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

Alan Chodos
Phys. Rev. D 21, 2818 – Published 15 May 1980
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Abstract

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.

  • Received 7 August 1979

DOI:https://doi.org/10.1103/PhysRevD.21.2818

©1980 American Physical Society

Authors & Affiliations

Alan Chodos

  • Department of Physics, Yale University, New Haven, Connecticut 06520

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Vol. 21, Iss. 10 — 15 May 1980

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