The fourth-order nonlinear Schrödinger limit for quantum Zakharov system

Yung Fu Fang, Chi Kun Lin, Jun Ichi Segata

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Abstract

This paper is concerned with the quantum Zakharov system. We prove that when the ionic speed of sound goes to infinity, the solution to the fourth-order Schrödinger part of the quantum Zakharov system converges to the solution to quantum modified nonlinear Schrödinger equation.

Original languageEnglish
Article number145
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume67
Issue number6
DOIs
Publication statusPublished - Dec 1 2016

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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