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Wave growth patterns in a nonlinear dispersive system with instability and dissipation (Q1365295)

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scientific article; zbMATH DE number 1054269
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English
Wave growth patterns in a nonlinear dispersive system with instability and dissipation
scientific article; zbMATH DE number 1054269

    Statements

    Wave growth patterns in a nonlinear dispersive system with instability and dissipation (English)
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    2 March 1998
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    Summary: A simple one-dimensional nonlinear equation, including effects of instability, dissipation, and dispersion, is examined numerically. Periodic solutions are presented for different values of constants for instability, dissipation, and dispersion. Finally the growth pattern for waves at different time intervals is discussed, and various equilibrium states are observed depending on initial conditions.
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    periodic solutions
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    one-dimensional nonlinear equation
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    equilibrium states
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    initial conditions
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