Canonical global symmetry and quantal conservation laws for a system with singular higher order Lagrangian

1997 ◽  
Vol 36 (2) ◽  
pp. 431-439
Author(s):  
Zi-ping Li ◽  
Li Wang
Keyword(s):  
Conservation Laws ◽  
Higher Order ◽  
Global Symmetry ◽  
Higher Order Lagrangian

scholarly journals On Galilean Invariant and Energy Preserving BBM-Type Equations

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 878
Author(s):  
Alexei Cheviakov ◽  
Denys Dutykh ◽  
Aidar Assylbekuly
Keyword(s):  
Wave Equation ◽  
Conservation Laws ◽  
Numerical Simulations ◽  
Solitary Waves ◽  
Local Symmetry ◽  
Symmetry And Conservation Laws ◽  
Higher Order ◽  
Special Equation ◽  
Long Wave ◽  
Local Symmetries

We investigate a family of higher-order Benjamin–Bona–Mahony-type equations, which appeared in the course of study towards finding a Galilei-invariant, energy-preserving long wave equation. We perform local symmetry and conservation laws classification for this family of Partial Differential Equations (PDEs). The analysis reveals that this family includes a special equation which admits additional, higher-order local symmetries and conservation laws. We compute its solitary waves and simulate their collisions. The numerical simulations show that their collision is elastic, which is an indication of its S−integrability. This particular PDE turns out to be a rescaled version of the celebrated Camassa–Holm equation, which confirms its integrability.

scholarly journals Hyperbolic three-string vertex

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Atakan Hilmi Fırat
Keyword(s):  
Boundary Value Problem ◽  
Conservation Laws ◽  
Riemann Surfaces ◽  
Higher Order ◽  
Local Coordinates ◽  
Pants Decomposition ◽  
Fuchsian Equation ◽  
String Amplitudes ◽  
Hyperbolic Riemann Surfaces ◽  
Liouville’S Equation

Abstract We begin developing tools to compute off-shell string amplitudes with the recently proposed hyperbolic string vertices of Costello and Zwiebach. Exploiting the relation between a boundary value problem for Liouville’s equation and a monodromy problem for a Fuchsian equation, we construct the local coordinates around the punctures for the generalized hyperbolic three-string vertex and investigate their various limits. This vertex corresponds to the general pants diagram with three boundary geodesics of unequal lengths. We derive the conservation laws associated with such vertex and perform sample computations. We note the relevance of our construction to the calculations of the higher-order string vertices using the pants decomposition of hyperbolic Riemann surfaces.

Accurate signal reconstruction for higher order Lagrangian–Eulerian back-coupling in multiphase turbulence

2017 ◽  
Vol 49 (5) ◽  
pp. 055507 ◽  
Author(s):  
D Zwick ◽  
E Sakhaee ◽  
S Balachandar ◽  
A Entezari
Keyword(s):  
Signal Reconstruction ◽  
Higher Order ◽  
Higher Order Lagrangian

scholarly journals Higher order conservation laws. II

1970 ◽  
Vol 4 (4) ◽  
pp. 469-475 ◽  
Author(s):  
Alexander P. Stone
Keyword(s):  
Conservation Laws ◽  
Higher Order

Material conservation laws in higher-order shell theories

1985 ◽  
Vol 21 (10) ◽  
pp. 1035-1045 ◽  
Author(s):  
R. Kienzler ◽  
A. Golebiewska-Herrmann
Keyword(s):  
Conservation Laws ◽  
Higher Order ◽  
Material Conservation

scholarly journals Higher-order Lagrangian perturbative theory for the Cosmic Web

2014 ◽  
Vol 11 (S308) ◽  
pp. 119-120
Author(s):  
Takayuki Tatekawa ◽  
Shuntaro Mizuno
Keyword(s):  
Perturbation Theory ◽  
Fourth Order ◽  
Initial Conditions ◽  
Higher Order ◽  
Order Perturbation ◽  
Initial Condition ◽  
The Difference ◽  
Fifth Order ◽  
The Universe ◽  
Higher Order Lagrangian

AbstractZel'dovich proposed Lagrangian perturbation theory (LPT) for structure formation in the Universe. After this, higher-order perturbative equations have been derived. Recently fourth-order LPT (4LPT) have been derived by two group. We have shown fifth-order LPT (5LPT) In this conference, we notice fourth- and more higher-order perturbative equations. In fourth-order perturbation, because of the difference in handling of spatial derivative, there are two groups of equations. Then we consider the initial conditions for cosmological N-body simulations. Crocce, Pueblas, and Scoccimarro (2007) noticed that second-order perturbation theory (2LPT) is required for accuracy of several percents. We verify the effect of 3LPT initial condition for the simulations. Finally we discuss the way of further improving approach and future applications of LPTs.

scholarly journals A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for solid dynamics

2019 ◽  
Vol 353 ◽  
pp. 467-490 ◽  
Author(s):  
Evan J. Lieberman ◽  
Xiaodong Liu ◽  
Nathaniel R. Morgan ◽  
Darby J. Luscher ◽  
Donald E. Burton
Keyword(s):  
Discontinuous Galerkin ◽  
Higher Order ◽  
Hydrodynamic Method ◽  
Solid Dynamics ◽  
Higher Order Lagrangian
Sign in / Sign up

Export Citation Format

Share Document