Results 91 to 100 of about 10,990,470 (194)

Pfaffian solutions and nonlinear dynamics of surface waves in two horizontal and one vertical directions with dispersion, dissipation and nonlinearity effects

open access: yesAlexandria Engineering Journal
This study delves into the exploration of the (3+1)-dimensional generalized nonlinear fractional Konopelchenko–Dubrovsky–Kaup–Kupershmidt (GFKDKK) system, a crucial nonlinear evolution equation governing wave motion across various physical domains.
Mostafa M.A. Khater
doaj   +1 more source

Equivalence group for generalized Kudryashov-Sinelshchikov equations of second order [PDF]

open access: yes, 2020
Orientador: Yuri Dimitrov BozhkovTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação CientíficaResumo: Nesta tese calculamos o grupo de equivalência contínuo para a equação generalizada de Kudryashov ...
Londoño Duque, Oscar Mario, 1979-
core  

A singular limit problem for the Kudryashov-Sinelshchikov equation

open access: yes, 2017
We consider the Kudryashov-Sinelshchikov equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation converge to the entropy ones of the Burgers equation.
di Ruvo L., COCLITE, Giuseppe Maria
core   +1 more source

Exploring solutions to the fractional Boiti–Leon–Manna–Pempinelli equation characterizing wave dynamics in incompressible fluids

open access: yesPartial Differential Equations in Applied Mathematics
In this study, the (3 + 1)-dimensional space-time fractional Boiti–Leon–Manna–Pempinelli (BLMP) equation is investigated utilizing the Kudryashov method (KM) and the modified Kudryashov method (MKM). These two efficient methods are implemented to acquire
A.K. Sahoo, A.K. Gupta
doaj   +1 more source

Perturbed optical solitons with spatio-temporal dispersion in (2+1) -dimensions by extended Kudryashov method

open access: yes, 2018
This paper derives optical soliton solutions to perturbed nonlinear Schrodinger's equation with spatio-temporal dispersion in (2 + 1)-dimensions by the extended Kudryashov method which takes full advantages of the Bernoulli and Riccati equations to ...
Adem, Abdullahi Rashid
core   +1 more source

New exact solutions for Kudryashov–Sinelshchikov equation

open access: yes, 2018
In this paper, we firstly change the auxiliary second order ordinary differential equation in the G′G $\frac{G'}{G}$-polynomial expansion method to the Riccati equation.
Junliang Lu
core   +1 more source

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

A new approach to Kudryashov’s method for solving some nonlinear physical models

open access: yesInternational Journal of the Physical Sciences, 2012
In this paper, we give a new version of the Kudryashov's method for solving non-integrable partial differential equations in mathematical physics. Some exact solutions including 1-soliton and singular soliton solutions of the  equation with generalized evolution and time dependent damping and dispersion are obtained by using this new approach.  
openaire   +1 more source

The early stages of "legal purges" in Soviet Russia (1941-1945) [Le prime fasi delle "purghe legali" nella Russia sovietica (1941-45)]

open access: yes, 2008
Le "epurazioni legali" europee del dopoguerra sono state ampiamente indagate da studiosi che ne hanno esplorato le diverse forme, l'evoluzione nel tempo, la percezione dei vari protagonisti e il significato.European postwar “legal purges” have been ...
Vanessa Voisin, Sergey Kudryashov
core   +1 more source

Numerical solutions of fractional conformable derivative using a generalized Kudryashov method

open access: yesScience World Journal
This paper addresses the numerical solutions of fractional differential equations (FDEs) using the Generalized Kudryashov Method (GKM) in the context of the conformable fractional derivative. Fractional calculus, particularly the conformable derivative, provides a versatile framework for modeling systems exhibiting memory and hereditary properties ...
Oduselu-Hassan, Oladayo Emmanuel   +1 more
openaire   +2 more sources

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