In this paper, we firstly extend the physics-informed neural networks (PINNs) to learn data-
driven stationary and non-stationary solitons of 1D and 2D saturable nonlinear Schrödinger …

We investigate the physics informed neural network method, a deep learning approach, to
approximate soliton solution of the nonlinear Schrödinger equation with parity time …

We construct two-dimensional soliton solutions for the inhomogeneous nonlinear
Schrödinger (NLS) equation with power-law nonlinearity in two different types of parity-time …

We consider nonlocal symmetries that all or all even (all odd) equations of the AKNS
hierarchy have. We construct examples of solutions simultaneously satisfying several …

We explore the existence of stable optical soliton in collisionally inhomogeneous cubic,
quintic and septimal nonlinear Schrödinger equation with the presence of a\(\mathcal …

We investigate the existence and stability properties of chirped gray and anti-dark solitary
waves within the framework of a coupled cubic nonlinear Helmholtz equation in the …

Nonlinear nonlocal models exist in many fields of physics. The most known of them are
models possessing PΤ-symmetries. Apart of PΤ-symmetric models, nonlocal models with …

We present one-, two-and three-soliton solutions of a parity-time (𝒫𝒯)-invariant nonlocal
nonlinear Schrödinger (NNLS) equation with distributed coefficients, namely dispersion …

In their recent works, Ablowitz and Musslimani proposed a new type of integrable nonlinear
equations–nonlocal analogues of the nonlinear Schrödinger equation, the modified …

Рассмотрены нелокальные симметрии, которыми обладают все или все четные (все
нечетные) уравнения из иерархии АКНС. Построены примеры решений …