In the fiber communication domain, people are facing the challenges due to the rapidly
growing requirement on the capacity from new functions and services. Multi-hump solitons …

An integrable three-component coupled nonlinear Schrödinger (NLS) equation is
considered in this work. We present the scattering and inverse scattering problems of the …

In this paper, we systematically investigate the nonlocal Hirota equation with nonzero
boundary conditions via Riemann–Hilbert method and multi-layer physics-informed neural …

In this work, we systematically investigate the general‐component nonlinear Schrödinger
equations by using the Riemann–Hilbert method. Starting from the Lax pair associated with …

A generalized Sasa–Satsuma equation on the line is studied via the Riemann–Hilbert
approach. Firstly we derive a Lax pair associated with a 3× 3 matrix spectral problem for the …

In this paper, the multi-component generalized Gerdjikov–Ivanov integrable hierarchy is
obtained by means of the corresponding spectral problem and the zero curvature equation …

In this paper we propose a nonlocal Fokas–Lenells (FL) equation which can be derived from
the Kaup–Newell (KN) linear scattering problem. By constructing the Darboux transformation …

In this paper, we firstly establish the multi-Hamiltonian structure and infinitely many
conservation laws for the vector Kaup–Newell hierarchy of the positive and negative orders …

Abstract We consider the Riemann—Hilbert method for initial problem of the vector
Gerdjikov—Ivanov equation, and obtain the formula for its N-soliton solution, which is …

In this paper, we use the Riemann–Hilbert (RH) approach to examine the integrable three-
coupled Lakshmanan–Porsezian–Daniel (LPD) model, which describes the dynamics of …