The loop rogue wave solutions for the Wadati-Konno-Ichikawa equation
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Published on: June 28, 2014
Yongshuai Zhang1, Deqin Qiu2, Dumitru Mihalache3
1School of Science, Zhejiang University of Science and Technology, Hangzhou, Zhejiang 310023, People's Republic of China.
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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