Nonlinear wave modulation in nanorods using nonlocal elasticity theory
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter de Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, nonlinear wave modulation in nanorods is examined on the basis of nonlocal elasticity theory. Eringen's nonlocal elasticity theory is employed to derive nonlinear equations for the motion of nanorods. The analysis of the modulation of axial waves in nonlocal elastic media is performed, and the reductive perturbation method is used for the solution of the nonlinear equations. The propagation of weakly nonlinear and strongly dispersive waves is investigated, and the nonlinear Schrodinger (NLS) equation is acquired as an evolution equation. For the purpose of a numerical investigation of the nonlocal impacts on the NLS equation, it has been investigated whether envelope solitary wave solutions exist by utilizing the physical and geometric features of the carbon nanotubes. Amplitude dependent wave frequencies, phase and group velocities have been obtained and they have compared for the linear local, the linear nonlocal, the nonlinear local and the nonlinear nonlocal cases.
Açıklama
Aydogdu, Metin (Trakya author)
Gul, Ufuk (Trakya author)
Anahtar Kelimeler
Nanorods, Nonlocal Elasticity, Wave Modulation, Reductive Perturbation Technique, Thermal-Mechanical Vibration, Longitudinal Magnetic-Field, Walled Carbon Nanotube, Propagation, Instability, Model, Equations, Media
Kaynak
International Journal of Nonlinear Sciences and Numerical Simulation
WoS Q Değeri
Q3
Scopus Q Değeri
N/A
Cilt
19
Sayı
7-8
Künye
Gaygusuzoglu, G., Aydogdu, M., & Gul, U. (2018). Nonlinear Wave Modulation in Nanorods Using Nonlocal Elasticity Theory. International Journal of Nonlinear Sciences and Numerical Simulation, 19(7-8), 709-719.
