Under investigation in this paper is the (2+ 1)-dimensional Caudrey-Dodd-Gibbon-Kotera-
Sawada-like (CDGKS-like) equation. Based on bilinear neural network method, the …

It is well known that most classical test functions to solve nonlinear partial differential
equations can be constructed via single hidden layer neural network model by using …

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 …

This paper extends a method, called bilinear neural network method (BNNM), to solve exact
solutions to nonlinear partial differential equation. New, test functions are constructed by …

As a kind of analytical exact solutions to the nonlinear evolution equations, the interaction
solutions are of great value in the study of the interacting mechanism in nonlinear science. In …

In the present paper, we focus on the bright-dark solitons and interaction behavior
associated with a dimensionally reduced p-gBKP equation. New test functions are …

Under investigation in this paper is the Ivancevic option pricing model. Based on trial
function method, rogue wave and dark wave solutions are constructed. By means of …

This article focuses on the (3+ 1)-dimensional Boiti–Leon–Manna–Pempinelli equation. By
using bilinear neural network method, the new test functions are constructed to find the …

The study of solitary wave solutions of nonlinear evolution equations (NLEEs) has always
been a hot topic in nonlinear science which has attracted many researchers in the field of …

Abstract The Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation has significant
applications in the accurate simulation of wave behavior in physical systems. In recent …