Asymptotic Behavior of a Shallow-Water Soliton Reflected at a Sloping Beach

  • N. Sugimoto
  • T. Kakutani
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Summary

This paper deals with a long-time asymptotic behavior of a shallow water soliton reflected at a sloping beach. Based on the edge-layer theory, it is shown that the boundary-value problem for the Boussinesq equation under the “reduced” boundary condition is simplified to an “initial value” problem for the Korteweg-de Vries equation in the form of the spatial evolution of the reflected wave. Solving it numerically, the asymptotic behavior is demonstrated and compared with the one which evolves from the “initial value” obtained by solving the full nearshore behavior by the boundary element method.

Keywords

Soliton Beach 

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • N. Sugimoto
    • 1
  • T. Kakutani
    • 1
  1. 1.Department of Mechanical Engineering Faculty of Engineering ScienceOsaka UniversityToyonaka, Osaka 560Japan

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