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

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

1997-04-18

arxiv.org/abs/solv-int/9704012v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

23 pages, LaTeX, to be published in Comm.Math.Phys (1997)

Scientific paper

10.1007/s002200050235

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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