Simple connection between conservation laws in the Korteweg--de Vriesand sine-Gordon systems

Journal Article · Thu May 15 00:00:00 EDT 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.2818· OSTI ID:5317774

Chodos, A

An infinite sequence of conserved quantities follows from the Lax representation in both the Korteweg--de Vries and sine-Gordon systems. We show that these two sequences are related by a simple substitution. In an appendix, two different methods of deriving conservation laws from the Lax representation are presented.

• Research Organization: Department of Physics, Yale University, New Haven, Connecticut 06520
• DOE Contract Number: EY-76-C-02-3075
• OSTI ID: 5317774
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645301 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONSERVATION LAWS
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENVALUES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
KORTEWEG-DE VRIES EQUATION
LIGHT CONE
SINE-GORDON EQUATION
SPACE-TIME