Zobrazeno 1 - 10
of 150
pro vyhledávání: '"Boyko, Vyacheslav"'
Publikováno v:
Anal. Math. Phys. 14 (2024), 82
We exhaustively classify the Lie reductions of the real dispersionless Nizhnik equation to partial differential equations in two independent variables and to ordinary differential equations. Lie and point symmetries of reduced equations are comprehen
Externí odkaz:
http://arxiv.org/abs/2308.03744
Publikováno v:
Commun. Nonlinear Sci. Numer. Simul. 132 (2024), 107915
Applying an original megaideal-based version of the algebraic method, we compute the point-symmetry pseudogroup of the dispersionless (potential symmetric) Nizhnik equation. This is the first example of this kind in the literature, where there is no
Externí odkaz:
http://arxiv.org/abs/2211.09759
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 November 2024 539(2)
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation May 2024 132
Publikováno v:
J. Math. Anal. Appl. 539 (2024), 128543
We revisit the results on admissible transformations between normal linear systems of second-order ordinary differential equations with an arbitrary number of dependent variables under several appropriate gauges of the arbitrary elements parameterizi
Externí odkaz:
http://arxiv.org/abs/2105.05139
Parameter estimation for non-stationary stochastic differential equations (SDE) with an arbitrary nonlinear drift, and nonlinear diffusion is accomplished in combination with a non-parametric clustering methodology. Such a model-based clustering appr
Externí odkaz:
http://arxiv.org/abs/2102.12395
Publikováno v:
Anal. Math. Phys. 11 (2021), 127
Essentially generalizing Lie's results, we prove that the contact equivalence groupoid of a class of (1+1)-dimensional generalized nonlinear Klein-Gordon equations is the first-order prolongation of its point equivalence groupoid, and then we carry o
Externí odkaz:
http://arxiv.org/abs/2008.05460
Publikováno v:
J. Differential Equations, 284 (2021), 546-575
The well-known solution theory for (systems of) linear ordinary differential equations undergoes significant changes when introducing an additional real parameter. Properties like the existence of fundamental sets of solutions or characterizations of
Externí odkaz:
http://arxiv.org/abs/1901.02059
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A combination of methods originating from non-stationary timeseries analysis is applied to two datasets of near surface turbulence in order to gain insights on the non-stationary enhancement mechanism of intermittent turbulence in the stable atmosphe
Externí odkaz:
http://arxiv.org/abs/1810.09332