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DOI: 10.4236/ojapps.2020.103008    42 Downloads   98 Views
Author(s)
Youzhi Tu

Affiliation(s)

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

ABSTRACT

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.

KEYWORDS

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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