Application of one constructive method for the construction of non-Lie solutions of nonlinear evolution equations
We propose a constructive method for the construction of exact solutions of nonlinear partial differential equations. The method is based on the investigation of a fixed nonlinear partial differential equation (system of partial differential equations) together with an additional condition in the fo...
Saved in:
| Date: | 1997 |
|---|---|
| Main Authors: | Cherniga, R. M., Черніга, Р. М. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5066 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
New Exact Solutions of One Nonlinear Equation in Mathematical Biology and Their Properties
by: Cherniga, R. M., et al.
Published: (2001)
by: Cherniga, R. M., et al.
Published: (2001)
Lie symmetries and exact solutions of nonlinear equations of heat conductivity with convection term
by: Serov, N. I., et al.
Published: (1997)
by: Serov, N. I., et al.
Published: (1997)
Lie Symmetries, Q-Conditional Symmetries, and Exact Solutions of Nonlinear Systems of Diffusion-Convection Equations
by: Serov, N. I., et al.
Published: (2003)
by: Serov, N. I., et al.
Published: (2003)
On a method for constructing one-frequency solutions of a nonlinear wave equation
by: Sokil, B. I., et al.
Published: (1994)
by: Sokil, B. I., et al.
Published: (1994)
Lie – Bäcklund symmetry, reduction and solutions of nonlinear evolution equations
by: V. Zheshut, et al.
Published: (2022)
by: V. Zheshut, et al.
Published: (2022)
Lie-Backlund symmetry, reduction and solutions of nonlinear evolution equations
by: Rzeszut, W., et al.
Published: (2022)
by: Rzeszut, W., et al.
Published: (2022)
A new method for the construction of solutions of nonlinear wave equations
by: Barannyk, A. F., et al.
Published: (1999)
by: Barannyk, A. F., et al.
Published: (1999)
Construction of a solution of one integrodifferential equation
by: Skutar, I.D., et al.
Published: (2011)
by: Skutar, I.D., et al.
Published: (2011)
Application of ateb-functions to the construction of solutions of some nonlinear partial differential equations
by: Sokil, B. I., et al.
Published: (1996)
by: Sokil, B. I., et al.
Published: (1996)
Construction of exact solutions to nonlinear equations of the hyperbolic type
by: A. F. Barannyk, et al.
Published: (2017)
by: A. F. Barannyk, et al.
Published: (2017)
On the application of Ateb-functions to the construction of a solution of a nonlinear Klein-Gordon equation
by: Sokil, B. I., et al.
Published: (1997)
by: Sokil, B. I., et al.
Published: (1997)
On the application of Ateb-functions to the construction of an asymptotic solution of the perturbed nonlinear Klein-Gordon equation
by: Mitropolskiy, Yu. A., et al.
Published: (1998)
by: Mitropolskiy, Yu. A., et al.
Published: (1998)
On the construction of a nonnegative solution for one class of Urysohn-type nonlinear integral equations on a semiaxis
by: Khachatryan, A. Kh., et al.
Published: (2011)
by: Khachatryan, A. Kh., et al.
Published: (2011)
On new exact solutions of a nonlinear diffusion system that describes the growth of protein crystals
by: Cherniga, R. M., et al.
Published: (1998)
by: Cherniga, R. M., et al.
Published: (1998)
Diffusive Lotka-Volterra System: Lie Symmetries and Exact and Numerical Solutions
by: Dushka, V. A., et al.
Published: (2004)
by: Dushka, V. A., et al.
Published: (2004)
Symmetry and non-lie reduction of the nonlinear Schrödinger equation
by: Fushchich, V. I., et al.
Published: (1993)
by: Fushchich, V. I., et al.
Published: (1993)
The Application of the Green-Rvachev Quasifunction Method for Constructing Two-Sided Approximations to the Solution of the Dirichlet Problem for a Nonlinear Heat Equation
by: Сидоров, Максим Вікторович
Published: (2018)
by: Сидоров, Максим Вікторович
Published: (2018)
The Application of the Green-Rvachev Quasifunction Method for Constructing Two-Sided Approximations to the Solution of the Dirichlet Problem for a Nonlinear Heat Equation
by: M. V. Sydorov
Published: (2018)
by: M. V. Sydorov
Published: (2018)
Small parameter method in nonlinear reaction-diffusion systems: conditions of application, construction of solutions, bifurcation analysis
by: V. V. Hafiichuk, et al.
Published: (2014)
by: V. V. Hafiichuk, et al.
Published: (2014)
Construction of probabilistic solutions of the Boltzmann equation
by: Virchenko, Yu.P., et al.
Published: (2007)
by: Virchenko, Yu.P., et al.
