On Integrability up to the Boundary of the Weak Solutions to a Class of non-Newtonian Compressible Fluids with Vacuum [PDF]
Journal of Applied and Computational Mechanics, 2021 In this paper, we study the integrability up to the boundary of the weak solutions of non-Newtonian compressible fluid with a nonlinear constitutive equation in ℝ3 bounded domain. Galerkin approximation will be used for existence of weak solutions and by
Jan Muhammad, Abdul Samad
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Linearisation of a second-order nonlinear ordinary differential equation
Acta Polytechnica, 2023 We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v.
Adhir Maharaj +3 more
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On Two Non-Ergodic Reversible Cellular Automata, One Classical, the Other Quantum
Entropy, 2023 We propose and discuss two variants of kinetic particle models—cellular automata in 1 + 1 dimensions—that have some appeal due to their simplicity and intriguing properties, which could warrant further research and applications.
Tomaž Prosen
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Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems
Axioms, 2021 This paper deals with non-perturbed and perturbed systems of nonlinear differential systems of first order with multiple time-varying delays. Here, for the considered systems, easily verifiable and applicable uniformly asymptotic stability, integrability,
Osman Tunç, Cemil Tunç, Yuanheng Wang
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Bright and dark solitons in optical fibers with parabolic law nonlinearity [PDF]
Serbian Journal of Electrical Engineering, 2013 This paper utilizes the ansatz method to obtain bright and dark 1-soliton solution to the nonlinear Schrodinger’s equation with parabolic law nonlinearity in birefringent fibers.
Milović Daniela, Biswas Anjan
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Problems of information technology support for implementation BIM concepts
Вестник Дагестанского государственного технического университета: Технические науки, 2023 Objective. The purpose of the study is to analyze the current level of development of the digital infrastructure of the urban planning sector, to identify the features of information technology support for the implementation of the BIM concept at the ...
L. I. Malyavkina +2 more
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A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
Mathematics, 2023 In this paper, we introduce a modification of the Singular Manifold Method in order to derive the associated spectral problem for a generalization of the complex version of the modified Korteweg–de Vries equation.
Paz Albares, Pilar G. Estévez
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On a class of invariant algebraic curves for Kukles systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we give a new upper bound for the degree of a class of transversal to infinity invariant algebraic curves for polynomial Kukles systems of arbitrary degree.
Osvaldo Osuna +2 more
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On integrability and cyclicity of cubic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we study the integrability of a few families of the complex cubic system. We have obtained necessary and sufficient conditions for existence of a local analytic first integral.
Maša Dukarić
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Strongly formal Weierstrass non-integrability for polynomial differential systems in $\mathbb{C}^2$
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Recently it has been given a criterion for determining the weakly formal Weierstrass non-integrability of polynomial differential systems in $\mathbb{C}^2$.
Jaume Giné, Jaume Llibre
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