce several well-known nonlinear models as its special case. The main achievements of the paper are determined via two efficient methodologies based upon the modified generalized exponential rational function method and a logarithmic transformation approach. In order to better examine the results, three-dimensional diagrams obtained from analytical answers have been attached to the article. These diagrams are useful tools that facilitate a better description of the capabilities of this model. One of the advantages of the method used in this research over some other techniques is that it is possible to adapt the implemented algorithm to solve other complex new problems. © 2022 The Authors
Açıklama
Anahtar Kelimeler
mGERFM, Nonlinear Schrödinger's Equation, Numerical Simulations, Transformation Approach;, Wave Structures
Kaynak
Results in Physics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
37
Sayı
Künye
Liu, S., Rezaei, S., Najati, S. A., & Mohamed, M. S. (2022). Novel wave solutions to a generalized third-order nonlinear schrödinger's equation. Results in Physics, 37 doi:10.1016/j.rinp.2022.105457
