Schrödinger-improved Boussinesq system in two space dimensions

Tohru Ozawa*, Kenta Tomioka

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We study the Cauchy problem for the Schrödinger-improved Boussinesq system in a two-dimensional domain. Under natural assumptions on the data without smallness, we prove the existence and uniqueness of global strong solutions. Moreover, we consider the vanishing “improvement” limit of global solutions as the coefficient of the linear term of the highest order in the equation of ion sound waves tends to zero. Under the same smallness assumption on the data as in the Zakharov case, solutions in the vanishing “improvement” limit are shown to satisfy the Zakharov system.

Original languageEnglish
Article number35
JournalJournal of Evolution Equations
Issue number2
Publication statusPublished - 2022 Jun


  • Global solutions
  • Schrödinger-improved Boussinesq system
  • Zakharov system

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


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