Numerical Integration of Nonlinear PDE with Resonantly-coupled Bands of Slowly-varying Modes
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- Tsuboi Kazuhiro
- Ibaraki University
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- Tribelsky Michael I.
- Graduate School of the University of Tokyo
Bibliographic Information
- Other Title
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- 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
- 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
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Abstract
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.
Journal
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- Transactions of the Japan Society for Industrial and Applied Mathematics
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Transactions of the Japan Society for Industrial and Applied Mathematics 7 (4), 363-372, 1997
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390282680744416000
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- NII Article ID
- 110001883666
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 4365339
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed