Traveling Waves for the BBM Equation With Viscosity Term

Gregory S. Spradlin

Traveling Waves for the BBM Equation With Viscosity Term

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The Benjamin-Bona-Mahony equation is a popular alternative to the Korteweg-de Vries equation, for modeling unidirectional propagation of long waves in systems that manifest nonlinear and dispersive effects. In this paper, it is shown that when a viscosity term is added to the BBM equation, there exist bounded traveling wave solutions.

Original language	American English
Journal	Advances and Applications in Fluid Mechanics
Volume	5
State	Published - Jan 2009

Keywords

BBM equation
regularized long-wave equation
viscosity
traveling waves

Disciplines

Mathematics

Cite this

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title = "Traveling Waves for the BBM Equation With Viscosity Term",

abstract = " The Benjamin-Bona-Mahony equation is a popular alternative to the Korteweg-de Vries equation, for modeling unidirectional propagation of long waves in systems that manifest nonlinear and dispersive effects. In this paper, it is shown that when a viscosity term is added to the BBM equation, there exist bounded traveling wave solutions.",

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AB - The Benjamin-Bona-Mahony equation is a popular alternative to the Korteweg-de Vries equation, for modeling unidirectional propagation of long waves in systems that manifest nonlinear and dispersive effects. In this paper, it is shown that when a viscosity term is added to the BBM equation, there exist bounded traveling wave solutions.

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KW - regularized long-wave equation

KW - viscosity

KW - traveling waves

M3 - Article

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JO - Advances and Applications in Fluid Mechanics

JF - Advances and Applications in Fluid Mechanics

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