Nonlinear Wave Modulation in Dispersive Media

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概要

• 論文の詳細を見る

• A wide class of nonlinear partial differential equations describing wave propagation in dispersive media is studied by using a method of multiple scales. It is investigated at first how the amplitude of a plane wave modulates itself in far-field. the result of the analysis shows that the system of equations may be classified into three types. For the case of the type 1 and the type 2A systems, the original system of equations can be reduced to a tractable single equation-a nonlinear Schrodinger equation. On the other hand, for the type 2B system, any simple reduced system cannot be obtained. Next investigated is the nonlinear modulation resulting from interactions between a plane wave and a slowly varying wave for the type 2A and the type 2B systems. It is found that such a nonlinear modulation shows a very different nature from each other for these two systems.

• 一般社団法人日本物理学会の論文
• 1974-05-15

著者

• Inoue Yoshinori

  Faculty Of Engineering Science Osaka University

• Mataumoto Yasuji

  Faculty of Engineering Science, Osaka University

関連論文

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• Solitary Waves Propagating at an Angle to a Magnetic Field in a Collisionless Warm Plasma
• Nonlinear Hydromagnetic Waves in a Collisionless Plasma with Isothermal Electron Pressure. : I. Wave Train Propagating across a Magnetic Field
• Resonant Four-Wave Interaction in a Dispersive Medium
• A Method of Multiple Scales for Integral Equations
• Nonlinear Interaction of Dispersive Waves with Equal Group Velocity
• Capillary Waves under the Action of Gravity
• Propagation of Weak Shock Waves in Materials with Memory
• Nonlinear Wave Modulation in Dispersive Media
• On Nonlinear Waves without Periodicity in a Cold Collisionless Plasma

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