Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation

DOI10.1016/S0167-2789(01)00180-4zbMath0982.35018WikidataQ127884058 ScholiaQ127884058MaRDI QIDQ5940219

Jerry L. Bona, Laihan Luo

Publication date: 29 July 2001

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

generalized Korteweg-de Vries-Burgers equationgeneralized regularized long wave-Burgers equation

Mathematics Subject Classification ID

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

Related Items (7)

Asymptotics in the critical case for Whitham type equations ⋮ Unnamed Item ⋮ The local strong and weak solutions for a generalized pseudoparabolic equation ⋮ Global behavior for Whitham type equations on a finite interval ⋮ Global existence of solution of Cauchy problem for nonlinear pseudo-parabolic equation ⋮ Asymptotic behavior of solutions to a boundary value problem for a nonlinear equation with a fractional derivative ⋮ Distributed Feedback Control of the Benjamin-Bona-Mahony-Burgers Equation by a Reduced-Order Model

Cites Work

• Unnamed Item
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• Unnamed Item
• Decay of solutions of some nonlinear wave equations
• Decay of solutions to nonlinear, dispersive wave equations
• On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations
• Decay estimates for the solutions of some nonlinear evolution equations
• More results on the decay of solutions to nonlinear, dispersive wave equations
• The effect of dissipation on solutions of the generalized Korteweg-de Vries equation
• An evaluation of a model equation for water waves
• The dissipation of nonlinear dispersive waves: the case of asymptotically weak nonlinearity
• Self-similar large time behavior of solutions to Korteweg–de Vries–Burgers equation
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation
• Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations
• Decay of solution of generalized Benjamin—Bona—Mahony—Burgers equations in n-space dimensions
• A non-linear equation incorporating damping and dispersion
• Model equations for long waves in nonlinear dispersive systems
• Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation

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