Title

Orbital Stability for Stationary Solutions of the Wadati-Konno-Ichikawa-Shimizu Equation

Authors

Authors

R. A. Van Gorder

Comments

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Abbreviated Journal Title

J. Phys. Soc. Jpn.

Keywords

Wadati-Konno-Ichikawa-Shimizu (WKIS) equation; stationary solution; orbital stability; LINEAR INHOMOGENEITIES; GENERALIZED HIROTA; VORTEX FILAMENT; SOLITONS; MOTION; Physics, Multidisciplinary

Abstract

We determine the orbital stability properties of the space-periodic stationary solutions to the Wadati-KonnoIchikawa- Shimizu (WKIS) equation previously obtained in R. A. Van Gorder: Prog. Theor. Phys. 128 (2012) 993. The stability result is completely analytic, whereas most results for similar equations are numerical. The method is concise and can be applied to a number of other derivative nonlinear Schrodinger (NLS) type equations admitting spaceperiodic stationary solutions.

Journal Title

Journal of the Physical Society of Japan

Volume

82

Issue/Number

6

Publication Date

1-1-2013

Document Type

Article

DOI Link

http://dx.doi.org/10.7566/jpsj.82.064005

Language

English

First Page

3

WOS Identifier

WOS:000319809400022

ISSN

0031-9015

Recommended Citation

"Orbital Stability for Stationary Solutions of the Wadati-Konno-Ichikawa-Shimizu Equation" (2013). Faculty Bibliography 2010s. 4795.
https://stars.library.ucf.edu/facultybib2010/4795