Cover Image

New Exact Solutions of One Nonlinear Equation in Mathematical Biology and Their Properties

The classical Lie approach and the method of additional generating conditions are applied to constructing multiparameter families of exact solutions of the generalized Fisher equation, which is a simplification of the known coupled reaction–diffusion system describing spatial segregation of interact...

Full description

Saved in:

Bibliographic Details
Date:	2001
Main Authors:	Cherniga, R. M., Черніга, Р. М.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2001
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4359
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

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

Application of one constructive method for the construction of non-Lie solutions of nonlinear evolution equations
by: Cherniga, R. M., et al.
Published: (1997)

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

Exact Solutions of a Mathematical Model for Fluid Transport in Peritoneal Dialysis
by: Cherniga, R. M., et al.
Published: (2005)

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

Symmetry and exact solution of heat-mass transfer equations in thermonuclear plasma
by: Cherniga, R. M., et al.
Published: (1996)

Exact Solutions of a Mathematical Model for Fluid Transport in Peritoneal Dialysis
by: Cherniga, R.M., et al.
Published: (2005)

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)

On Exact Solutions of Nonlinear Diffusion Equations
by: Barannyk, A. F., et al.
Published: (2005)

Symmetry and exact solution of heat-mass transfer equations in thermonuclear plasma
by: Cherniga, R.M., et al.
Published: (1996)

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

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

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

Construction of exact solutions of nonlinear heat conduction equations
by: Barannik, A., et al.
Published: (2026)

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

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

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

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

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

Solutions with peculiarities of one equation of mathematical physics
by: Gutlyansky , V. Ya., et al.
Published: (1992)

Exact Solutions for Equations of Bose-Fermi Mixtures in One-Dimensional Optical Lattice
by: Kostov, N.A., et al.
Published: (2007)

Exact solution of one boundary-value problem
by: Botyuk, A. O., et al.
Published: (1997)

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

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

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)

Optimal stopping times for solutions of nonlinear stochastic differential equations and their application to one problem of financial mathematics
by: Mishura, Yu. S., et al.
Published: (1999)

On local properties of solutions of nonlinear Beltrami equation
by: R. R. Salimov, et al.
Published: (2020)

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

Asymptotic Representations for the Solutions of One Class of Nonlinear Differential Equations of the Second Order
by: Shlepakov, O. R., et al.
Published: (2015)

Bounded solutions of one class of nonlinear operator difference equations
by: Gorodnii, M. F., et al.
Published: (1995)

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

Conditions for the existence of bounded solutions of one class of nonlinear differential equations
by: Hrod, I. M., et al.
Published: (2006)

Asymptotic Representations for the Solutions of One Class of Nonlinear Differential Equations of the Second Order
by: O. R. Shlepakov
Published: (2015)

On one mathematical problem in the theory of nonlinear oscillations
by: Grebenikov, E. A., et al.
Published: (2008)

One approach to the determination of approximate solutions of the Cauchy problem for nonlinear differential equations
by: Pelekh , Ya. M., et al.
Published: (1992)

New algorithmic implementation of exact three-point difference schemes for systems of nonlinear ordinary differential equations of the second ord
by: Kutniv, M. V., et al.
Published: (2022)

Symmetry reduction and exact solutions of the multidimensional monge-ampere equation
by: Leibov, O. S., et al.
Published: (1996)