Interference wave is an important research target in the field of navigation, electromagnetic
and earth science. In this work, the nonlinear property of neural network is used to study the …

This article investigates a nonlinear fifth-order partial differential equation (PDE) in two-
mode waves. The equation generalizes two-mode Sawada-Kotera (tmSK), two-mode Lax …

Dark solitons are widely applied in optical fiber communication system due to the
characteristics of strong anti-interference and slow attenuation. The coupled nonlinear …

We improve the physical information neural network by adding multiple parallel subnets to
predict seven types of soliton dynamics, such as one soliton, two solitons and soliton …

In this study, a diverse range of optical soliton solutions for the high-order nonlinear
Schrödinger equation (NLSE) are discovered using the Sardar sub-equation (SSE) …

In this work, a multivariate bilinear neural network method is proposed to seek more exact
analytical solutions of nonlinear partial differential equations. As an example, the (2+ 1) …

In this paper, we use the Jacobi elliptic function expansion approach to investigate the
Hirota-Maccari system which describes the dynamical behaviors of the femto-second soliton …

This paper studies on an evolution model by means of bilinear neural network method,
which is a high dimensional model. Firstly, we give the structure framework and the pattern …

Active researches on the water waves have been done, and water waves are essentially
complex waves controlled by gravity field and surface tension. Using the Hirota bilinear …

Vector similar structures for solutions with similar expressions of nonlinear models are paid
attention in the previous literature. However, the demand of different localized structures of …