Parametric Dissipative Nonlinear Schrodinger Equation

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概要

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• Nonlinear Schr6dinger equation with complex-conjugate-type (parametric) forcingand linear damping is studied both analytically and numerically. Bifurcations of stationary and time-dependent solutions are investigated. A periodic motion arising viaa Hopf bifurcation of the cnoidal solution explains well the soliton-oscillationphenomena of water wave in a vertically forced long container discovered by Wu etal. The analogy is pointed out in an explicit way between the mode competition of sur-face waves in a container and the soliton-oscillation. The existence of spatiotemporalchaotic states is illustrated by numerical simulations.

• 社団法人日本物理学会の論文
• 1991-01-15

著者

• Umeki Makoto

  University Of Tokyo

関連論文

• Parametric Dissipative Nonlinear Schrodinger Equation

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