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Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

Robert M. Miura, Clifford S. Gardner, Martin D. Kruskal

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Source: Crossref

Published: Aug 1, 1968

DOI: 10.1063/1.1664701

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Source abstract

With extensive use of the nonlinear transformations presented in Paper I of the series, a variety of conservation laws and constants of motion are derived for the Korteweg-de Vries and related equations. A striking connection with the Sturm-Liouville eigenvalue problem is exploited.

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