Exact Stationary Solution Method for the Wadati-Konno-Ichikawa-Shimizu (WKIS) Equation
Abbreviated Journal Title
Prog. Theor. Phys.
LINEAR INHOMOGENEITIES; GENERALIZED HIROTA; Physics, Multidisciplinary
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.
Progress of Theoretical Physics
"Exact Stationary Solution Method for the Wadati-Konno-Ichikawa-Shimizu (WKIS) Equation" (2012). Faculty Bibliography 2010s. 3426.