Notes on Conservation Laws, Equations of Motion of Matter, and Particle Fields in Lorentzian and Teleparallel de Sitter Space-Time Structures by Waldyr A. Rodrigues, Samuel A. Wainer

“…The dSLM is naturally oriented and time oriented and is the arena used to study the energy-momentum conservation law and equations of motion for physical systems living there. …”
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Conservation Laws, Symmetry Reductions, and New Exact Solutions of the (2 + 1)-Dimensional Kadomtsev-Petviashvili Equation with Time-Dependent Coefficients by Li-hua Zhang

“…Based on the obtained symmetries, many nontrivial and time-dependent conservation laws for the equation are obtained with the help of Ibragimov’s new conservation theorem. …”
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Conservation Laws and Self-Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three-by-Three Discrete Matrix Spectral Problem by Yu-Qing Li, Bao-Shu Yin

“…Moreover, infinitely many conservation laws of the resulting hierarchy are obtained.…”
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Symmetry Groups, Similarity Reductions, and Conservation Laws of the Time-Fractional Fujimoto–Watanabe Equation Using Lie Symmetry Analysis Method by Baoyong Guo, Huanhe Dong, Yong Fang

“…Furthermore, the conservation laws are also acquired by Ibragimov’s theory.…”
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Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation by Huizhang Yang, Wei Liu, Yunmei Zhao

“…Based on these symmetry reductions, some exact traveling wave solutions are obtained by using the tanh method and Kudryashov method. Finally, the conservation laws to the (3 + 1)-dimensional generalized BKP equation are presented by invoking the multiplier method.…”
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A hybrid model for traffic flow and crowd dynamics with random individual properties by Veronika Schleper

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Analysis of the vacuum solution of the five-dimensional Einstein field equations with negative cosmological constant via variational symmetries by Fatemeh Ahangari

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Structured Dynamics in the Algorithmic Agent by Giulio Ruffini, Francesca Castaldo, Jakub Vohryzek

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A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation by Boyaval, Sébastien

Subjects: “…Symmetric-hyperbolic systems of conservation laws…”
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A mixed system modeling two-directional pedestrian flows by Paola Goatin, Matthias Mimault

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The formulation of sound transmission problems through the boundaries of three-dimensional media and through plates by A. V. Zakharov

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Noether symmetries, solutions and conserved quantities of a new (3+1)-dimensional Painlevé integrable fifth-order equation with third-order temporal dispersion: Multi-analytical ap... by Oke Davies Adeyemo

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STRESS INTENSITY FACTORS OF TYPICAL PERIODIC CRACKS IN FIN-SHAPED SHELL UNDER BENDING by YUAN WeiJun, XIE YuJun

Subjects: “…Conservation law…”
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Kinematic calculation of micro mirror elements in micro electro-mechanical systems (MEMS) by D. I. Chernyavsky, D. D. Chernyavsky

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On the Construction of Phenomenological Coronal Mass Ejection Models by D. V. Peregoudov

“…We recall basic heliospheric magnetohydrodynamical equations and show that they lead to a number of conservation laws. These conservation laws should be taken into account when developing a phenomenological CME model. …”
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Noether and partial Noether approach for the nonlinear (3+1)-dimensional elastic wave equations. by Akhtar Hussain, M Usman, Fiazuddin Zaman, Ahmed M Zidan, Jorge Herrera

“…Instead, we used an extended approach based on the concept of a partial Lagrangian to uncover conservation laws. Both techniques account for the conservation laws of linear momentum and energy within the model. …”
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Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations by M. Nadjafikhah, A. Mokhtary

“…Indeed, as a main consequence, this extended procedure is applied in order to compute the approximate conservation laws and approximate recursion operators corresponding to these types of equations. …”
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Numerical Feedback Stabilization with Applications to Networks by Simone Göttlich, Peter Schillen

“…The focus is on the numerical consideration of feedback boundary control problems for linear systems of conservation laws including source terms. We explain under which conditions the numerical discretization can be used to design feedback boundary values for network applications such as electric transmission lines or traffic flow systems. …”
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Entropy Schemes for One-Dimensional Convection-Diffusion Equations by Rongsan Chen

“…In this paper, we extend the entropy scheme for hyperbolic conservation laws to one-dimensional convection-diffusion equation. …”
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Some Reduction and Exact Solutions of a Higher-Dimensional Equation by Guangming Wang, Zhong Han

“…The conservation laws of the (3+1)-dimensional Zakharov-Kuznetsov equation were obtained using Noether’s theorem after an interesting substitution u=vx to the equation. …”
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