On small amplitude solutions to the generalized boussinesq equations

Yonggeun Cho, Tohru Ozawa

Research output: Contribution to journalArticle

39 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)691-711
Number of pages21
JournalDiscrete and Continuous Dynamical Systems
Volume17
Issue number4
Publication statusPublished - 2007 Apr
Externally publishedYes

Fingerprint

Boussinesq Equations
Modified Equations
Generalized Equation
Scattering
Term

Keywords

  • Generalized Bq and imBq equations
  • Global existence
  • Scattering
  • Small amplitude solution

ASJC Scopus subject areas

  • Mathematics(all)
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Analysis

Cite this

On small amplitude solutions to the generalized boussinesq equations. / Cho, Yonggeun; Ozawa, Tohru.

In: Discrete and Continuous Dynamical Systems, Vol. 17, No. 4, 04.2007, p. 691-711.

Research output: Contribution to journalArticle

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