On small amplitude solutions to the generalized boussinesq equations

Yonggeun Cho, Tohru Ozawa

Research output: Contribution to journalArticle

42 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

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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

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