Riemann-Hilbert approach and N-soliton solution for the Chen-Lee-Liu equation
Department of Mathematics, China University of Mining and Technology, 100083, Beijing, People’s Republic of China
Accepted: 31 July 2021
Published online: 10 August 2021
In this paper, we consider the Riemann-Hilbert method for the Chen-Lee-Liu equation and obtain a new formula of the explicit N-soliton solution (see equation (44) in Sect. 4), which is expressed by a ratio of two determinants. Meanwhile, we have provided a way to deal with an integral factor in the sectional analytic functions . Furthermore, by applying asymptotic analysis and using the property of the Cauchy determinant, the simple elastic interactions of N-soliton are concluded.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021