Multi-Cuspon Solutions of the Wadati-Konno-Ichikawa Equation by Riemann-Hilbert Problem Method

• 作者: Youzhi Tu
• 来源期刊: 应用科学(英文)
• 学科: 数学
• 关键词: WKI EQUATION INITIAL VALUE PROBLEM Cuspon Solution RIEMANN-HILBERT PROBLEM
• 年，卷（期）: 2020,（3）
• 页码范围: 100-109
• 页数: 10页
• 分类号: O17

摘要

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.