Results 11 to 20 of about 12,041,533 (315)

The agreement between novel exact and numerical solutions of nonlinear models

open access: yesPartial Differential Equations in Applied Mathematics, 2023
Nonlinear models (NLMs), being an important topic in mathematical physics, have attracted a lot of attention in the international research community because they have numerous uses in human life. These NLMs are typically implemented to illuminate various
Md. Nur Alam, S. M. Rayhanul Islam
doaj   +1 more source

Matrix integrable fifth-order mKdV equations and their soliton solutions

open access: yesChinese Physics B, 2022
We consider matrix integrable fifth-order mKdV equations via a kind of group reductions of the Ablowitz–Kaup–Newell–Segur matrix spectral problems. Based on properties of eigenvalue and adjoint eigenvalue problems, we solve the corresponding Riemann ...
W. Ma 马
semanticscholar   +1 more source

On solutions of some delay Volterra integral problems on a half-line

open access: yesNonlinear Analysis, 2021
In this paper, we study the existence of a.e. monotonic solutions of some general delay integral problems for both fractional and integer orders in the space of Lebesgue integrable functions on the interval R+ = [0;1) and in the space of locally ...
Mohamed M.A. Metwali, Kinga Cichoń
doaj   +1 more source

Solution Spaces Associated to Continuous or Numerical Models for Which Integrable Functions Are Bounded

open access: yesMathematics, 2022
Boundedness is an essential feature of the solutions for various mathematical and numerical models in the natural sciences, especially those systems in which linear or nonlinear preservation or stability features are fundamental.
Brian Villegas-Villalpando   +2 more
doaj   +1 more source

New soliton solutions of modified (3+1)-D Wazwaz–Benjamin–Bona–Mahony and (2+1)-D cubic Klein–Gordon equations using first integral method

open access: yesOpen Physics, 2023
In this article, first integral method (FIM) is used to acquire the analytical solutions of (3+1)-D Wazwaz–Benjamin–Bona–Mahony and (2+1)-D cubic Klein–Gordon equation. New soliton solutions are obtained, such as solitons, cuspon, and periodic solutions.
Javeed Shumaila   +4 more
doaj   +1 more source

Painlevé analysis, Bäcklund transformation and Exact solutions for the (3+1)-dimensional nonlinear partial differential equation represented by Burgers’ equation

open access: yesExamples and Counterexamples, 2022
Herein, the Painlevé analysis and Bäcklund transformation for the  (3+1) dimensional Burger equation are presented. Using this analysis, it is shown that the equation under consideration non-integrable.
M.H.M. Moussa, Zidan M. Abd Al-Halim
doaj   +1 more source

On the Existence of Integrable Solutions to Nonlinear Elliptic Systems and Variational Problems with Linear Growth [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2016
We investigate the properties of certain elliptic systems leading, a priori, to solutions that belong to the space of Radon measures. We show that if the problem is equipped with a so-called asymptotic radial structure, then the solution can in fact be ...
Lisa Beck   +3 more
semanticscholar   +1 more source

eHealth Solutions for the Integrated Healthcare [PDF]

open access: yesJournal of Healthcare Engineering, 2018
Information and communication technologies (ICT) bring a whole new dimension into the healthcare arena by introducing electronic media that open the door to the use of new methodologies. Today, ICT support electronic gathering, storage, processing, and exchange of information to treat disease, prevent illness, promote healthy lifestyle, manage patients
Giedrius Vanagas   +4 more
openaire   +3 more sources

Abundant optical soliton solutions for an integrable (2+1)-dimensional nonlinear conformable Schrödinger system

open access: yes, 2021
The analytical solutions of the integrable generalized ( 2 + 1 ) -dimensional nonlinear conformable Schrodinger (NLCS) system of equations was explored in this paper with the aid of three novel techniques which consist of ( G ′ / G ) -expansion method ...
Lanre Akinyemi   +4 more
semanticscholar   +1 more source

Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation

open access: yesAdvances in Mathematical Physics, 2022
In this paper, an integrable (2 + 1)-dimensional KdV4 equation is considered. By considering variable transformation and Bell polynomials, an effective and straightforward way is presented to derive its bilinear form.
Sixing Tao
doaj   +1 more source

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