Exponential decay rate of solutions toward traveling waves for the Cauchy problem of generalized Benjamin-Bona-Mahony-Burgers equations

DOI10.1016/J.NA.2010.04.078zbMath1196.35195OpenAlexW2091723264MaRDI QIDQ988820

Jiayi Hu, Hui Yin

Publication date: 19 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.04.078

zbMATH Keywords

traveling waveexponential decay ratespace-time weighted energy methodgeneralized Benjamin-Bona-Mahony-Burgers equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Theoretical approximation in context of PDEs (35A35) Traveling wave solutions (35C07)

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Cites Work

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• Solitary-wave interaction
• Decay of solution of generalized Benjamin—Bona—Mahony—Burgers equations in n-space dimensions
• Large-time asymptotic behaviour of a step for the Benjamin–Bona–Mahony–Burgers equation
• Model equations for long waves in nonlinear dispersive systems

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