Title

Exact Stationary Solution Method For The Wadati-Konno-Ichikawa-Shimizu (Wkis) Equation

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. Copyright © Progress of Theoretical Physics 2012.

Publication Date

11-1-2012

Publication Title

Progress of Theoretical Physics

Volume

128

Issue

5

Number of Pages

993-999

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1143/PTP.128.993

Socpus ID

84870334701 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84870334701

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