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

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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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Authors and Affiliations

  1. Department of Mathematics, University of California, Berkeley, CA 94720, USA.¶E-mail: beresty@math.berkeley.edu, , , , , , US

    Yuri Y. Berest

  2. Université de Montréal, Centre de Recherches Mathématiques, C.P. 6128, succ. Centre-Ville, Montreal (Quebec), H3C 3J7, Canada. E-mail: beresty@crm.umontreal.ca, loutseni@crm.umontreal.ca, , , , , , CA

    Igor M. Loutsenko

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  1. Yuri Y. Berest
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  2. Igor M. Loutsenko
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Received: 3 April 1996 / Accepted: 1 April 1997

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Berest, Y., Loutsenko, I. Huygens' Principle in Minkowski Spaces and Soliton Solutions of the Korteweg–de Vries Equation . Comm Math Phys 190, 113–132 (1997). https://doi.org/10.1007/s002200050235

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  • DOI: https://doi.org/10.1007/s002200050235

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