Results 31 to 40 of about 190,015 (291)

Accurate sets of solitary solutions for the quadratic–cubic fractional nonlinear Schrödinger equation

open access: yesAIP Advances, 2021
The analytical and semi-analytical solutions to the quadratic–cubic fractional nonlinear Schrödinger equation are discussed in this research article.
Raghda A. M. Attia   +3 more
doaj   +1 more source

On the Analytical and Numerical Solutions of the Linear Damped NLSE for Modeling Dissipative Freak Waves and Breathers in Nonlinear and Dispersive Mediums: An Application to a Pair-Ion Plasma

open access: yesFrontiers in Physics, 2021
In this work, two approaches are introduced to solve a linear damped nonlinear Schrödinger equation (NLSE) for modeling the dissipative rogue waves (DRWs) and dissipative breathers (DBs). The linear damped NLSE is considered a non-integrable differential
S. A. El-Tantawy   +3 more
doaj   +1 more source

Semi-analytical solutions for the diffusive logistic equation with mixed instantaneous and delayed density dependence

open access: yesAdvances in Difference Equations, 2020
In this work, the semi-analytical solution is studied for the diffusive logistic equation with both mixed instantaneous and delayed density. The domain of reaction–diffusion in one dimension is shown.
H. Y. Alfifi
doaj   +1 more source

Stability analysis for Selkov-Schnakenberg reaction-diffusion system

open access: yesOpen Mathematics, 2021
This study provides semi-analytical solutions to the Selkov-Schnakenberg reaction-diffusion system. The Galerkin method is applied to approximate the system of partial differential equations by a system of ordinary differential equations.
Al Noufaey K. S.
doaj   +1 more source

Faster and Slower Soliton Phase Shift: Oceanic Waves Affected by Earth Rotation

open access: yesMathematics, 2021
This research paper investigates the accuracy of a novel computational scheme (Khater II method) by applying this new technique to the fractional nonlinear Ostrovsky (FNO) equation.
Mostafa M. A. Khater   +1 more
doaj   +1 more source

Semi-analytical solution of the ø4 theory on an F4 lattice [PDF]

open access: yesNuclear Physics B, 1994
36 pages, CU-TP-603, Latex, 3 PS figures included, uuencoded compressed shar ...
openaire   +2 more sources

Semi-analytical solutions for eigenvalue problems of chains and periodic graphs [PDF]

open access: yesApplied Mathematics and Computation, 2021
We first show the existence and nature of convergence to a limiting set of roots for polynomials in a three-term recurrence of the form $p_{n+1}(z) = Q_k(z)p_{n}(z)+ γp_{n-1}(z)$ as $n$ $\rightarrow$ $\infty$, where the coefficient $Q_k(z)$ is a $k^{th}$ degree polynomial, and $z,γ\in \mathbb{C}$.
Hariprasad M., Murugesan Venkatapathi
openaire   +3 more sources

Approximate analytical solutions to nonlinear oscillations via semi-analytical method

open access: yesAlexandria Engineering Journal
A modified algebraic method is proposed in this study as an effective semi-analytical method for obtaining analytical solutions for two types of nonlinear differential equations.
Gamal M. Ismail   +2 more
doaj   +1 more source

Plenty accurate soliton wave solutions of the prototype of an excitable system

open access: yesAIP Advances, 2021
In this paper, the nonlinear fractional Lotka–Volterra model is analyzed and numerically studied. This research is based on applying the three latest analytical schemes and three other numerical schemes to construct rich wave solutions.
S. H. Alfalqi   +4 more
doaj   +1 more source

A semi-analytical approach for the reversible Schnakenberg reaction-diffusion system

open access: yesResults in Physics, 2020
This paper discusses how a semi-analytical approach can be used alongside the reversible Schnakenberg model in a reaction-diffusion cell. It is worth noting that semi-analytical techniques are aligned to the Galerkin method, which offers an approximation
K.S. Al Noufaey
doaj   +1 more source

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