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May 28, 2013NonlinearityOpen Access

Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data

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Abstract

We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Korteweg–de Vries equation with step-like initial data.

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A 2013 study studied this question.

synapsesocial.com/papers/6aaa2263663efc0f708451d5 https://doi.org/10.1088/0951-7715/26/7/1839

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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Asymptotic Solutions of the Korteweg‐deVries EquationOriginal Research · 1977 · 220 citations
2Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theoryOriginal Research · 1999 · 777 citations
3A Steepest Descent Method for Oscillatory Riemann--Hilbert Problems. Asymptotics for the MKdV EquationOriginal Research · 1993 · 1,447 citations
4Theta functions and non-linear equationsOriginal Research · 1981 · 669 citations
5A numerical and theoretical study of certain nonlinear wave phenomenaOriginal Research · 1978 · 755 citations

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