Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent (Q839603)
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| English | Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent |
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Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent (English)
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2 September 2009
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The authors apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Korteweg-de Vries equation for decaying initial data in the soliton and similarity region. This paper can be viewed as an expository introduction to this method.
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Riemann--Hilbert prob
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em
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KdV equation
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solitons
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