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

D. Lax, Peter

9781332144877: Integrals of Nonlinear Equations of Evolution and Solitary Waves (Classic Reprint)

Softcover

ISBN 10: 133214487X ISBN 13: 9781332144877

Verlag: Forgotten Books, 2018

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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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Biograf�a del autor

Peter D. Lax, PhD, is Professor Emeritus of Mathematics at the Courant Institute of Mathematical Sciences at New York University. Dr. Lax is the recipient of the Abel Prize for 2005 "for his groundbreaking contributions to the theory and application of partial differential equations and to the computation of their solutions." * A student and then colleague of Richard Courant, Fritz John, and K. O. Friedrichs, he is considered one of the world's leading mathematicians. He has had a long and distinguished career in pure and applied mathematics, and with over fifty years of experience in the field, he has made significant contributions to various areas of research, including integratable systems, fluid dynamics, and solitonic physics, as well as mathematical and scientific computing.

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