Results 11 to 20 of about 79 (75)

Construction of Exact Solutions to Partial Differential Equations with CRE Method

open access: yesCommunications in Advanced Mathematical Sciences, 2019
In this article, the consistent Riccati expansion (CRE) method is presented for constructing new exact solutions of (1+1) dimensional nonlinear dispersive modified Benjamin Bona Mahony (DMBBM) and mKdV-Burgers equations.
Arzu Akbulut, Filiz Taşcan
doaj   +1 more source

Integral Comparison Criteria for Half-Linear Differential Equations Seen as a Perturbation

open access: yesMathematics, 2021
In this paper, we present further developed results on Hille–Wintner-type integral comparison theorems for second-order half-linear differential equations.
Zuzana Pátíková
doaj   +1 more source

On Constants in Nonoscillation Criteria for Half-Linear Differential Equations

open access: yesAbstract and Applied Analysis, 2011
We study the half-linear differential equation (r(t)Φ(x′))′+c(t)Φ(x)=0, where Φ(x)=|x|p−2x, p>1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation.
Simona Fišnarová, Robert Mařík
doaj   +1 more source

Oscillation criteria for perturbed half-linear differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
Oscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved
Manabu Naito
doaj   +1 more source

Half-linear Euler differential equation and its perturbations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
We investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and we prove
Ondrej Dosly
doaj   +1 more source

Nonlinearity contributions on critical MKP equation

open access: yesJournal of Taibah University for Science, 2020
The mathematical new plasma wave solutions are specified in the compose of trigonometric, rational, hyperbolic, periodic and explosive kinds that are realistic for Modified-Kadomtsev-Petviashvili (MKP) equation.
H.G. Abdelwahed
doaj   +1 more source

Oscillation and non-oscillation criterion for Riemann–Weber type half-linear differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
By the combination of the modified half-linear Prüfer method and the Riccati technique, we study oscillatory properties of half-linear differential equations.
Petr Hasil, Michal Veselý
doaj   +1 more source

Analyzing the diversity of wave profiles to the stochastic Davey-Stewartson equation: Application in the hydrodynamics engineering

open access: yesAin Shams Engineering Journal
This study investigates the stochastic Davey-Stewartson system with multiplicative noise, an important high-order nonlinear partial differential equation, within Ito calculus framework.
Jan Muhammad   +3 more
doaj   +1 more source

New Soliton Applications in Earth's Magnetotail Plasma at Critical Densities

open access: yesFrontiers in Physics, 2020
New plasma wave solutions of the modified Kadomtsev Petviashvili (MKP) equation are presented. These solutions are written in terms of some elementary functions, including trigonometric, rational, hyperbolic, periodic, and explosive functions.
Hesham G. Abdelwahed   +6 more
doaj   +1 more source

A New Adaptive Fuzzy PID Controller Based on Riccati-Like Equation with Application to Vibration Control of Vehicle Seat Suspension

open access: yesApplied Sciences, 2019
A new controller based on the modified Riccati-like Equation is developed in this paper. The interval type 2 fuzzy model is applied and embedded in the controller to ensure the robustness to parameter uncertainties and also to support calculation ...
Do Xuan Phu, Seung-Bok Choi
doaj   +1 more source

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