In this paper, general higher-order freak wave solutions of the nonlocal nonlinear
Schrödinger equation (NLSE) with parity-time symmetric can be calculated theoretically via …

In this paper, the partially party‐time () symmetric nonlocal Davey–Stewartson (DS)
equations with respect to x is called x‐nonlocal DS equations, while a fully symmetric …

We investigate the x-nonlocal Davey–Stewartson II equation based on Kadomtsev–
Petviashvili hierarchy reduction method, and then report dark solitons and (semi-) rational …

In this paper, we introduce a type of tensor neural network. For the first time, we propose its
numerical integration scheme and prove the computational complexity to be the polynomial …

We theoretically calculate general higher-order soliton solutions of the space-shifted parity–
time-symmetric nonlocal multicomponent nonlinear Schrödinger equation via a Darboux …

Recently, an integrable system of coupled (2+ 1)-dimensional nonlinear Schrödinger (NLS)
equations was introduced by Fokas (Eq.(18) in Nonlinearity 29, 319324 (2016)). Following …

In this work, we study the dynamics of rogue waves in the partially PT-symmetric nonlocal
Davey–Stewartson (DS) systems. Using the Darboux transformation method, general rogue …

In this paper, we propose a type of tensor-neural-network-based machine learning method
to compute multi-eigenpairs of high dimensional eigenvalue problems without Monte-Carlo …

In this work, we study the non-Hermitian Swanson Hamiltonian, particularly the non-parity-
time symmetry phase. We use the formalism of Gel'fand triplet to construct the generalized …

This paper demonstrates that the parity‐time (PT PT)‐symmetric non‐Hermitian Hamiltonian
for a periodically driven system can be generated from a kernel Hamiltonian by a …