Asymptotics as \(t\to\infty\) of the solutions of nonlinear equations with nonsmall initial perturbations

DOI10.1007/BF02307211zbMath0881.35016OpenAlexW2048613474MaRDI QIDQ1360821

Iliya A. Shishmarev, Pavel I. Naumkin

Publication date: 27 January 1998

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02307211

zbMATH Keywords

Cauchy problemBurgers equationpseudodifferential operatorKorteweg-de-Vries Eeuation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65)

Related Items (3)

Nonlinear nonlocal Whitham equation on a segment ⋮ Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type ⋮ On the Cauchy problem for nonlinear dissipative systems

Cites Work

• Unnamed Item
• Short-wave asymptotics for weak shock waves and solitons in mechanics
• Nonlinear Theory of Ion Acoustic Waves with Landau Damping

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