Results 11 to 20 of about 47,215 (262)
Lie Symmetry Analysis, Self-Adjointness and Conservation Law for a Type of Nonlinear Equation
In the present paper, we mainly focus on the symmetry of the solutions of a given PDE via Lie group method. Meanwhile we transfer the given PDE to ODEs by making use of similarity reductions. Furthermore, it is shown that the given PDE is self-adjoining,
Hengtai Wang, Zhiwei Zou, Xin Shen
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Conservation laws shape dissipation [PDF]
Starting from the most general formulation of stochastic thermodynamics—i.e. a thermodynamically consistent nonautonomous stochastic dynamics describing systems in contact with several reservoirs—we define a procedure to identify the conservative and the
Riccardo Rao, Massimiliano Esposito
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Computation of $\mu$-symmetry and $\mu$-conservation law for the Camassa-Holm and Hunter-Saxton equations [PDF]
This work is intended to compute the $\mu$-symmetry and $\mu$-conservation laws for the Cammasa-Holm (CH) equation and the Hunter-Saxton (HS) equation. In other words, $\mu$-symmetry, $\mu$-symmetry reduction, variational problem, and $\mu$-conservation ...
Somayeh Shaban, Mehdi Nadjafikhah
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Scrambling with conservation laws [PDF]
Abstract In this article we discuss the impact of conservation laws, specifically U(1) charge conservation and energy conservation, on scrambling dynamics, especially on the approach to the late time fully scrambled state. As a model, we consider a d + 1 dimensional (d ≥ 2) holographic conformal field theory with Einstein gravity ...
Cheng, Gong, Swingle, Brian
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Law enforcement plays a vital role to prevent the extinction of endangered species, including the Sumatran tiger. We investigated the roles of private sector involvement in Tambling Wildlife Nature Conservation (TWNC) for supporting law enforcement by ...
Ardi Bayu Firmansyah +5 more
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In this paper, a time-fractional derivative nonlinear Schrödinger equation involving the Riemann–Liouville fractional derivative is investigated. We first perform a Lie symmetry analysis of this equation, and then derive the reduced equations under the ...
Fan Qin, Wei Feng, Songlin Zhao
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This study investigates via Lie symmetry analysis the Hunter–Saxton equation, an equation relevant to the theoretical analysis of nematic liquid crystals.
Molahlehi Charles Kakuli +2 more
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On integrable conservation laws [PDF]
We study normal forms of scalar integrable dispersive (not necessarily Hamiltonian) conservation laws, via the Dubrovin–Zhang perturbative scheme. Our computations support the conjecture that such normal forms are parametrized by infinitely many arbitrary functions that can be identified with the coefficients of the quasi-linear part of the equation ...
Arsie, A, LORENZONI, PAOLO, Moro, A.
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This study examines the characteristics of the electromagnetic waves that propagate through an unbounded space filled with a homogeneous isotropic chiral medium.
Hyoung-In Lee
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KONSTRUKSI GELOMBANG KEJUT DAN GELOMBANG MENJARANG PADA ARUS KENDARAAN DI LALU LINTAS
In nonlinear conservation laws, there is a possibility of intersecting characteristic lines or even regions that are not traversed by characteristic lines. In regions where there are two or more characteristic lines, a gradien catastrophic phenomenon can
Maya Sari Syahrul, Nurweni Putri
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