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DOI: 10.4236/ojapps.2020.103008    42 Downloads   98 Views
Youzhi Tu


College of Sciences, University of Shanghai for Science and Technology, Shanghai, China.


In this paper, we consider the initial value problem for a complete integrable equation introduced by Wadati-Konno-Ichikawa (WKI). The solution  is reconstructed in terms of the solution of a  matrix Riemann-Hilbert problem via the asymptotic behavior of the spectral variable at one non-singularity point, i.e., . Then, the one-cuspon solution, two-cuspon solutions and three-cuspon solution are discussed in detail. Further, the numerical simulations are given to show the dynamic behaviors of these soliton solutions.


WKI Equation, Initial Value Problem, Cuspon Solution, Riemann-Hilbert Problem

Cite this paper

Tu, Y. (2020) Multi-Cuspon Solutions of the Wadati-Konno-Ichikawa Equation by Riemann-Hilbert Problem Method. Open Journal of Applied Sciences, 10, 100-109. doi: 10.4236/ojapps.2020.103008.
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