Reachability Analysis of Low-Order Discrete State Reaction Networks Obeying Conservation Laws by Gergely Szlobodnyik, Gábor Szederkényi

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Conservation Laws and Exact Solutions for a Reaction-Diffusion Equation with a Variable Coefficient by Zhijie Cao, Yiping Lin

“…Then, for each kind, the conservation laws corresponding to the symmetries obtained are considered. …”
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Discontinuous nonlocal conservation laws and related discontinuous ODEs – Existence, Uniqueness, Stability and Regularity by Keimer, Alexander, Pflug, Lukas

“…We study nonlocal conservation laws with a discontinuous flux function of regularity $\mathsf {L}^{\infty }(\mathbb{R})$ in the spatial variable and show existence and uniqueness of weak solutions in $\mathsf {C}\big ([0,T]; \mathsf {L}^{1}_{\mathrm{loc}}\big )$, as well as related maximum principles. …”
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Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like Equation by Maria Ihsane El Bahi, Khalid Hilal

“…Finally, Ibragimov’s theorem has been employed to construct the conservation laws.…”
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Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation by Yang Wang, Long Wei

“…As a result, from the general theorem on conservation laws proved by Ibragimov and the symmetry generators, we find some conservation laws for this kind of equations.…”
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Approximate Symmetries Analysis and Conservation Laws Corresponding to Perturbed Korteweg–de Vries Equation by Tahir Ayaz, Farhad Ali, Wali Khan Mashwani, Israr Ali Khan, Zabidin Salleh, Ikramullah

“…This paper presents the analysis of the approximate symmetries along with conservation laws corresponding to the perturbed KdV equation for different classes of the perturbed function. …”
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Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach by Rehana Naz

“…For all understudying systems, the local conservation laws are established by utilizing the multiplier approach.…”
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Symmetry Reductions, Exact Solutions, and Conservation Laws of a Modified Hunter-Saxton Equation by Andrew Gratien Johnpillai, Chaudry Masood Khalique

“…Moreover, using the variational method, we construct infinite number of nonlocal conservation laws by the transformation of the dependent variable of the underlying equation.…”
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Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield Criterion by S. I. Senashov, A. Yakhno

“…For the first time the conservation laws for von Mises plasticity equations in three dimensions as well as for plane stress equations are given. …”
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Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation by Khadijo Rashid Adem, Chaudry Masood Khalique

“…In addition, the conservation laws for the KP-BBM equation are constructed by using the multiplier method.…”
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Lie Algebra Classification, Conservation Laws, and Invariant Solutions for a Generalization of the Levinson–Smith Equation by G. Loaiza, Y. Acevedo, O.M.L. Duque, Danilo A. García Hernández

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Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function by H. Holden, K. H. Karlsen, D. Mitrovic

“…We consider multidimensional conservation laws with discontinuous flux, which are regularized with vanishing diffusion and dispersion terms and with smoothing of the flux discontinuities. …”
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Invariant Analysis, Analytical Solutions, and Conservation Laws for Two-Dimensional Time Fractional Fokker-Planck Equation by Nisrine Maarouf, Khalid Hilal

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Delta Shock Waves for a Linearly Degenerate Hyperbolic System of Conservation Laws of Keyfitz-Kranzer Type by Hongjun Cheng

“…This paper is devoted to the study of delta shock waves for a hyperbolic system of conservation laws of Keyfitz-Kranzer type with two linearly degenerate characteristics. …”
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Group Analysis Explicit Power Series Solutions and Conservation Laws of the Time-Fractional Generalized Foam Drainage Equation by Maria Ihsane El Bahi, Khalid Hilal

“…The obtained power series solution is further examined for convergence. Conservation laws for this equation are obtained with the aid of the new conservation theorem and the fractional generalization of the Noether operators.…”
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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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