Normal form approach to near-linear dynamics of modified KdV equation (Q2633719)
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| English | Normal form approach to near-linear dynamics of modified KdV equation |
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Normal form approach to near-linear dynamics of modified KdV equation (English)
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10 May 2019
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Reduction to a normal form is applied for space periodic modified Korteweg-de Vries equation. This permits the authors to decompose the equation into the resonant and the nonresonant part. As a consequence, the long time asymptotic behavior of solutions for high frequency initial data is determined.
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modified Korteweg-de Vries equation
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space periodic solution
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normal form
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comparison with linear asymptotics
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