Optical fiber communication has developed rapidly because of the needs of the information
age. Here, the variable coefficients fifth-order nonlinear Schrödinger equation (NLS), which …

This research aims to investigate a generalized fifth-order nonlinear partial differential
equation for the Sawada-Kotera (SK), Lax, and Caudrey-Dodd-Gibbon (CDG) equations to …

Some new exact solutions of the generalized (3+ 1)-dimensional Kadomtsev-Petviashvili
equation (KPE) are explored in this study. Firstly, the resonant multiple soltion solutions …

Nonlinear evolution equations (NLEEs) are extensively used to establish the elementary
propositions of natural circumstances. In this work, we study the Konopelchenko–Dubrovsky …

The main orientation of the current research is to look into the generalized (3+ 1)-
dimensional B-type Kadomtsev–Petviashvili equation (BKPE) for the water waves. By …

In this research, we focus on some novel exact solutions of the new (2+ 1)-dimensional
shallow water wave equation (SWWE). First, the soliton molecules on the (x, y)-,(x, t)-and (y …

The central purpose of this paper is extracting some novel and interesting soliton solutions
of the extended (3+ 1)-dimensional Jimbo-Miwa equation (JME) which acts as an extension …

This paper focuses on obtaining a large number of exact solutions to the highly nonlinear
(3+ 1)-dimensional Yu–Toda–Sassa–Fukuyama (YTSF) equation, which is important in fluid …

This paper investigates the exact invariant solutions and the dynamics of soliton solutions to
the (2+ 1)-dimensional generalized Hirota–Satsuma–Ito (g-HSI) equations. By applying the …

This research mainly concerned with some new solutions of the (3+ 1)‐dimensional
nonlinear evolution equation (NEE). First, we extract the resonant multiple soliton solutions …