<RESEARCH REPORT>Space and Time Evolution of Two Nonlinearly Coupled Variables : Special Solutions

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概要

• 論文の詳細を見る

• The system of two coupled linear differential equations are studied assuming that the coupling terms are proportional to the product of the dependent variables, representing e. g. intensities or populations. It is furthermore assumed that these variables experience different linear dissipation or growth. The derivations account for space as well as time dependence of the variables. It is found that certain particular solutions can be obtained to this system, whereas a full solution in space and time as an initial value problem is outside the scope of the present paper. The system has a nonlinear equilibrium solution for which the nonlinear coupling terms balance the terms of linear dissipation. The case of space and time evolution of a small perturbation of the nonlinear equlibrium state, given the initial one-dimensional spatial distribution of the perturbation, is also considered in some detail.

• 核融合科学研究所の論文

著者

• Wilhelmsson H.

  Institute Of Plasma Physics Nagoya University:jsps Visiting Professor To The Institute Of Plasma Phy

• Obayashi H.

  Institute of Plasma Physics, Nagoya University

• Totsuji H.

  Institute of Plasma Physics, Nagoya University

• Totsuji H.

  Institute Of Plasma Physics Nagoya University:department Of Physics University Of Tokyo:department O

• Obayashi H.

  Institute Of Plasma Physics Nagoya University

• Obayashi H.

  Institute Of Plasma Physics

関連論文

• Space and Time Evolution of Two Nonlinearly Coupled Variables : Special Solutions
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