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Conserved vectors and solutions of the two-dimensional potential KP equation
Open Physics, 2023 This article investigates the potential Kadomtsev–Petviashvili (pKP) equation, which describes the evolution of small-amplitude nonlinear long waves with slow transverse coordinate dependence.
Khalique Chaudry Masood +1 more
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SYMMETRY AND CONSERVATION LAWS [PDF]
Proceedings of the National Academy of Sciences, 1964 Symmetry and invariance considerations, and even conservation laws, played undoubtedly an important role in the thinking of the early physicists, such as Galileo and Newton, and probably even before then. However, these considerations were not thought to be particularly important and were articulated only rarely.
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A Time Two-Mesh Compact Difference Method for the One-Dimensional Nonlinear Schrödinger Equation
Entropy, 2022 The nonlinear Schrödinger equation is an important model equation in the study of quantum states of physical systems. To improve the computing efficiency, a fast algorithm based on the time two-mesh high-order compact difference scheme for solving the ...
Siriguleng He, Yang Liu, Hong Li
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Mathematics, 2022 Invariant finite-difference schemes are considered for one-dimensional magnetohydrodynamics (MHD) equations in mass Lagrangian coordinates for the cases of finite and infinite conductivity.
Vladimir Dorodnitsyn, Evgeniy Kaptsov
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A conservation law with multiply discontinuous flux modelling a flotation column
Networks and Heterogeneous Media, 2018 Flotation is a unit operation extensively used in the recovery of valuable minerals in mineral processing and related applications. Essential insight to the hydrodynamics of a flotation column can be obtained by studying just two phases: gas and fluid ...
Raimund Bürger +2 more
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On the Generation of Infinitely Many Conservation Laws of the Black-Scholes Equation
Computation, 2020 Construction of conservation laws of differential equations is an essential part of the mathematical study of differential equations. In this paper we derive, using two approaches, general formulas for finding conservation laws of the Black-Scholes ...
Winter Sinkala
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Symmetry Analysis and Conservation Laws for a Time-Fractional Generalized Porous Media Equation
Mathematics, 2022 The symmetry group method is applied to study a class of time-fractional generalized porous media equations with Riemann–Liouville fractional derivatives. All point symmetry groups and the corresponding optimal subgroups are determined.
Tianhang Gong, Wei Feng, Songlin Zhao
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Control of systems of conservation laws with boundary errors
Networks and Heterogeneous Media, 2009 The general problem under consideration in this paper is the stability analysisof hyperbolic systems. Some sufficient criteria on the boundaryconditions exist for the stability of a system of conservation laws.
Christophe Prieur
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A Time Two-Mesh Finite Difference Numerical Scheme for the Symmetric Regularized Long Wave Equation
Fractal and Fractional, 2023 The symmetric regularized long wave (SRLW) equation is a mathematical model used in many areas of physics; the solution of the SRLW equation can accurately describe the behavior of long waves in shallow water. To approximate the solutions of the equation,
Jingying Gao +3 more
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Correlation functions, Bell's inequalities and the fundamental conservation laws
, 2004 I derive the correlation function for a general theory of two-valued spin variables that satisfy the fundamental conservation law of angular momentum. The unique theory-independent correlation function is identical to the quantum mechanical correlation ...
Afriat A. +6 more
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