Results 251 to 260 of about 3,164,214 (296)

Invariant and Partially Invariant Solutions of the Green-Naghdi Equations

Journal of Applied Mechanics and Technical Physics, 2005
All invariant and partially invariant solutions of the Green-Naghdi equations are obtained that describe the second approximation of the shallow water theory. It is proved that all nontrivial invariant solutions belong to one of the following types: Galilean-invariant, stationary, and self-similar solutions.
A P Chupakhin
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Classifying algebraic invariants and algebraically invariant solutions

Chaos, Solitons and Fractals, 2020
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Maria V Demina
exaly   +2 more sources

Group-Invariant Solutions of Differential Equations [PDF]

SIAM Journal on Applied Mathematics, 1987
The authors describe a general approach to group-invariant solutions of partial differential equations. They introduce the concept of a ''weak symmetry group'' of a system of partial differential equations and show how, in principle, to construct group-invariant solutions for any group of transformations by reducing the number of variables in the ...
Peter Olver, Philip Rosenau
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Extending Invariant Solutions

Games and Economic Behavior, 1997
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Vermeulen, A. J., Jansen, M. J. M.
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Group invariant solutions to a centro-affine invariant flow

Archiv Der Mathematik, 2017
The authors systematically study the group-invariant solutions of the centroaffine heat flow using Lie's theory of symmetry groups.
Weifeng Wo, Xiaoliu Wang
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Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations

Journal of Ocean Engineering and Science, 2020
The key purpose of the present research is to derive the exact solutions of nonlinear water wave equations (NLWWEs) in oceans through the invariant subspace scheme (ISS).
Kamyar Hosseini, Mahmoud Shafiee, Abdullahi Yusuf   +2 more
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Differential-Invariant Solutions

Journal of Mathematical Sciences, 2018
Summary: We construct differential-invariant solutions to automorphic systems and propose a method for classifying differential-invariant submodels.
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Model of the Newtonian cosmology: Symmetries, invariant and partially invariant solutions

Communications in Nonlinear Science and Numerical Simulation, 2016
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Igor I. Klebanov, O. Startsun, Sergey Ivanov   +2 more
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A Solution to the Invariant Subspace Problem

Bulletin of the London Mathematical Society, 1984
In studying the action of a matrix of a finite dimensional linear space, the existence of eigenvectors enables one to put the matrix in upper triangular form. Although the understanding is not nearly so complete for compact operators on Banach spaces, an analogous decomposition is possible, where eigenvectors must be replaced by invariant subspaces ...
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