A KdV-Type Equation for Dispersive System of Shallow Water Waves with Higher Order Dissipation

Shahrdad G. Sajjadi; Tim A. Smith; Timothy Smith

A KdV-Type Equation for Dispersive System of Shallow Water Waves with Higher Order Dissipation

Shahrdad G. Sajjadi, Tim A. Smith, Timothy Smith

Embry-Riddle Aeronautical University

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

Abstract

The problem on classical solutions for the BBM equation is considered where an additional term is introduced which represents higher order dissipation. Sufficient conditions of solvability, existence and the like are established.

Original language	American English
Journal	Advances and Applications in Fluid Mechanics
Volume	9
State	Published - Apr 2011

Keywords

KdV equation
BBM equation
shallow water waves

Disciplines

Dynamic Systems
Partial Differential Equations

Cite this

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title = "A KdV-Type Equation for Dispersive System of Shallow Water Waves with Higher Order Dissipation",

abstract = " The problem on classical solutions for the BBM equation is considered where an additional term is introduced which represents higher order dissipation. Sufficient conditions of solvability, existence and the like are established.",

keywords = "KdV equation, BBM equation, shallow water waves",

author = "Sajjadi, {Shahrdad G.} and Smith, {Tim A.} and Timothy Smith",

year = "2011",

month = apr,

language = "American English",

volume = "9",

journal = "Advances and Applications in Fluid Mechanics",

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T1 - A KdV-Type Equation for Dispersive System of Shallow Water Waves with Higher Order Dissipation

AU - Sajjadi, Shahrdad G.

AU - Smith, Tim A.

AU - Smith, Timothy

PY - 2011/4

Y1 - 2011/4

N2 - The problem on classical solutions for the BBM equation is considered where an additional term is introduced which represents higher order dissipation. Sufficient conditions of solvability, existence and the like are established.

AB - The problem on classical solutions for the BBM equation is considered where an additional term is introduced which represents higher order dissipation. Sufficient conditions of solvability, existence and the like are established.

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KW - BBM equation

KW - shallow water waves

M3 - Article

VL - 9

JO - Advances and Applications in Fluid Mechanics

JF - Advances and Applications in Fluid Mechanics

ER -