The Derivative-Expansion Method and Nonlinear Dispersive Waves

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概要

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• The method of derivative-expansion with multiple scales is applied in a generalized from to the analysis of weak nonlinear dispersive waves. It is shown that in a certain case a nonlinear Schrodinger equation, which describes a nonlinear slow amplitude modulation of wave trains, can be derived from the condition that the perturbation expansion be free from secular terms. A reduction to the Korteweg-de Vries equation for long waves is also discussed.

• 社団法人日本物理学会の論文
• 1973-11-05

著者

• Kawahara Takuji

  Research Institute For Mathematical Sciences Kyoto University

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• Derivative-Expansion Method for Nonlinear Waves on a Liquid Layer of Slowly Varying Depth
• Nonlinear Self-Modulation of Capillary-Gravity Waves on Liquid Layer
• The Derivative-Expansion Method and Nonlinear Dispersive Waves

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