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Huygens' Principle in Minkowski Spaces and Soliton Solutions of the Korteweg-de Vries Equation

Y. Berest·I. Loutsenko
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Abstract

A new class of linear second order hyperbolic partial differential operators satisfying Huygens' principle in Minkowski spaces is presented. The construction reveals a direct connection between Huygens' principle and the theory of solitary wave solutions of the Korteweg-de Vries equation.

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Y. Berest, I. Loutsenko. 1997-04-18. Huygens' Principle in Minkowski Spaces and Soliton Solutions of the Korteweg-de Vries Equation. https://doi.org/10.1007/s002200050235

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