Sine-Gordon and modified Korteweg--de Vries charges

Journal Article · Sun Feb 28 23:00:00 EST 1982 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.525382· OSTI ID:5540552

Case, K M; Roos, A M

The sine-Gordon and the integrated modified Korteweg--de Vries equations are shown to conserve the same infinite set of charges. The charges are determined by a recursion relation. As a consequence, the solutions of all the equations generated by the charges have in common all time-independent properties.

• Research Organization: Center for the Study of Nonlinear Dynamics, La Jolla Institute, P.O. Box 1434, La Jolla, California 92038 and
• OSTI ID: 5540552
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 23:3; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
HAMILTONIANS
KORTEWEG-DE VRIES EQUATION
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
RECURSION RELATIONS
SINE-GORDON EQUATION