4 citations · 8 across the 5 of their papers we have counts for
5 papers
Model-agnostic machine learning of conservation laws from data
Shivam Arora, Alex Bihlo, Rüdiger Brecht +1
We present a machine learning based method for learning first integrals of systems of ordinary differential equations from given trajectory data. The method is model-agnostic in th…
Complete Classification of Local Conservation Laws for Generalized Cahn-Hilliard-Kuramoto-Sivashinsky Equation
Pavel Holba
In the present paper we consider nonlinear multidimensional Cahn-Hilliard and Kuramoto-Sivashinsky equations that have many important applications in physics and chemistry, and a c…
Nonexistence of local conservation laws for the generalized Swift-Hohenberg equation
Pavel Holba
We prove that the generalized Swift--Hohenberg equation with nonlinear right-hand side, a natural generalization of the Swift--Hohenberg equation arising in physics and describing…
Reductions of the universal hierarchy and rdDym equations and their symmetry properties
P. Holba, I. S. Krasil'shchik, O. I. Morozov +1
We consider the equations and that arise as reductions of the universal hierarchy and…
2D reductions of the equation and their nonlocal symmetries
P. Holba, I. S. Krasil'shchik, O. I. Morozov +1
We consider the 3D equation and its 2D reductions: (1) (which is equivalent to the Gibbons-Tsarev equ…