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   Articles with "hyperbolic system" as a keyword



Stability of Traveling Waves in a Nonlinear Hyperbolic System Approximating a Dimer Array of Oscillators

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recommendations! Published in 2024 at "Journal of Nonlinear Science"

DOI: 10.1007/s00332-025-10150-x

Abstract: We study a semilinear hyperbolic system of PDEs which arises as a continuum approximation of the discrete nonlinear dimer array model introduced by Hadad et al. (ACS Photonics 4:1974–1979, 2017). We classify the system’s traveling… read more here.

Keywords: system; traveling waves; stability; hyperbolic system ... See more keywords

Lie symmetries for the shallow water magnetohydrodynamics equations in a rotating reference frame

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recommendations! Published in 2024 at "Physica Scripta"

DOI: 10.1088/1402-4896/ad9c20

Abstract: We perform a detailed Lie symmetry analysis for the hyperbolic system of partial differential equations that describe the one-dimensional Shallow Water magnetohydrodynamics equations within a rotating reference frame. We consider a relaxing condition ∇hB≠0 for… read more here.

Keywords: reference frame; hyperbolic system; magnetohydrodynamics; lie ... See more keywords

Super-Twisting Sliding Mode Control for the Stabilization of a Linear Hyperbolic System

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recommendations! Published in 2022 at "IEEE Control Systems Letters"

DOI: 10.1109/lcsys.2022.3186230

Abstract: This letter deals with the stabilization of a linear hyperbolic system subject to a boundary disturbance. Our feedback design relies on a super-twisting control algorithm, which leads to a feedback that is continuous with respect… read more here.

Keywords: system; stabilization linear; hyperbolic system; control ... See more keywords

The Perturbed Riemann Problem with Delta Shock for a Hyperbolic System

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recommendations! Published in 2018 at "Advances in Mathematical Physics"

DOI: 10.1155/2018/4925957

Abstract: In this paper, we study the perturbed Riemann problem with delta shock for a hyperbolic system. The problem is different from the previous perturbed Riemann problems which have no delta shock. The solutions to the… read more here.

Keywords: perturbed riemann; delta shock; hyperbolic system; problem ... See more keywords