Published August 3, 2007 | Version v1
Journal article

The Tresse theorem and differential invariants for the nonlinear Schroedinger equation

Creators

  • 1. Institute of Mathematics, University of Bialystok (Poland)

Description

In the present paper by using the Tresse theorem we describe a method of construction of all invariants and the differential invariants for a given Lie group, which means invariants containing derivatives of any order. Some important examples from analysis, geometry and physics are presented. In particular, invariants for the nonlinear Schroedinger equation will be investigated

Additional details

Identifiers

DOI
10.1088/1751-8113/40/31/011;
PII
S1751-8113(07)46493-9;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
40
Journal Issue
31
Journal Page Range
p. 9331-9342
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39012876
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
GEOMETRY; LIE GROUPS; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY GROUPS; WAVE EQUATIONS