Results 41 to 50 of about 445,110 (284)

Conservation laws and normal forms of evolution equations

open access: yes, 2010
We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws.
Abellanas   +35 more
core   +1 more source

A geometric study of the dispersionless Boussinesq type equation [PDF]

open access: yes, 2005
We discuss the dispersionless Boussinesq type equation, which is equivalent to the Benney-Lax equation, being a system of equations of hydrodynamical type. This equation was discussed in .
Alexander Verbovetsky   +9 more
core   +5 more sources

Loop scattering in two-dimensional QCD [PDF]

open access: yes, 1995
Using the integrability conditions that we recently obtained in QCD$_2$ with massless fermions, we arrive at a sufficient number of conservation laws to be able to fix the scattering amplitudes involving a local version of the Wilson loop operator ...
A.M. Polyakov   +9 more
core   +2 more sources

Local conservation laws of second-order evolution equations [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2008
11 pages, minor ...
Popovych, Roman, Samoilenko, Anatoly M.
openaire   +3 more sources

Extension the Noether's theorem to Lagrangian formulation with nonlocality

open access: yes, 2012
A Lagrangian formulation with nonlocality is investigated in this paper. The nonlocality of the Lagrangian is introduced by a new nonlocal argument that is defined as a nonlocal residual satisfying the zero mean condition.
Atkinson C.   +3 more
core   +1 more source

New Integrable Nonlinear Lattice Systems with Two Adjustable Coupling Parameters

open access: yesNonlinear Engineering, 2013
The double reduction when having been applied to the fourth-order spectral operator on a discrete spatial support is shown to inspire early unknown multicomponent semidiscrete integrable nonlinear systems associated with the nonsinglular spectral
Vakhnenko Oleksiy O.
doaj   +1 more source

Microscopic local conservation laws for classical fluids [PDF]

open access: yesThe European Physical Journal Special Topics, 2015
The local densities and current densities of conserved quantities are expressed in a tutorial scope, for a fluid under arbitrary off-equilibrium conditions, in terms of the two-particle potential W(r) and of the one- and two-particle densities in phase space f and f2.
openaire   +2 more sources

Sustainable Synthesis of Bio‐Based Magnetic and Conductive Wood for Electromagnetic Interference Shielding Applications

open access: yesAdvanced Engineering Materials, EarlyView.
A wood‐based magnetic and conductive material called Magwood (MW), capable of blocking almost 99.99% of electromagnetic waves (in the X‐band frequency range), is synthesized using a simple, solvent‐free process. MW is lightweight, resists water, and is flame‐retardant, making it a promising alternative for shielding electronics. The rapid proliferation
Akash Madhav Gondaliya   +3 more
wiley   +1 more source

Numerical Study of a Thermally Stressed State of a Rod

open access: yesAdvances in Mathematical Physics, 2019
This paper considers a new method based on the law of energy conservation for the study of thermo-stress-strain state of a rod of limited length with simultaneous presence of local heat fluxes, heat exchanges, and thermal insulation.
Anarbay Kudaykulov   +4 more
doaj   +1 more source

Symmetries and Local Conservation Laws of Variational Schemes for the Surface Plasmon Polaritons

open access: yes, 2019
The relation between symmetries and local conservation laws, known as Noether's theorem, plays an important role in modern theoretical physics. As a discrete analog of the differentiable physical system, a good numerical scheme should admit the discrete ...
Chen, Qiang   +5 more
core   +1 more source

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