Conditional symmetry and reduction of differential equations with partial derivatives
We establish sufficient conditions of reduction of partial differential equations admitting nontrivial conditional symmetry. The results obtained generalize the classical conditions of reduction of differential equations by using group-invariant solutions. Some examples of reduction of systems of pa...
Saved in:
| Date: | 1992 |
|---|---|
| Main Authors: | Fushchich , W. I., Zhdanov , R. Z. |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8129 |
| 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
Reduction of differential equations and conditional symmetry
by: Zhdanov, R. Z., et al.
Published: (1996)
by: Zhdanov, R. Z., et al.
Published: (1996)
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)
Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations
by: Tychynin, V., et al.
Published: (2007)
by: Tychynin, V., et al.
Published: (2007)
On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
by: Güngör, F.
Published: (2006)
by: Güngör, F.
Published: (2006)
A Problem with Nonlocal Conditions for Partial Differential Equations Unsolved with Respect to the Leading Derivative
by: Vlasii, O. D., et al.
Published: (2003)
by: Vlasii, O. D., et al.
Published: (2003)
One system of differential equations in partial derivatives of the second order
by: Tasmambetov , Zh. N., et al.
Published: (1992)
by: Tasmambetov , Zh. N., et al.
Published: (1992)
Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction
by: Anco, S.C., et al.
Published: (2011)
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)
by: Anco, S.C., et al.
Published: (2011)
Conditional symmetry of the Navier-Stokes equations
by: Serov, N. I., et al.
Published: (1997)
by: Serov, N. I., et al.
Published: (1997)
Lie-Backlund symmetry, reduction and solutions of nonlinear evolution equations
by: Rzeszut, W., et al.
Published: (2022)
by: Rzeszut, W., et al.
Published: (2022)
On reduction of the (1 + 3)-dimensional inhomogeneous Monge – Ampère equation to the first-order partial differential equations
by: V. M. Fedorchuk, et al.
Published: (2022)
by: V. M. Fedorchuk, et al.
Published: (2022)
On reduction of the (1+3)-dimensional inhomogeneous Monge-Ampère equation to the first-order partial differential equations
by: Fedorchuk, V. M., et al.
Published: (2022)
by: Fedorchuk, V. M., et al.
Published: (2022)
Solving of Partial Differential Equations under Minimal Conditions
by: Maslyuchenko, V.K., et al.
Published: (2008)
by: Maslyuchenko, V.K., et al.
Published: (2008)
Recursions of Symmetry Orbits and Reduction without Reduction
by: Malykh, A.A., et al.
Published: (2011)
by: Malykh, A.A., et al.
Published: (2011)
Lie – Bäcklund symmetry, reduction and solutions of nonlinear evolution equations
by: V. Zheshut, et al.
Published: (2022)
by: V. Zheshut, et al.
Published: (2022)
Symmetry of equations of linear and nonlinear quantum mechanics
by: Fushchich, V. I., et al.
Published: (1997)
by: Fushchich, V. I., et al.
Published: (1997)
Reduction of the self-dual Yang-Mills equations. I. The Poincaré group
by: Zhdanov, R.Z., et al.
Published: (1995)
by: Zhdanov, R.Z., et al.
Published: (1995)
A multipoint problem for partial differential equations unresolved with respect to the higher time derivative
by: Klyus, I. S., et al.
Published: (1999)
by: Klyus, I. S., et al.
Published: (1999)
Conditional symmetry and new representations of the Galilean algebra for nonlinear parabolic equations
by: Fushchich, V. I., et al.
Published: (1993)
by: Fushchich, V. I., et al.
Published: (1993)
Logistic differential equation in partial derivatives for determination of rational location and changes in inventories of materials
by: O. I. Khazanovych, et al.
Published: (2021)
by: O. I. Khazanovych, et al.
Published: (2021)
Reduction of the self-dual Yang-Mills equations I. Poincaré group
by: Fushchich, V. I., et al.
Published: (1995)
by: Fushchich, V. I., et al.
Published: (1995)
Symmetry reduction and exact solutions of the multidimensional monge-ampere equation
by: Leibov, O. S., et al.
Published: (1996)
by: Leibov, O. S., et al.
