Abstract The Chen-Lee-Liu model has many applications in assorted fields, particularly in
the study of nonlinear dynamics, chaos theory, circuit design, signal processing, secure …

The extended generalized G′ G–expansion is well defined and an efficient technique,
which is used to obtain the exact traveling wave solutions to the governing nonlinear …

The paraxial nonlinear Schrödinger equation finds diverse applications in the fields of
nonlinear optics, optical communication systems, plasma physics, and mathematical …

In this study, the Biswas–Arshed equation (BAE) is handled with the beta time derivative.
This model compensates for the group velocity dispersion (GVD) by the dispersion of time …

The modified equal width equation describes the propagation of shallow water waves in
which nonlinear and dispersive effects are significant, including phenomena such as wave …

The theory of solitary waves or solitons is crucial in nonlinear models due to their ability to
propagate without distortion, making them essential in fields like physics, biology …

Nonlinear fractional-order differential equations have an important role in various branches
of applied science and fractional engineering. This research paper shows the practical …

In this paper, we investigate two different constant-coefficient nonlinear evolution equations,
namely the Schamel Burgers equation and the Schamel equation. These models also have …

The modified Benjamin-Bona-Mahony (mBBM) model is utilized in the optical illusion field to
describe the propagation of long waves in a nonlinear dispersive medium during a visual …

This study focuses on the Ablowitz–Kaup–Newell–Segur (AKNS) water waves equation.
Painleve test (P-test) will be implemented to check the integrability of AKNS equation and an …