On Nonlinear Generalizations of the KdV and BBM Equations from Long Range Water Wave Theory

Timothy A. Smith

doi:10.12988/ijma

On Nonlinear Generalizations of the KdV and BBM Equations from Long Range Water Wave Theory

Timothy A. Smith

Mathematics

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

Abstract

A generalization of the famous KdV and BBM equation are considered with a new nonlinear term. Sufficient conditions of solvability, existence and uniqueness are established.

Original language	American English
Journal	International Journal of Mathematical Analysis
Volume	3
DOIs	https://doi.org/10.12988/ijma
State	Published - Jan 1 2009

Keywords

KdV
BBM
evolution equations
partial
nonlinear

Disciplines

Applied Mathematics
Partial Differential Equations

Access to Document

10.12988/ijmaLicense: CC BY

On Nonlinear Generalizations of the KdV and BBM Equations from LoFinal published version, 217 KBLicense: CC BY

Cite this

@article{2e3f37a3ab364500a5a3713e5a74e02a,

title = "On Nonlinear Generalizations of the KdV and BBM Equations from Long Range Water Wave Theory",

abstract = " A generalization of the famous KdV and BBM equation are considered with a new nonlinear term. Sufficient conditions of solvability, existence and uniqueness are established.",

keywords = "KdV, BBM, evolution equations, partial, nonlinear",

author = "Smith, \{Timothy A.\}",

year = "2009",

month = jan,

day = "1",

doi = "10.12988/ijma",

language = "American English",

volume = "3",

journal = "International Journal of Mathematical Analysis",

issn = "1314-7579",

publisher = "Hikari Ltd.",

}

TY - JOUR

T1 - On Nonlinear Generalizations of the KdV and BBM Equations from Long Range Water Wave Theory

AU - Smith, Timothy A.

PY - 2009/1/1

Y1 - 2009/1/1

N2 - A generalization of the famous KdV and BBM equation are considered with a new nonlinear term. Sufficient conditions of solvability, existence and uniqueness are established.

AB - A generalization of the famous KdV and BBM equation are considered with a new nonlinear term. Sufficient conditions of solvability, existence and uniqueness are established.

KW - KdV

KW - BBM

KW - evolution equations

KW - partial

KW - nonlinear

UR - https://commons.erau.edu/publication/587

U2 - 10.12988/ijma

DO - 10.12988/ijma

M3 - Article

SN - 1314-7579

VL - 3

JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

ER -

On Nonlinear Generalizations of the KdV and BBM Equations from Long Range Water Wave Theory

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Cite this