Results 281 to 290 of about 2,121,946 (336)

Sequel to highly dispersive optical soliton perturbation with cubic-quintic-septic refractive index by semi-inverse variational principle

, 2020
The current work is a generalization of previously reported results on highly dispersive optical solitons with cubic-quintic-septic law of refractive index that was studied with perturbation terms having cubic nonlinearity.
R. Kohl, A. Biswas, M. Ekici, Qin Zhou, Salam Khan, A. Alshomrani, M. Belić   +6 more
semanticscholar   +1 more source

Trajectory control and vibration suppression of rigid‐flexible parallel robot based on singular perturbation method

Asian journal of control, 2022
To accurately, stably, and efficiently control the complex rigid‐flexible coupled robot, this paper takes Delta robot as the study object and decomposes it into slow subsystem and fast subsystem in different timescales by using singular perturbation ...
Kunming Zheng, Qiuju Zhang, Shuisheng Zeng   +2 more
semanticscholar   +1 more source

Cubic-quartic optical soliton perturbation by semi-inverse variational principle

Optik (Stuttgart), 2019
This paper secures bright optical solitons in presence of third and fourth order dispersion terms while group velocity dispersion term is absent. The perturbation terms that are included appear with full nonlinearity.
R. Kohl, A. Biswas, M. Ekici, Qin Zhou, S. Moshokoa, M. Belić   +5 more
semanticscholar   +1 more source

Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star

Communications in Mathematical Physics, 1973
Brandon Carter, Carter Brandon
exaly   +2 more sources

A practical method for estimating high-energy X-ray spectra using the iterative perturbation principle proposed by Waggener

Radiation Physics and Chemistry, 2003
Mamoru Kubota, Yoshinao Abe
exaly   +2 more sources

Highly dispersive optical soliton perturbation with Kerr law by semi-inverse variational principle

Optik (Stuttgart), 2019
In this paper, the art of semi-inverse variational principle is employed to retrieve highly dispersive bright optical solitons to the governing model, with perturbation terms, having Kerr nonlinearity.
R. Kohl, A. Biswas, M. Ekici, Qin Zhou, Salam Khan, A. Alshomrani, M. Belić   +6 more
semanticscholar   +1 more source

P1: Principles of Perturbations

2021
There are several important mathematical preliminaries which are needed in perturbation methods and solution of differential equations. Gauge functions, order symbols, perturbation coefficient and splitting differential equations into linear and nonlinear terms, principle of perturbation solution, and review of weighted residual methods will be covered
openaire   +1 more source

Highly dispersive optical soliton perturbation with cubic–quintic–septic refractive index by semi-inverse variational principle

Optik (Stuttgart), 2019
This paper obtains highly dispersive perturbed bright 1-soliton solution with cubic–quintic–septic nonlinearity by the aid of semi-inverse variational principle.
R. Kohl, A. Biswas, M. Ekici, Qin Zhou, Salam Khan, A. Alshomrani, M. Belić   +6 more
semanticscholar   +1 more source

Chirp-free bright optical soliton perturbation with Chen–Lee–Liu equation by traveling wave hypothesis and semi-inverse variational principle

Optik (Stuttgart), 2018
Chirp-free bright optical soliton solutions are obtained for Chen–Lee–Liu equation by traveling wave hypothesis as well as the application of semi-inverse variational principle.
A. Biswas
semanticscholar   +1 more source

Soliton Perturbations: A Variational Principle for the Soliton Parameters

Physica Scripta, 1979
A variational perturbation method is developed to study the evolution of a single soliton in the presence of small perturbations. Adiabatic evolution equations for the parameters of the soliton are derived to first order in the perturbation without employing methods or results from the inverse scattering theory. The analysis accounts for the effects of
Bondeson, A., Lisak, M., Anderson, D.
openaire   +2 more sources