Integrals of Nonlinear Equations of Evolution and Solitary Waves (Classic Reprint) - Hardcover

Peter D. Lax

9780267853830: Integrals of Nonlinear Equations of Evolution and Solitary Waves (Classic Reprint)

Hardcover

ISBN 10: 0267853831 ISBN 13: 9780267853830

Publisher: Forgotten Books, 2020

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Excerpt from Integrals of Nonlinear Equations of Evolution and Solitary Waves

In section 1 we present a general principle for associating nonlinear equations of evolutions with linear Operators so that the eigenvalues of the linear operator are integrals of the nonlinear equation. A striking instance of such a procedure is the discovery by Gardner, Miura and Kruskal that the eigenvalues of the Schrodinger operator are integrals of the Korteweg de Vries equation.

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