Published: (1996)
Conditional stability of quasitoroidal manifolds of systems of partial differential equations
by: Tkach, B. P., et al.
Published: (1998)
by: Tkach, B. P., et al.
Published: (1998)
On the classification of symmetry reductions for the (1+3)-dimensional Monge-Ampere equation
by: V. M. Fedorchuk, et al.
Published: (2020)
by: V. M. Fedorchuk, et al.
Published: (2020)
Differential-symbol method for solving the Nicoletti problem for a homogeneous equation with second-order time partial derivatives
by: Nytrebych, Z., et al.
Published: (2026)
by: Nytrebych, Z., et al.
Published: (2026)
Dirichlet-Type Problems for Systems of Partial Differential Equations Unresolved with Respect to the Highest Time Derivative
by: Bilusyak, N.I., et al.
Published: (2002)
by: Bilusyak, N.I., et al.
Published: (2002)
Differential invariants, hidden and conditional symmetry
by: I. A. Yehorchenko
Published: (2021)
by: I. A. Yehorchenko
Published: (2021)
Existence, uniqueness, and dependence on a parameter of solutions of differential-functional equations with ordinary and partial derivatives
by: Bigun, Ya. I., et al.
Published: (1997)
by: Bigun, Ya. I., et al.
Published: (1997)
Differential invariants, hidden and conditional symmetry
by: Yehorchenko, I. A., et al.
Published: (2021)
by: Yehorchenko, I. A., et al.
Published: (2021)
The differential-symbol method of solving the problem with local two-point in time conditions for a partial differential equation
by: Z. M. Nytrebych
Published: (2020)
by: Z. M. Nytrebych
Published: (2020)
A Problem with Nonlocal Conditions for Partial Differential Equations with Variable Coefficients
by: Vlasii, O. D., et al.
Published: (2001)
by: Vlasii, O. D., et al.
Published: (2001)
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation
by: Ormerod, C.M.
Published: (2014)
by: Ormerod, C.M.
Published: (2014)
Subalgebras of the Poincare algebra $AP (2, 3)$ and symmetry reduction of the nonlinear ultrahуperbolic d’Alambert equation. I
by: Barannik , L. F., et al.
Published: (1988)
by: Barannik , L. F., et al.
Published: (1988)
On the classification of symmetry reductions and invariant solutions for the Euler–Lagrange–Born–Infeld equation
by: V. M. Fedorchuk, et al.
Published: (2019)
by: V. M. Fedorchuk, et al.
Published: (2019)
On the classification of symmetry reductions and invariant solutions for the Euler–Lagrange–Born–Infeld equation
by: V. M. Fedorchuk, et al.
Published: (2019)
by: V. M. Fedorchuk, et al.
Published: (2019)
Nonlocal boundary-value problem for linear partial differential equations unsolved with respect to the higher time derivative
by: Vlasii, O. D., et al.
Published: (2007)
by: Vlasii, O. D., et al.
Published: (2007)
Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries
by: Zhdanov, R., et al.
Published: (2005)
by: Zhdanov, R., et al.
Published: (2005)
On nonlinear symmetry of the system of hemotaxis equations with a derivative nonlinearity
by: M. I. Sierov, et al.
Published: (2022)
by: M. I. Sierov, et al.
Published: (2022)
On nonlocal symmetries of a system of chemotaxis equations with derivative nonlinearity
by: Serov, M. I., et al.
Published: (2022)
by: Serov, M. I., et al.
Published: (2022)
Boundary-value problem with mixed conditions for linear typeless partial differential equations
by: Ptashnik, B. I., et al.
Published: (2016)
by: Ptashnik, B. I., et al.
Published: (2016)
Similar Items
-
Reduction of differential equations and conditional symmetry
by: Zhdanov, R. Z., et al.
Published: (1996) -
Symmetry and non-lie reduction of the nonlinear Schrödinger equation
by: Fushchich, V. I., et al.
Published: (1993) -
Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations
by: Tychynin, V., et al.
Published: (2007) -
On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
by: Güngör, F.
Published: (2006) -
A Problem with Nonlocal Conditions for Partial Differential Equations Unsolved with Respect to the Leading Derivative
by: Vlasii, O. D., et al.
Published: (2003)