Long-Time Asymptotics for the Korteweg-de Vries Equation via Nonlinear Steepest Descent
classification
🌊 nlin.SI
math-phmath.APmath.MP
keywords
asymptoticsdescentequationkorteweg-delong-timemethodnonlinearsteepest
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We 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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