Results 1 to 10 of about 850,239 (250)
Symmetries of conservation laws [PDF]
Publications de l'Institut Mathematique, 2005 We apply techniques of symmetry group analysis in solving two systems of conservation laws: a model of two strictly hyperbolic conservation laws and a zero pressure gas dynamics model, which both have no global solution, but whose solution consists of singular shock waves.
Sanja Konjik
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Conservation laws shape dissipation [PDF]
New Journal of Physics, 2018 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]
AUT Journal of Mathematics and Computing, 2023 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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Split-step quintic B-spline collocation methods for nonlinear Schrödinger equations
AIMS Mathematics, 2023 Split-step quintic B-spline collocation (SS5BC) methods are constructed for nonlinear Schrödinger equations in one, two and three dimensions in this paper.
Shanshan Wang
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Potential conservation laws [PDF]
Journal of Mathematical Physics, 2008 We prove that potential conservation laws have characteristics depending only on local variables if and only if they are induced by local conservation laws. Therefore, characteristics of pure potential conservation laws have to essentially depend on potential variables. This statement provides a significant generalization of results of the recent paper
Popovych, Roman, Kunzinger, Michael
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Jurnal Ilmu Kehutanan, 2021 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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Networks and Heterogeneous Media, 2022 A triangular system of conservation laws with discontinuous flux that models the one-dimensional flow of two disperse phases through a continuous one is formulated.
Raimund Bürger +3 more
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Structure-preserving scheme for one dimension and two dimension fractional KGS equations
Networks and Heterogeneous Media, 2023 In the paper, we study structure-preserving scheme to solve general fractional Klein-Gordon-Schrödinger equations, including one dimension case and two dimension case.
Junjie Wang +2 more
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Lie symmetry reductions and exact solutions to a generalized two-component Hunter-Saxton system
AIMS Mathematics, 2021 Based on the classical Lie group method, a generalized two-component Hunter-Saxton system is studied in this paper. All of the its geometric vector fields, infinitesimal generators and the commutation relations of Lie algebra are derived.
Huizhang Yang, Wei Liu, Yunmei Zhao
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Hamiltonians of the Generalized Nonlinear Schrödinger Equations
Mathematics, 2023 Some types of the generalized nonlinear Schrödinger equation of the second, fourth and sixth order are considered. The Cauchy problem for equations in the general case cannot be solved by the inverse scattering transform. The main objective of this paper
Nikolay A. Kudryashov
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