Long-time behavior of the solution of the Cauchy problem for the third-order Airy equation

DOI10.3233/ASY-191541zbMath1442.35405OpenAlexW2972039061MaRDI QIDQ5112890

S. V. Zakharov

Publication date: 9 June 2020

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-191541

zbMATH Keywords

convolutionCauchy problemself-similaritylong-time asymptoticsAiry functionlinearized KdV equationauxiliary parameter methodPoincaré and Erdélyi expansionsthird-order Airy equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Self-similar solutions to PDEs (35C06)

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