Abstract:
The Riemann–Hilbert approach is applied to the mixed Chen–Lee–Liu equation. The corresponding Jost solutions are found, the analytic, asymptotic and symmetric properties of Jost solutions are studied, and a modified Riemann–Hilbert problem is constructed that satisfies the normalization condition. The formulas for multiple solitons related to the simple poles of the Riemann–Hilbert problem are given in determinant form. According to the Cauchy–Binet formula, the formulas for multiple solitons are given explicitly. Based on these explicit formulas, the first- and second-order solitons are obtained, and the multiple-soliton collisions are verified to be elastic.
Fundamental Research Projects of Science and Technology Innovation and Development Plan in Yantai City
2023YT06000660
This work is supported by the National Natural Science
Foundation of China (grant Nos. 12171433 and 12075208) and
Fundamental Research Projects of Science& Technology Innovation and
Development Plan in Yantai City (grant No. 2023YT06000660).