Group-theoretic approach to the conservation laws of the KP equation in Lagrangian and Hamiltonian formalism
type: Item
instance of: scholarly article
title: Group-theoretic approach to the conservation laws of the KP equation in Lagrangian and Hamiltonian formalism
zbMATH Open document ID: 0641.35075
DOI: 10.1007/BF00672245
author: A. Roy Chowdhury
author: Sawpna Roy
published in: International Journal of Theoretical Physics
publication date: 1987-01-01T00:00:00Z
review text: The conservation laws - precisely speaking, the basis of the conservation laws - are obtained through the use of Noether's theorem, Lie symmetry, and a theorem due to Ibragimov. Though in principle for each generator of Lie symmetry there should be a different conserved vector, due to the closed Lie algebra generated by the generators, some of these vectors become no longer independent. The theorem of Ibragimov is used to construct a basis in the case of the KP equation in three dimensions. It is then shown how the same analysis can be performed through the Hamiltonian formalism.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 4044374
zbMATH Keywords: conservation laws
zbMATH Keywords: Noether's theorem
zbMATH Keywords: Lie symmetry
zbMATH Keywords: closed Lie algebra
zbMATH Keywords: theorem of Ibragimov
zbMATH Keywords: KP equation
zbMATH Keywords: Hamiltonian formalism
MaRDI profile type: Publication
cites work: Nonlinear partial differential equations in engineering. Vol. II
cites work: On the Hamiltonian structure of evolution equations
cites work: Q4066182
description: scientific article; zbMATH DE number 4044374