Results 21 to 30 of about 9,306,135 (233)

Novel Particular Solutions, Breathers, and Rogue Waves for an Integrable Nonlocal Derivative Nonlinear Schrödinger Equation

open access: yesAdvances in Mathematical Physics, 2022
A determinant representation of the n-fold Darboux transformation for the integrable nonlocal derivative nonlinear Schödinger (DNLS) equation is presented.
Yali Shen, Ruoxia Yao
doaj   +1 more source

Spatiotemporal jumps as particular solutions in geodesic trajectories with the Gödel metric on an extended manifold

open access: yesEuropean Physical Journal C: Particles and Fields, 2022
Using the Gödel metric, we obtain some relevant solutions compatible with spatiotemporal jumps for the geodesic equations, by using an extension of General Relativity with nonzero boundary terms, which are described on an extended manifold generated by ...
Mauricio Bellini
doaj   +1 more source

A Space–Time Collocation Method Using the Method of Particular Solutions with Polynomial Basis Functions for Solving the Fisher–KPP Equation

open access: yesMathematics
The method of particular solutions (MPS) has been widely applied for solving various types of partial differential equations. In this paper, the space–time collocation technique is implemented using MPS with polynomial basis functions (MPS-PBF) to solve ...
Thir Dangal   +2 more
doaj   +1 more source

Shifted nonlocal Kundu type equations: Soliton solutions

open access: yesPartial Differential Equations in Applied Mathematics, 2022
We study the shifted nonlocal reductions of the integrable coupled Kundu type system. We then consider particular cases of this system; namely Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell systems.
Aslı Pekcan
doaj   +1 more source

A Particular Solutions for a Two-Phase Model with a Sharp Interface

open access: yesBiomath, 2015
Two-phase models can be used to describe the dynamics of mixed materials and can be applied to many physical and biological phenomena. For example, these types of models have been used to describe the dynamics of cancer, biofilms, cytoplasm, and ...
David Allen Ekrut, Nicholas G. Cogan
doaj   +1 more source

Exact Partial Solution in a Form of Convex Tetragons Interacting According to the Arbitrary Law for Four Bodies

open access: yesRUDN Journal of Engineering Research
We prove the existence of exact partial solutions in the form of convex quadrilaterals in the general problem of four bodies mutually acting according to an arbitrary law ~1/rк , where k ≥ 2.
Yulianna V. Perepelkina
doaj   +1 more source

Two-dimensional convection—diffusion problem solved using method of localized particular solutions

open access: yesMATEC Web of Conferences, 2017
A meshless local method of approximated particular solutions (LMAPS) is used to analyze problem described by the convection-diffusion equation. The method solves the steady convection-diffusion equation with reaction term.
Mužík Juraj, Holičková Martina
doaj   +1 more source

New Solutions for the Generalized BBM Equation in terms of Jacobi and Weierstrass Elliptic Functions

open access: yesAbstract and Applied Analysis, 2021
The Jacobi elliptic function method is applied to solve the generalized Benjamin-Bona-Mahony equation (BBM). Periodic and soliton solutions are formally derived in a general form. Some particular cases are considered.
Alvaro H. Salas   +2 more
doaj   +1 more source

A Method of Qualitative Analysis for Determining Monotonic Stability Regions of Particular Solutions of Differential Equations of Dynamic Systems

open access: yesMathematics, 2023
Developing stability analysis methods for modern dynamical system solutions has been a significant challenge in the field. This study aims to formulate a qualitative analysis approach for the monotone stability region of a specific solution to a single ...
Vladislav V. Lyubimov
doaj   +1 more source

Bridging the Loneliness Gap: Depression, Connectivity, and Isolation in Pediatric Oncology Patients and Their Peers

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Loneliness is associated with adverse physical and mental health outcomes and remains understudied in children and adolescents undergoing cancer therapy. Pediatric oncology patients may be at increased risk due to medical isolation and disruption of social networks.
Charlotte N. Stahlfeld   +5 more
wiley   +1 more source

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