Abstract The (2+ 1)-dimensional nonlinear wave equation is proposed by exchanging the x,
y-spaces (x↔ y) in the (2+ 1)-dimensional Hirota bilinear equation. A singularity structure …

The current paper conducts comprehensive research on a 3D generalized Korteweg-de
Vries (3D-gKdV) equation describing long-wave behavior in shallow water. First, the Bell …

The purpose of this study is to construct different optical soliton solutions to the Chen–Lee–
Liu equation of monomode fibers by executing the extended sinh-Gordon equation …

In the present paper, extensive research is conducted on a 2D generalized Kadomtsev–
Petviashvili (2D-gKP) equation which models water waves with long wavelengths. The study …

Studying the dynamics of solitons in nonlinear evolution equations (NLEEs) has gained
considerable interest in the last decades. Accordingly, the search for soliton solutions of …

The purpose of this paper is to focus on improving the unified F-expansion method and
investigating the evolution phenomenon of solitary waves on periodic wave background …

The soliton molecules, as bound states of solitons, have attracted considerable attention in
several areas. In this paper, the (2+ 1)‐dimensional higher‐order Boussinesq equation is …

The current research employs a novel class of invariant solutions to Painlevé integrable
coupled Burgers equations. Many mathematical physics domains such as fluid dynamics …

Studying the dynamics of solitons in nonlinear evolution equations (NLEEs) has gained
considerable interest in the last decades. Accordingly, the search for soliton solutions of …