Dimensional reduction of nonlinear differential equations on homogeneous spaces

We consider the problem of dimensional reduction of nonlinear differential equations on homogeneous spaces that have no symmetries in general. The proposed method allows passing to a differential equation with fewer independent variables and, in particular, to ordinary differential equations.

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Publication Details

Journal
Theoretical and Mathematical Physics
Published
2025-05-01
DOI
https://doi.org/10.1134/s0040577925050046
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
0.00
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article

Dimensional reduction of nonlinear differential equations on homogeneous spaces

O. L. Kurnyavko, И. В. Широков
Theoretical and Mathematical Physics
Nonlinear Waves and Solitons
article

Dimensional reduction of nonlinear differential equations on homogeneous spaces

O. L. Kurnyavko, И. В. Широков
article en

Abstract

We consider the problem of dimensional reduction of nonlinear differential equations on homogeneous spaces that have no symmetries in general. The proposed method allows passing to a differential equation with fewer independent variables and, in particular, to ordinary differential equations.

Theoretical and Mathematical PhysicsVol. 223(2)
Omsk State Transport University (RU), Omsk State Technical University (RU)
Openalex Percentile: Top 91%
Nonlinear Waves and Solitons
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Dimensional reduction of nonlinear differential equations on homogeneous spaces — O. L. Kurnyavko, И. В. Широков · Theoretical and Mathematical Physics (2025) | TGRS Research Map | TGRS