Modified scattering states for subcritical derivative nonlinear schrödinger equations: Modified scattering states

Nakao Hayashi, Pavel I. Naumkin, Yasuko Yamazaki

Research output: Contribution to journalArticlepeer-review

Abstract

We consider thre derivative nonlinear Schrödinger equations (Formula presented.) where the coefficient a(t) satisfies the condition (Formula presented.) is a sufficiently small constant and (Formula presented.) (Formula presented.) We suppose that the initial data satisfy the exponential decay conditions. Then in the case (Formula presented.) we show that the usual scattering states exist, and in the other case we construct the modified scattering states.

Original languageEnglish
Pages (from-to)141-159
Number of pages19
JournalInternational Journal of Phytoremediation
Volume80
Issue number1-2
DOIs
Publication statusPublished - 2001 Dec
Externally publishedYes

Keywords

  • 35A05
  • 35Q35
  • 76B40
  • Asymptotic expansions
  • Modified scattering states
  • Nonlinear Schrödinger equations
  • Subcritical nonlinearities

ASJC Scopus subject areas

  • Environmental Chemistry
  • Pollution
  • Plant Science

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