The fourth-order nonlinear Schrödinger limit for quantum Zakharov system

Yung Fu Fang; Chi Kun Lin; Jun Ichi Segata

doi:10.1007/s00033-016-0740-1

The fourth-order nonlinear Schrödinger limit for quantum Zakharov system

Yung Fu Fang
, Chi Kun Lin
, Jun Ichi Segata^*

^*Corresponding author for this work

Department of Financial and Actuarial Mathematics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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 language	English
Article number	145
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	67
Issue number	6
DOIs	https://doi.org/10.1007/s00033-016-0740-1
Publication status	Published - 1 Dec 2016

Keywords

Convergence of solution
Quantum Zakharov system

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10.1007/s00033-016-0740-1

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title = "The fourth-order nonlinear Schr{\"o}dinger limit for quantum Zakharov system",

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 Schr{\"o}dinger part of the quantum Zakharov system converges to the solution to quantum modified nonlinear Schr{\"o}dinger equation.",

keywords = "Convergence of solution, Quantum Zakharov system",

author = "Fang, \{Yung Fu\} and Lin, \{Chi Kun\} and Segata, \{Jun Ichi\}",

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AU - Lin, Chi Kun

AU - Segata, Jun Ichi

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N2 - 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.

AB - 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.

KW - Convergence of solution

KW - Quantum Zakharov system

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DO - 10.1007/s00033-016-0740-1

M3 - Article

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The fourth-order nonlinear Schrödinger limit for quantum Zakharov system

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Keywords

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