Asymptotics of the solution of the Cauchy problem for the evolutionary Airy equation at large times

DOI10.1134/S0016266319030080zbMath1432.35026OpenAlexW2981126432MaRDI QIDQ2291265

S. V. Zakharov

Publication date: 30 January 2020

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266319030080

zbMATH Keywords

convolution integralAiry functionlinearized KdV equationself-similar variablePoincaré and Erdélyi asymptoticsauxiliary parameter methodthird-order evolutionary equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25)

Cites Work

• Linear dispersive equations of Airy type
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