Optical soliton perturbation with fractional temporal evolution by extended modified auxiliary equation mapping
نویسندگان
چکیده
منابع مشابه
Soliton Perturbation Theory for the Gardner Equation
The adiabatic parameter dynamics of solitons due to Gardner’s equation is obtained, in presence of the perturbation terms, by the aid of soliton perturbation theory. In addition, the integrals of motion are evaluated as well as the variation of the velocity is obtained due to these perturbation terms. Mathematics Subject Classification: 35Q51, 35Q53, 37K10 PACS Codes: 02.30.Jr, 02.30.Ik 788 A. ...
متن کاملHomotopy perturbation method for solving fractional Bratu-type equation
In this paper, the homotopy perturbation method (HPM) is applied to obtain an approximate solution of the fractional Bratu-type equations. The convergence of the method is also studied. The fractional derivatives are described in the modied Riemann-Liouville sense. The results show that the proposed method is very ecient and convenient and can readily be applied to a large class of fractional p...
متن کاملExistence of Mild Solutions to a Cauchy Problem Presented by Fractional Evolution Equation with an Integral Initial Condition
In this article, we apply two new fixed point theorems to investigate the existence of mild solutions for a nonlocal fractional Cauchy problem with an integral initial condition in Banach spaces.
متن کاملNonlinear transversely vibrating beams by the homotopy perturbation method with an auxiliary term
This paper presents the high order frequency-amplitude relationship for nonlinear transversely vibrating beams with odd and even nonlinearities, using Homotopy Perturbation Method with an auxiliary term (HPMAT). The governing equations of vibrating buckled beam, beam carrying an intermediate lumped mass, and quintic nonlinear beam are investigated to exhibit the reliability and ability of the p...
متن کاملSoliton Perturbation Theory for the Generalized Kawahara Equation
Department of Physics and Pre-Engineering Center for Research and Education in Optical Sciences and Applications Delaware State University, Dover, DE 19901-2277, USA Abstract The adiabatic parameter dynamics of solitons, due to the generalized Kawahara equation are obtained in this paper. The soliton perturbation theory is exploited to obtain the results. Also, the change in the velocity is obt...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Revista Mexicana de Física
سال: 2021
ISSN: 2683-2224,0035-001X
DOI: 10.31349/revmexfis.67.403