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Rapidly oscillating solutions of a generalized Korteweg–de Vries equation

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For a generalized Korteweg–de Vries equation, the existence of families of rapidly oscillating periodic solutions is proved and their asymptotic representation is found. The asymptotics of tori of different dimensions… Click to show full abstract

For a generalized Korteweg–de Vries equation, the existence of families of rapidly oscillating periodic solutions is proved and their asymptotic representation is found. The asymptotics of tori of different dimensions are examined. Formulas for solutions depending on all parameters of the problem are derived.

Keywords: generalized korteweg; solutions generalized; rapidly oscillating; korteweg vries; vries equation; oscillating solutions

Journal Title: Computational Mathematics and Mathematical Physics
Year Published: 2017

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