This paper studies the new Kudryashov approach for deriving optical solutions for a time-
fractional nonlinear Schrödinger equation. The equation incorporates Kudryashov's arbitrary …

The main goal of the present study is to conduct a deeper investigation into a generalized
Schrödinger equation describing the propagation of optical pulses in media. To this end, the …

This research focuses on bifurcation analysis and new waveforms for the first fractional 3D
Wazwaz–Benjamin–Bona–Mahony (WBBM) structure, which arises in shallow water waves …

This paper studies the integrable Kuralay equation which is a kind of integrable spin system
in (1+ 1) dimensions. Several new exact solutions of different kinds such as optical solitons …

This study presents novel waveforms and bifurcation analysis for the fractional Klein–Fock–
Gordon (KFG) structure, which is widely used in particle and condensed matter physics. To …

This study critically examines the nonlinear Lonngren wave model, a mathematical
representation used to describe waves in shallow water environments such as beaches …

The present article formally studies the propagation of optical pulses in a nonlinear medium
governed by the nonlinear Kodama equation. For this purpose, the Lie symmetries group is …

In this manuscript, a new form of the generalized q-deformed Sinh-Gordon equation is
investigated which could model physical systems with broken symmetries and to incorporate …

The objective of this manuscript is to examine the non-linear characteristics of the modified
equal width-Burgers equation, known as the generalized Kadomtsive–Petviashvili equation …

Nonlinear partial differential equations serve as key components for the mathematical
representation of engineering phenomena across several domains within the known …