Results 31 to 40 of about 3,120 (179)

Construction of complexiton-type solutions using bilinear form of Hirota-type

open access: yes, 2022
In this paper, based on the Hirota bilinear form and the extended transformed rational function method, complexiton solutions have been found of the Hirota–Satsuma–Ito (HSI) equation and generalized Calogero–Bogoyavlenskii–Schiff equation through a ...
Kaplan, Melike, Raza, Nauman
core   +1 more source

Multiple soliton, M-lump and interaction solutions to the (3+1)-dimensional soliton equation

open access: yesResults in Physics, 2023
One of the most effective ways to understand nonlinear quantum systems is with lump solutions. The objective of this study is to acquire more about the (3+1)-dimensional soliton equation.
Hajar F. Ismael   +4 more
doaj   +1 more source

Domain Structure Formation in Designing of the Opened Informative Measuring Systems

open access: yesПриборы и методы измерений, 2022
The opened systems possess an increasing significance and possibilities of applying in designing of measuring devices. Now an essentially nonlinear models are used for such systems. The perturbation approach is not enough for these purposes.
M. A. Knyazev
doaj   +1 more source

Characteristics of the new multiple rogue wave solutions to the fractional generalized CBS-BK equation

open access: yesJournal of Advanced Research, 2022
Introduction: The multiple Exp-function scheme is employed for searching the multiple soliton solutions for the fractional generalized Calogero-Bogoyavlenskii-Schiff-Bogoyavlensky- Konopelchenko equation.
Mingchen Zhang   +4 more
doaj   +1 more source

Perturbation of dispersive optical solitons with Schrödinger–Hirota equation with Kerr law and spatio-temporal dispersion

open access: yes, 2022
Objective: The principal purpose of this paper is to examine the perturbed Schrödinger–Hirota equation with the effect of spatio-temporal dispersion and Kerr law nonlinearity which governs the propagation of dispersive pulses in optical fibers by ...
Bayram, Mustafa   +4 more
core   +1 more source

Hirota-sato formalism on some nonlinear waves equations [PDF]

open access: yes, 2013
This article demonstrates that Hirota’s direct method or scheme for solving nonlinear waves equation is linked to Sato theory, and eventually resulted in the Sato equation.
Abdul Aziz, Zainal, Ali, Noor Aslinda
core   +1 more source

Results relating to Hirota method and singularity analysis on some nonlinear waves equations [PDF]

open access: yes, 2012
This article investigates on the connection between singularity analysis and Hirota method i.e. a direct method to obtain the multi-soliton solutions of nonlinear waves equations.
Chia, Chee Pen, Abd. Aziz, Zainal
core   +1 more source

Integrable nonlocal Hirota equations [PDF]

open access: yes, 2019
We construct several new integrable systems corresponding to nonlocal ver-sions of the Hirota equation, which is a particular example of higher order nonlinearSchrödinger equations.
Julia Cen   +5 more
core   +1 more source

Complexiton solutions to soliton equations by the Hirota method

open access: yes, 2017
We apply the Hirota direct method to construct complexiton solutions (complexitons). The key is to use Hirota bilinear forms. We prove that taking pairs of conjugate wave variables in the 2N-soliton solutions generates N-complexion solutions. The general
Yuan Zhou   +3 more
core   +1 more source

Application of dynamic modelling and model‐based predictive control to enhance a cooling tower

open access: yesThe Canadian Journal of Chemical Engineering, EarlyView.
Model predictive control (MPC) applied to improve the operation of cooling towers. Abstract Model predictive control (MPC) differs from traditional feedback control by making predictions within a time horizon, providing better control actions for the process.
Douglas de Almeida Giardini   +4 more
wiley   +1 more source

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