Results 21 to 30 of about 195,918 (284)

BACKLUND TRANSFORMATIONS FOR LIOUVILLE’S EQUATIONS WITH EXPONENTIAL NONLINEARITY

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The study of Backlund 's transformations is one of the current topics in the theory of differential equations in partial derivatives. Such transformations are used to find solutions to nonlinear differential equations, including solitonic ...
T. V. Red'kina, O. V. Novikova
doaj   +1 more source

SINGULAR SOLUTIONS OF CLAIRAUT-TYPE EQUATIONS IN PARTIAL DERIVATIVES WITH REVERSE TRIGONOMETRIC FUNCTIONS

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The problem of evaluation of the special (singular) solutions of Clairaut-type partial differential equations attracts a lot of interest studying various transformations of nonlinear equations of mathematical physics, for example, Legendre
L. L. Ryskina, A. S. Zubtsova, Yu. O. Shavenkova   +2 more
doaj   +1 more source

ANALYSIS OF NONLINEAR EQUATIONS IN PRIVATE DERIVATIVES ASSOCIATED WITH THE THIRD-ORDER SCATTERING OPERATOR

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. A plurality of nonlinear equations in partial derivatives having a Lax pair are either exactly integrable or equations that allow rich classes of exact solutions.
T. V. Red'kina, O. V. Novikova
doaj   +1 more source

Exact Solutions to the Fractional Differential Equations with Mixed Partial Derivatives

Axioms, 2018
In this paper, the solvability of nonlinear fractional partial differential equations (FPDEs) with mixed partial derivatives is considered. The invariant subspace method is generalized and is then used to derive exact solutions to the nonlinear FPDEs ...
Jun Jiang, Yuqiang Feng, Shougui Li
doaj   +1 more source

First order devices, hybrid memristors, and the frontiers of nonlinear circuit theory [PDF]

, 2013
Several devices exhibiting memory effects have shown up in nonlinear circuit theory in recent years. Among others, these circuit elements include Chua's memristors, as well as memcapacitors and meminductors.
Riaza, Ricardo
core   +3 more sources

Higher order terms in multiscale expansions: a linearized KdV hierarchy [PDF]

, 2001
We consider a wide class of model equations, able to describe wave propagation in dispersive nonlinear media. The Korteweg-de Vries (KdV) equation is derived in this general frame under some conditions, the physical meanings of which are clarified. It is
Leblond, H.
core   +4 more sources

Bounder solution on a strip to a system of nonlinear hyperbolic equations with mixed derivatives

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
The system of nonlinear hyperbolic equations with mixed derivatives is considered on the strip. Time variable of the unknown function changes on the whole axis, and the spatial variable belongs to a finite interval.
D.S. Dzhumabaev, S.M. Temesheva
doaj   +1 more source

An Initial Problem for a Class of Weakly Degenerate Semilinear Equations with Lower Order Fractional Derivatives

Известия Иркутского государственного университета: Серия "Математика", 2021
An initial value problem is studied for a class of evolutionary equations with a weak degeneration, which are nonlinear with respect to lower order fractional Gerasimov – Caputo derivatives.
G.D. Baybulatova, M.V. Plekhanova
doaj   +1 more source

A note on exp-function method combined with complex transform method applied to fractional differential equations

Advances in Nonlinear Analysis, 2015
In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
doaj   +1 more source

Fractional Reduced Differential Transform Method for Solving Mutualism Model with Fractional Diffusion

International Journal of Analysis and Applications, 2023
This study presents the fractional reduced differential transform method for a nonlinear mutualism model with fractional diffusion. The fractional derivatives are described by Caputo's fractional operator.
Mohamed Ahmed Abdallah, Khaled Abdalla Ishag   +1 more
doaj   +1 more source