The Tanaka Instability of Traveling Waves in Hamiltonian Systems (Mathematical aspects of nonlinear waves and their applications)

機関リポジトリ (HANDLE) オープンアクセス

この論文をさがす

説明

This paper reviews the linear instability of nonlinear traveling waves in Hamiltonian systems subject to superharmonic perturbations. Tanaka's instability, characterized by a zero eigenvalue with geometric multiplicity of one and algebraic multiplicity equal to or greater than four, occurs in the presence of translationally symmetric traveling wave solutions at the extrema of energy with respect to wave speed. The theory finds application in the study of the superharmonic instability of wave equations with a Hamiltonian structure, such as water waves with constant vorticity.

収録刊行物

詳細情報 詳細情報について

  • CRID
    1050567175332623744
  • NII書誌ID
    AN00061013
  • ISSN
    18802818
  • HANDLE
    2433/255087
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • IRDB

問題の指摘

ページトップへ