オガワ　トシユキ   OGAWA Toshiyuki   小川　知之    所属   明治大学  総合数理学部    職種   専任教授
言語種別	日本語
発行・発表の年月	2001/01
形態種別	学術雑誌
査読	査読あり
標題	Periodic Travelling Waves and Their Modulation
執筆形態	単著
掲載誌名	Japan Journal of Industrial and Applied Mathematics
掲載区分	国内
巻・号・頁	18,521-542頁
著者・共著者	Toshiyuki Ogawa
概要	A family of periodic travelling wave solutions parameterized by the wavenumber is shown to bifurcate from the trivial solution in a perturbed KdV equation. Studying linearized eigenvalue problem about each periodic travelling wave solution, all of them are shown to be unstable immediately after the bifurcation in contrast to the Eckhaus stability/instability. Analysis from a dynamical viewpoint suggests that "modulated periodic waves" are obtained by a secondary bifurcation from periodic travelling waves as a super critical Hopf bifurcation.
DOI	10.1007/BF03168589
ISSN	09167005
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