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

Sinopsis

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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