Orbital stability of a two parameter family of solitary waves for a fourth order nonlinear Schrödinger type equation

Jun ichi Segata

doi:10.1063/1.4811522

Orbital stability of a two parameter family of solitary waves for a fourth order nonlinear Schrödinger type equation

Jun ichi Segata

SCI - Mathematics

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

2 Citations (Scopus)

Abstract

This paper is concerned with the orbital stability of a two parameter family of solitary waves for the fourth order nonlinear Schrödinger type equation (4NLS). By using variational approach, we prove that those solitary waves are orbitally stable under the time evolution by 4NLS.

Original language	English
Article number	061503
Journal	Journal of Mathematical Physics
Volume	54
Issue number	6
DOIs	https://doi.org/10.1063/1.4811522
Publication status	Published - 2013 Jun 3

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.4811522

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title = "Orbital stability of a two parameter family of solitary waves for a fourth order nonlinear Schr{\"o}dinger type equation",

abstract = "This paper is concerned with the orbital stability of a two parameter family of solitary waves for the fourth order nonlinear Schr{\"o}dinger type equation (4NLS). By using variational approach, we prove that those solitary waves are orbitally stable under the time evolution by 4NLS.",

author = "Segata, {Jun ichi}",

note = "Funding Information: J.S. is partially supported by MEXT, Grant-in-Aid for Young Scientists (B) 21740122.",

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AU - Segata, Jun ichi

N1 - Funding Information: J.S. is partially supported by MEXT, Grant-in-Aid for Young Scientists (B) 21740122.

PY - 2013/6/3

Y1 - 2013/6/3

N2 - This paper is concerned with the orbital stability of a two parameter family of solitary waves for the fourth order nonlinear Schrödinger type equation (4NLS). By using variational approach, we prove that those solitary waves are orbitally stable under the time evolution by 4NLS.

AB - This paper is concerned with the orbital stability of a two parameter family of solitary waves for the fourth order nonlinear Schrödinger type equation (4NLS). By using variational approach, we prove that those solitary waves are orbitally stable under the time evolution by 4NLS.

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Orbital stability of a two parameter family of solitary waves for a fourth order nonlinear Schrödinger type equation

Abstract

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