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تسجيل مستخدم جديدRarefaction Waves of the Korteweg-de Vries Equation via Nonlinear Steepest Descent
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We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Korteweg-de Vries equation with steplike initial data leading to a rarefaction wave. In addition to the leading asymptotic we also compute the next term in the asymptotic expansion of the rarefaction wave, which was not known before.
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