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- Title
The Riemann–Hilbert approach for the Chen–Lee–Liu equation and collisions of multiple solitons.
- Authors
Zhang, Yongshuai; Lin, Bingwen
- Abstract
We consider the Riemann–Hilbert method for the Chen–Lee–Liu equation with a vanishing boundary condition. By analyzing the asymptotic, analytic, and symmetric properties of the Jost solutions, we display the expression of scattering coefficients, theta condition, and the residue conditions. A revised Riemann–Hilbert problem (RHP) is constructed from the Jost solutions, which satisfies the normalization condition. By assuming that the RHP has simple poles, we solve the RHP and display the raw formulae for N-th order solitons of the CLL equation. By applying the Cauchy–Binent formula, we present the explicit formulae for N-th order solitons and consider the exciting collisions of the multiple solitons.
- Subjects
RIEMANN-Hilbert problems; EQUATIONS; SOLITONS; CHRONIC lymphocytic leukemia
- Publication
Nonlinear Dynamics, 2024, Vol 112, Issue 5, p3737
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-09196-x