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Why Newton's method is hard for travelling waves: small denominators, KAM theory, Arnold's linear Fourier problem, non-uniqueness, constraints and erratic failure - MaRDI portal

Why Newton's method is hard for travelling waves: small denominators, KAM theory, Arnold's linear Fourier problem, non-uniqueness, constraints and erratic failure (Q871062)

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scientific article; zbMATH DE number 5134249
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English
Why Newton's method is hard for travelling waves: small denominators, KAM theory, Arnold's linear Fourier problem, non-uniqueness, constraints and erratic failure
scientific article; zbMATH DE number 5134249

    Statements

    Why Newton's method is hard for travelling waves: small denominators, KAM theory, Arnold's linear Fourier problem, non-uniqueness, constraints and erratic failure (English)
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    15 March 2007
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    nonlinear equations
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    bifurcation
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    small denominators
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    fifth-order Korteweg-de Vries equation
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    KAM theory
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    numerical examples
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    nonlinear travelling waves
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    Kolmogorov-Arnold-Moser theory
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    algorithms
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