Cover Image

On Exact Solutions of Nonlinear Diffusion Equations

New classes of the exact solutions of nonlinear diffusion equations are constructed.

Saved in:

Bibliographic Details
Date:	2005
Main Authors:	Barannyk, A. F., Yuryk, I. I., Баранник, А. Ф., Юрик, І. І.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2005
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3661
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Generalized separation of variables and exact solutions of nonlinear equations
by: Barannyk, T. A., et al.
Published: (2010)

Exact solutions with generalized separation of variables for the nonlinear heat equation with a source
by: Barannyk, A., et al.
Published: (2024)

The exact solutions with generalized separation of variables of the nonlinear heat equation
by: Barannyk, A. F., et al.
Published: (2022)

On exact solutions of the nonlinear heat equation
by: A. F. Barannyk, et al.
Published: (2019)

On exact solutions of the nonlinear heat equation
by: Barannyk, A.F., et al.
Published: (2019)

Construction of exact solutions to nonlinear equations of the hyperbolic type
by: A. F. Barannyk, et al.
Published: (2017)

Exact solutions with generalized separation of variables of the nonlinear heat equation
by: A. F. Barannyk, et al.
Published: (2022)

Conditional Symmetry and Exact Solutions of a Multidimensional Diffusion Equation
by: Barannyk, T. A., et al.
Published: (2002)

Exact solutions with generalized separation of variables for the nonlinear heat equation with a source
by: A. Barannyk, et al.
Published: (2024)

A method for the construction of exact solutions to the nonlinear heat equation $u_t = \left(F(u)u_x \right)_x +G(u)u_x +H(u)$
by: Barannyk, T. A., et al.
Published: (2026)

A new method for the construction of solutions of nonlinear wave equations
by: Barannyk, A. F., et al.
Published: (1999)

Exact solutions of the nonliear equation $u_{tt} = = a(t) uu_{xx} + b(t) u_x^2 + c(t) u $
by: Barannyk, T. A., et al.
Published: (2017)

Generalized procedure of separation of variables and reduction of nonlinear wave equations
by: Barannyk, T. A., et al.
Published: (2009)

A method for the construction of exact solutions to the nonlinear heat equation ut = F(u) ux(x) + G(u) ux + H(u)
by: A. F. Barannyk, et al.
Published: (2019)

Conditional Symmetry of a System of Nonlinear Reaction-Diffusion Equations
by: Barannyk, T. A., et al.
Published: (2015)

Exact solutions of the nonliear equation utt=a(t)uu xx+b(t)ux2+c(t)u
by: A. F. Barannyk, et al.
Published: (2017)

Lie Symmetries, Q-Conditional Symmetries, and Exact Solutions of Nonlinear Systems of Diffusion-Convection Equations
by: Serov, N. I., et al.
Published: (2003)

The classification of the Galilei-invariant systems of nonlinear reaction-diffusion equations
by: T. A. Barannyk
Published: (2015)

Nonclassical symmetries of a system of nonlinear reaction-diffusion equations
by: T. A. Barannyk
Published: (2017)

Conditional Symmetry of a System of Nonlinear Reaction-Diffusion Equations
by: T. A. Barannyk
Published: (2015)

Nonlinear d'alembert equation in the pseudo-euclidean space $R_{2,n}$ and its solutions
by: Yuryk, I. I., et al.
Published: (2000)

On new exact solutions of a nonlinear diffusion system that describes the growth of protein crystals
by: Cherniga, R. M., et al.
Published: (1998)

Exact solutions for some modifications of the nonlinear Cahn–Hilliard equation
by: P. O. Mchedlov-Petrosyan, et al.
Published: (2013)

Classification of maximal subalgebras of rank n of the conformal algebra AC(1, n)
by: Barannyk, A. F., et al.
Published: (1998)

Lie symmetries and exact solutions of nonlinear equations of heat conductivity with convection term
by: Serov, N. I., et al.
Published: (1997)

Conditional symmetries and exact solutions of the reaction-diffusion system
by: M. I. Sierov, et al.
Published: (2016)

New Exact Solutions of One Nonlinear Equation in Mathematical Biology and Their Properties
by: Cherniga, R. M., et al.
Published: (2001)

Stability of exact solutions of the cubic-quintic nonlinear Schrödinger equation with periodic potential
by: Kengne, E., et al.
Published: (2010)

Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction
by: Anco, S.C., et al.
Published: (2011)

Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction
by: Anco, S.C., et al.
Published: (2011)

Symmetry reduction and some exact solutions of a nonlinear five-dimensional wave equation
by: Fedorchuk, V. M., et al.
Published: (1996)

Diffusive Lotka-Volterra System: Lie Symmetries and Exact and Numerical Solutions
by: Dushka, V. A., et al.
Published: (2004)

Discrete solution for the nonlinear parabolic equations with diffusion terms in Museilak–spaces
by: A. Aberqi, et al.
Published: (2021)

On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity
by: Stanzhitsky, A.N., et al.
Published: (2009)

Exact Solutions of Nonlinear Equations in Math- ematical Physics via Negative Power Expansion Method
by: B. Xu, et al.
Published: (2021)

On the symmetry and exact solutions of a certain transport equation
by: Popovich, R. O., et al.
Published: (1995)

Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
by: Borshch, M.S., et al.
Published: (2007)

Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
by: Nikitin, A. G., et al.
Published: (2007)

Attractors of reaction-diffusion equations with nonmonotone nonlinearity
by: Valero, J.
Published: (2000)

The linearization of the systems of nonlinear convection-diffusion equations
by: O. M. Omelian, et al.
Published: (2016)