Results 1 to 10 of about 2,343,705 (241)
New conservation laws and exact solutions of the special case of the fifth-order KdV equation
Journal of Ocean Engineering and Science, 2022 The current study deals with the Kaup-Kupershmidt (KK) equation to construct formal Lagrangian, conservation laws, and exact solutions. KK is basically a special case of the 5th-order KdV equation. The conservation laws obtained by using the conservation
Arzu Akbulut +2 more
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Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield Criterion
Abstract and Applied Analysis, 2013 For the first time the conservation laws for von Mises plasticity equations in three dimensions as well as for plane stress equations are given. In the plane case conservation laws are used to construct characteristics for the Cauchy problem.
S. I. Senashov, A. Yakhno
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Geometric conservation laws for cells or vesicles with membrane nanotubes or singular points
Journal of Nanobiotechnology, 2006 On the basis of the integral theorems about the mean curvature and Gauss curvature, geometric conservation laws for cells or vesicles are proved. These conservation laws may depict various special bionano structures discovered in experiments, such as the
Yin Jie, Yin Yajun
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Abstract and Applied Analysis, 2013 In this paper, conservation laws for the (2+1)-dimensional ANNV equation and KP-BBM equation with higher-order mixed derivatives are studied. Due to the existence of higher-order mixed derivatives, Ibragimov’s “new conservation theorem” cannot be applied
Li-hua Zhang
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Scaling Symmetries and Conservation Laws for Variable-coefficients Nonlinear Dispersive Equations
Trends in Computational and Applied Mathematics, 2019 Scaling symmetries arise in different branches of physics, and symmetry-based approaches are powerful tools for studying scaling-invariant models since they can provide conservation laws that are not obvious by inspection.
Érica M. Silva, Wescley L. Souza
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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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Mathematics, 2021 In this work, we study the generalized 2D equal-width equation which arises in various fields of science. With the aid of numerous methods which includes Lie symmetry analysis, power series expansion and Weierstrass method, we produce closed-form ...
Chaudry Masood Khalique, Karabo Plaatjie
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Invariant Solutions and Conservation Laws of the (2 + 1)-Dimensional Boussinesq Equation
Abstract and Applied Analysis, 2014 Invariant solutions and conservation laws of the (2 + 1)-dimensional Boussinesq equation are studied. The Lie symmetry approach is used to obtain the invariant solutions.
Wenjuan Rui, Peiyi Zhao, Yufeng Zhang
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Conservation Laws For Every Quantum Measurement Outcome [PDF]
QuantumIn the paradigmatic example of quantum measurements, whenever one measures a system which starts in a superposition of two states of a conserved quantity, it jumps to one of the two states, implying different final values for the quantity that should ...
Daniel Collins, Sandu Popescu
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Conservation Laws for Potential Vorticity in a Salty Ocean or Cloudy Atmosphere
Geophysical Research Letters, 2022 One of the most important conservation laws in atmospheric and oceanic science is conservation of potential vorticity. The original derivation is approximately a century old, in the work of Rossby and Ertel, and it is related to the celebrated ...
Parvathi Kooloth +2 more
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