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The origin and saturation of modulational instabilities - MaRDI portal

The origin and saturation of modulational instabilities (Q1078424)

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scientific article; zbMATH DE number 3960134
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The origin and saturation of modulational instabilities
scientific article; zbMATH DE number 3960134

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    The origin and saturation of modulational instabilities (English)
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    1986
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    The paper under review is an extended abstract of a work of the authors. It is known that the periodic sine-Gordon differential equation is a complicated infinite dimensional Hamiltonian system. However, frequently its asymptotic states, and those of nearby equations, are dominated by only a few degrees of freedom. The aim of the present report is to give an explanation of the origin of this low dimensionality and to describe a method for determining the dominant degrees of freedom.
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    periodic sine-Gordon differential equation
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    dominant degrees of freedom
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