Results 81 to 90 of about 1,122 (176)

Dilatations of Linear Operators

open access: yesСовременная математика: Фундаментальные направления, 2020
The article is devoted to building various dilatations of linear operators. The explicit construction of a unitary dilation of a compression operator is considered.
Yu. L. Kudryashov
doaj   +1 more source

Exact Solutions and Dynamic Analysis for a Fractional Partial Differential Equation Emerging in Mathematical Biology

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates a fractional partial differential equation in the field of mathematical biology. The Bernoulli (G′⁄G)‐expansion method is applied to solve this class of fractional‐order nonlinear differential equations and derive analytical solutions.
Hongqiang Tu, Yongyi Gu, Guotao Wang
wiley   +1 more source

TRAVELING WAVE SOLUTIONS OF SOME FRACTIONAL DIFFERENTIAL EQUATIONS [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2016
The modified Kudryashov method is powerful, efficient and can be used as an alternative to establish new solutions of different type of fractional differential equations applied in mathematical physics.
SERIFE MUGE EGE, EMINE MISIRLI
doaj  

Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation

open access: yesAlexandria Engineering Journal
The (3+1)-dimensional Kadomtsev–Petviashvili equation arises in various physical contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions play a vital role in understanding the physical behavior of a system.
Amjad E. Hamza   +5 more
doaj   +1 more source

Optical solitons for the dispersive concatenation model with spatio-temporal dispersion having multiplicative white noise

open access: yesResults in Physics
This investigation of the current work presents the dispersive concatenation model that integrates the spatio-temporal dispersion and the effect of multiplicative white noise in the Itô sense. The study aims to secure stochastic optical soliton solutions
Ahmed H. Arnous   +6 more
doaj   +1 more source

Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics

open access: yesJournal of Applied Mathematics, 2018
A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied
Y. B. Chukkol   +2 more
doaj   +1 more source

Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations

open access: yesМоделирование и анализ информационных систем, 2015
The method of the logistic function is presented for finding exact solutions of nonlinear differential equations. The application of the method is illustrated by using the nonlinear ordinary differential equation of the fourth order. Analytical solutions
N. A. Kudryashov
doaj   +1 more source

Soft Law as International Financial Regulation Method in the Foreign Financial Law Doctrine

open access: yesМосковский журнал международного права, 2013
The article deals with the foreign approaches to soft law as a range of non-binding instruments issued by the international financial institutions. Soft-law method is widely recognized and has practical application in all areas of international financial
V. V. Kudryashov
doaj   +1 more source

Extended Kudryashov Method for Fractional Nonlinear Differential Equations

open access: yesMathematical Sciences and Applications E-Notes, 2018
In this study, we have propesed the extended Kudryashov method to obtain the exact solutions of nonlinear fractional differential equations. Definiton of modified Riemann Liouville sense fractional derivative is used and the proposed method is applied to two nonlinear fractional differential equations.
EGE, Serife Muge, MİSİRLİ, Emine
openaire   +3 more sources

Exploring solitary wave solutions to the simplified modified camassa-holm equation through a couple sophisticated analytical approaches

open access: yesResults in Physics
The simplified modified Camassa-Holm equation, a developed Korteweg-de Vries equation, is an integrable nonlinear dispersive water wave equation with potential applications in diverse fields such as shallow water waves, liquid drop patterning, water ...
Sujoy Devnath   +2 more
doaj   +1 more source

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