Published: (2007)
On one method to construct normal in A. N. Tikhonov’s sense of linear equations
by: Dzуadуk, V. K., et al.
Published: (1971)
by: Dzуadуk, V. K., et al.
Published: (1971)
Construction of one-frequency solutions of boundary-value problems for a nonautonomous wave equation
by: Sokil, B. I., et al.
Published: (1994)
by: Sokil, B. I., et al.
Published: (1994)
Construction of an analytic solution for one class of Langevin-type equations with orthogonal random actions
by: Dubko, V. A., et al.
Published: (1998)
by: Dubko, V. A., et al.
Published: (1998)
Construction and analytical properties of integral varieties of solutions of a system of nonlinear difference equations
by: Kurbanshoev , S. Z., et al.
Published: (1992)
by: Kurbanshoev , S. Z., et al.
Published: (1992)
Finding cocycles in the bicrossed product construction for Lie groups
by: Kalyuzhnyi, A. A., et al.
Published: (2007)
by: Kalyuzhnyi, A. A., et al.
Published: (2007)
Construction of the logarithm of a process on the matrix Lie group
by: Kovalchuk, L.V., et al.
Published: (1992)
by: Kovalchuk, L.V., et al.
Published: (1992)
Construction of some solutions of the Couchy generalized problem for ordinary non-linear differential equations
by: Pisarenko, V. G., et al.
Published: (1971)
by: Pisarenko, V. G., et al.
Published: (1971)
Construction of solutions continuous and bounded for t∈R⁺ (t∈R⁻) of the system autonomous nonlinear functional-difference equations
by: H. P. Peliukh, et al.
Published: (2021)
by: H. P. Peliukh, et al.
Published: (2021)
Application of the generalized method of Lie-algebraic discrete approximations to the solution of the Cauchy problem with the advection equation
by: A. A. Kindybaliuk, et al.
Published: (2014)
by: A. A. Kindybaliuk, et al.
Published: (2014)
Symmetry and exact solution of heat-mass transfer equations in thermonuclear plasma
by: Cherniga, R. M., et al.
Published: (1996)
by: Cherniga, R. M., et al.
Published: (1996)
Construction of periodic solutions of non-linear systems in critical cases
by: Lykova, О. B., et al.
Published: (1987)
by: Lykova, О. B., et al.
Published: (1987)
On application of the averaging method to the solution of one non-linear integro-differential equation with small parameter of hyperbolic type
by: Melіkіdze, T. V., et al.
Published: (1971)
by: Melіkіdze, T. V., et al.
Published: (1971)
A criterion of solvability of resonant equations and construction of their solutions
by: O. A. Boichuk, et al.
Published: (2019)
by: O. A. Boichuk, et al.
Published: (2019)
On construction of the centrosymmetric and anticentrosymmetric solutions of the matrix Sylvester equations
by: V. B. Larin
Published: (2018)
by: V. B. Larin
Published: (2018)
A criterion of solvability of resonant equations
and construction of their solutions
by: Boichuk, О. A., et al.
Published: (2026)
by: Boichuk, О. A., et al.
Published: (2026)
On construction of asymptotic solution of the perturbed Klein-Gordon equation
by: Mitropolskiy, Yu. A., et al.
Published: (1995)
by: Mitropolskiy, Yu. A., et al.
Published: (1995)
On the construction of an asymptotic solution of a perturbed Bretherton equation
by: Mitropolskiy, Yu. A., et al.
Published: (1998)
by: Mitropolskiy, Yu. A., et al.
Published: (1998)
Certain methods for construction of asymptotics for the Hill equations
by: Shishanin, O. E., et al.
Published: (1992)
by: Shishanin, O. E., et al.
Published: (1992)
About one method of constructing control system power supplies
by: A. A. Verlan
Published: (2013)
by: A. A. Verlan
Published: (2013)
On application of the Neuton method of modification to solution of one quasi-linear equations
by: Shamansky, V. E., et al.
Published: (1971)
by: Shamansky, V. E., et al.
Published: (1971)
Similar Items
-
New Exact Solutions of One Nonlinear Equation in Mathematical Biology and Their Properties
by: Cherniga, R. M., et al.
Published: (2001) -
Lie symmetries and exact solutions of nonlinear equations of heat conductivity with convection term
by: Serov, N. I., et al.
Published: (1997) -
Lie Symmetries, Q-Conditional Symmetries, and Exact Solutions of Nonlinear Systems of Diffusion-Convection Equations
by: Serov, N. I., et al.
Published: (2003) -
On a method for constructing one-frequency solutions of a nonlinear wave equation
by: Sokil, B. I., et al.
Published: (1994) -
Lie – Bäcklund symmetry, reduction and solutions of nonlinear evolution equations
by: V. Zheshut, et al.
Published: (2022)