On the asymptotic behavior of solutions of generalized Korteweg-de Vries equations

DOI10.1016/0022-247X(89)90104-2zbMath0686.35018MaRDI QIDQ1262453

Mohammad A. Rammaha

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

generalized Korteweg-de Vries equationAiry equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (4)

On the asymptotic behavior of nonlinear Schrödinger equations with magnetic effect ⋮ Scattering of small solutions to generalized benjamin-bona-mahony equation in several space dimensions ⋮ Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg-de Vries equation ⋮ Large time asymptotics of solutions to the generalized Korteweg-de Vries equation

Cites Work

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• Nonlinear scattering theory at low energy
• Nonlinear scattering theory at low energy: Sequel
• Long-time behavior of solutions to nonlinear evolution equations
• Dispersion of low-energy waves for two conservative equations
• Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
• The initial-value problem for the Korteweg-de Vries equation
• Decay and scattering of solutions of a nonlinear relativistic wave equation
• On the Asymptotic Behavior of Nonlinear Wave Equations

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