On small amplitude solutions to the generalized boussinesq equations

Yonggeun Cho; Tohru Ozawa

doi:10.3934/dcds.2007.17.691

On small amplitude solutions to the generalized boussinesq equations

Yonggeun Cho^*
, Tohru Ozawa

^*Corresponding author for this work

Department of Mathematics

Hokkaido University

Research output: Contribution to journal › Journal article › peer-review

63 Scopus citations

Abstract

We study the existence and scattering of global small amplitude solutions to generalized Boussinesq (Bq) and improved modified Boussinesq (imBq) equations with nonlinear term f(u) behaving as a power u^p as u → 0 in ℝ, n ≥1.

Original language	English
Pages (from-to)	691-711
Number of pages	21
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	17
Issue number	4
DOIs	https://doi.org/10.3934/dcds.2007.17.691
State	Published - 2007.04

Keywords

Generalized Bq and imBq equations
Global existence
Scattering
Small amplitude solution

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10.3934/dcds.2007.17.691

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title = "On small amplitude solutions to the generalized boussinesq equations",

abstract = "We study the existence and scattering of global small amplitude solutions to generalized Boussinesq (Bq) and improved modified Boussinesq (imBq) equations with nonlinear term f(u) behaving as a power up as u → 0 in ℝ, n ≥1.",

keywords = "Generalized Bq and imBq equations, Global existence, Scattering, Small amplitude solution",

author = "Yonggeun Cho and Tohru Ozawa",

year = "2007",

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T1 - On small amplitude solutions to the generalized boussinesq equations

AU - Cho, Yonggeun

AU - Ozawa, Tohru

PY - 2007/4

Y1 - 2007/4

N2 - We study the existence and scattering of global small amplitude solutions to generalized Boussinesq (Bq) and improved modified Boussinesq (imBq) equations with nonlinear term f(u) behaving as a power up as u → 0 in ℝ, n ≥1.

AB - We study the existence and scattering of global small amplitude solutions to generalized Boussinesq (Bq) and improved modified Boussinesq (imBq) equations with nonlinear term f(u) behaving as a power up as u → 0 in ℝ, n ≥1.

KW - Generalized Bq and imBq equations

KW - Global existence

KW - Scattering

KW - Small amplitude solution

UR - https://www.scopus.com/pages/publications/33847422077

U2 - 10.3934/dcds.2007.17.691

DO - 10.3934/dcds.2007.17.691

M3 - Journal article

AN - SCOPUS:33847422077

SN - 1078-0947

VL - 17

SP - 691

EP - 711

JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 4

ER -

On small amplitude solutions to the generalized boussinesq equations

Abstract

Keywords

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