Large-time asymptotic behaviour of a step for the Benjamin–Bona–Mahony–Burgers equation

DOI10.1017/S0308210500030572zbMath0848.35116OpenAlexW2317138220MaRDI QIDQ4879044

Pavel I. Naumkin

Publication date: 30 June 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500030572

zbMATH Keywords

standing wavetime-decay ratesecond term of the large-time asymptotic expansionsolution of the initial-boundary-value problem

Mathematics Subject Classification ID

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

Related Items (10)

Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin–Bona–Mahony–Burgers equation with dissipative term ⋮ Enhanced group classification of Benjamin-Bona-Mahony-Burgers equations ⋮ Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type ⋮ Convergence to diffusion waves of the solutions for benjamin-bona-mahony-burgers equations ⋮ Blow-up of solutions of nonlinear Sobolev type equations with cubic sources ⋮ Convergence rates of solutions toward boundary layer solutions for generalized Benjamin-Bona-Mahony-Burgers equations in the half-space ⋮ The asymptotic behavior of solutions of an initial boundary value problem for the generalized Benjamin-Bona-Mahony equation ⋮ Exponential decay rate of solutions toward traveling waves for the Cauchy problem of generalized Benjamin-Bona-Mahony-Burgers equations ⋮ On the ``destruction of solutions of nonlinear wave equations of Sobolev type with cubic sources ⋮ \(L_q\)-decay rates of solutions for Benjamin-Bona-Mahony-Burgers equations

Cites Work

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• Decay of solutions of some nonlinear wave equations
• On the decay of step for the Korteweg-de Vries-Burgers equation
• The step-decay problem for the Korteweg-de Vries-Burgers equation
• Travelling-wave solutions to the Korteweg-de Vries-Burgers equation
• The initial-value problem for the Korteweg-de Vries equation
• Approximate equations for long water waves
• Model equations for long waves in nonlinear dispersive systems

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