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Asymptotic solutions to a singular perturbed Korteweg-de Vries equation with variable coefficients (general case) - MaRDI portal

Asymptotic solutions to a singular perturbed Korteweg-de Vries equation with variable coefficients (general case) (Q2850476)

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scientific article; zbMATH DE number 6212610
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Asymptotic solutions to a singular perturbed Korteweg-de Vries equation with variable coefficients (general case)
scientific article; zbMATH DE number 6212610

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    26 September 2013
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    Korteweg-de Vries equation
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    singular perturbation
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    soliton-type solution
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    Asymptotic solutions to a singular perturbed Korteweg-de Vries equation with variable coefficients (general case) (English)
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    The author deals with the problem of constructing asymptotic soliton-type solutions to a singular perturbed Korteweg-de Vries equation with variable coefficients depending on both independent variables. She presents a technique for constructing asymptotic one-phase soliton-type solutions to the equation. A statement on the accuracy of the obtained asymptotic solutions is given.
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