AI Article Synopsis
- The first-order rogue wave solution of the Wadati-Konno-Ichikawa equation is created using the Darboux transformation and inverse hodograph transformation.
- The study focuses on the analyticity of this rogue wave solution, emphasizing how the background wave's amplitude impacts its behavior.
- When singular, the rogue wave exhibits a loop-type profile, with detailed discussions on the characteristics of loop rogue waves.
Article Abstract
The first-order rogue wave solution with two arbitrary parameters of the Wadati-Konno-Ichikawa equation is generated based on the Darboux transformation and inverse hodograph transformation. The analyticity of first-order rogue wave solution is studied. A simple analysis shows that the parameter that denotes the amplitude of background wave plays an important role in controlling the analyticity of rogue wave solution. In particular, the rogue wave solution displays a loop-type profile when it is singular, and the general features of loop rogue waves are discussed in detail.
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| http://dx.doi.org/10.1063/1.5053612 | DOI Listing |
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