ゆっくり変動するモード間の共振的結合を伴う非線形偏微分方程式の数値シミュレーション

DOI Web Site 参考文献4件

書誌事項

タイトル別名
  • Numerical Integration of Nonlinear PDE with Resonantly-coupled Bands of Slowly-varying Modes
  • ユックリ ヘンドウスル モードカン ノ キョウシンテキ ケツゴウ オ トモナウ

この論文をさがす

抄録

A new approach to numerical integration of nonlinear PDE with two resonantly-coupling bands of slowly evolving modes, originated in the problem's symmetry, is developed. The bands are centered around a certain finite wavenumber and wavenumber equal to zero, respectively, that gives rise to a complicated spatiotemporal behaviour of solutions. The approach is based on reduction of the problem to a truncated set of coupled equations for Fourier-transforms of the order parameter supplemented, by exclusion of the slaved mode. Though the basic equation is stiff, an explicit time marching by Runge-Kutta method with some techniques is successfully performed. Application of the approach to the particular equation governing seismic waves yields solutions that display a new type of turbulence.

収録刊行物

参考文献 (4)*注記

もっと見る

詳細情報 詳細情報について

問題の指摘

ページトップへ