scholarly journals Symmetries and conservation laws of a KdV6 equation

2018 ◽  
Vol 11 (4) ◽  
pp. 631-641 ◽  
Author(s):  
María Santos Bruzón ◽  
◽  
Tamara María Garrido
Keyword(s):  
Conservation Laws ◽  
Kdv6 Equation

Harmonic Maps, Conservation Laws and Moving Frames

2002 ◽  
Author(s):  
Frédéric Hélein
Keyword(s):  
Conservation Laws ◽  
Harmonic Maps ◽  
Moving Frames

Systems of Conservation Laws 1

1999 ◽  
Author(s):  
Denis Serre
Keyword(s):  
Conservation Laws ◽  
Systems Of Conservation Laws

Bosonic Symmetries, Solutions, and Conservation Laws for the Dirac Equation with Nonzero Mass

2013 ◽  
Vol 58 (6) ◽  
pp. 523-533 ◽  
Author(s):  
V.M. Simulik ◽  
◽  
I.Yu. Krivsky ◽  
I.L. Lamer ◽  
◽  
...  
Keyword(s):  
Dirac Equation ◽  
Conservation Laws

Classification of homogeneous quadratic conservation laws with viscous terms

2007 ◽  
Vol 26 (2) ◽  
Author(s):  
Jane Hurley Wenstrom ◽  
Bradley J. Plohr
Keyword(s):  
Conservation Laws

Conserved Quantities for the General Linear Heat Equation

2016 ◽  
pp. 4437-4439
Author(s):  
Adil Jhangeer ◽  
Fahad Al-Mufadi
Keyword(s):  
Evolution Equation ◽  
Heat Equation ◽  
Conservation Laws ◽  
Exact Solutions ◽  
Lagrangian Approach ◽  
General Linear ◽  
Conserved Quantities ◽  
Linear Heat ◽  
The Family ◽  
Partial Lagrangian

In this paper, conserved quantities are computed for a class of evolution equation by using the partial Noether approach [2]. The partial Lagrangian approach is applied to the considered equation, infinite many conservation laws are obtained depending on the coefficients of equation for each n. These results give potential systems for the family of considered equation, which are further helpful to compute the exact solutions.

An analogy between electromagnetic and internal waves

2019 ◽  
Vol 485 (4) ◽  
pp. 428-433
Author(s):  
V. G. Baydulov ◽  
P. A. Lesovskiy
Keyword(s):  
Angular Momentum ◽  
Conservation Laws ◽  
Internal Wave ◽  
Special Relativity ◽  
Internal Waves ◽  
Maxwell Equations ◽  
Wave Equations ◽  
Lagrange Function ◽  
Lorentz Transformations ◽  
Symmetry Transformations

For the symmetry group of internal-wave equations, the mechanical content of invariants and symmetry transformations is determined. The performed comparison makes it possible to construct expressions for analogs of momentum, angular momentum, energy, Lorentz transformations, and other characteristics of special relativity and electro-dynamics. The expressions for the Lagrange function are defined, and the conservation laws are derived. An analogy is drawn both in the case of the absence of sources and currents in the Maxwell equations and in their presence.

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