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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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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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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Kinematic calculation of micro mirror elements in micro electro-mechanical systems (MEMS) by D. I. Chernyavsky, D. D. Chernyavsky

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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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The Method of Lines for Ternary Diffusion Problems by Henryk Leszczyński, Milena Matusik

“…The proposed ODEs satisfy the mass conservation law. The stability of solutions of these ODEs with respect to discrete L2 norms and discrete W1,∞ norms is investigated. …”
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Conservative Difference Scheme for Generalized Rosenau-KdV Equation by Yan Luo, Youcai Xu, Minfu Feng

“…The difference scheme shows a discrete analogue of the main conservation law associated to the equation. On the other hand the scheme is implicit and stable with second order convergence. …”
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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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A Conservation Difference Scheme of Generalized Boussinesq Equation by Xiaoli Jiang, Xiaofeng Wang

“…The efficiency of the proposed method is tested to numerical results that the convergence of space is of second-order and the conservation law of energy is verified very well for the energy difference.…”
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A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow by Xindong Li, Hongxing Rui

“…In the present mixed finite element, the approximate velocity is continuous and the conservation law still holds locally. The LBB consistent condition is established, while the error estimates are obtained for both the velocity and the pressure. …”
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Global Well-Posedness for Coupled System of mKdV Equations in Analytic Spaces by Khaled Zennir, Aissa Boukarou, Rehab Nasser Alkhudhayr

“…Moreover, owing to the approximate conservation law, we prove the existence of global solution.…”
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