Title
Exact Stationary Solution Method for the Wadati-Konno-Ichikawa-Shimizu (WKIS) Equation
Abbreviated Journal Title
Prog. Theor. Phys.
Keywords
LINEAR INHOMOGENEITIES; GENERALIZED HIROTA; Physics, Multidisciplinary
Abstract
We consider a method of obtaining exact implicit relations governing stationary solutions to the Wadati-Konno-Ichikawa-Shimizu (WKIS) equation. After a suitable transform, we put the WKIS equation into the form of a nonlinear ordinary differential equation. This equation has exact first and second integrals of motion. From this second integral, the exact equation governing the stationary solution to the WKIS equation is obtained. This relation may easily be inverted and plotted, to give the exact solution profiles. Furthermore, an exact formula for the period of oscillation in terms of the model parameters is obtained.
Journal Title
Progress of Theoretical Physics
Volume
128
Issue/Number
5
Publication Date
1-1-2012
Document Type
Article
Language
English
First Page
993
Last Page
999
WOS Identifier
ISSN
0033-068X
Recommended Citation
"Exact Stationary Solution Method for the Wadati-Konno-Ichikawa-Shimizu (WKIS) Equation" (2012). Faculty Bibliography 2010s. 3426.
https://stars.library.ucf.edu/facultybib2010/3426
Comments
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