This study employs the new extended direct algebraic method and improved sardar sub-
equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which …

This work investigates the complex Ginzburg-Landau equation (CGLE) with Kerr law in
nonlinear optics, which represents soliton propagation in the presence of a detuning factor …

This paper employs a novel $\varphi^{6} $-model expansion approach to get dark, bright,
periodic, dark-bright, and singular soliton solutions to the complex Ginzburg-Landau …

This work investigates the complex Ginzburg-Landau equation (CGLE) with parat) olic law in
nonlinear optics, this form of nonlinearity may also be seen in fiber optics, It is referred to as …

The optical soliton is a hot topic in studying. In the current research, we utilize the modified
extended direct algebraic method to derive optical soliton solutions for the non-linear Kairat …

This study investigates the Kairat-II equation, describing optical pulse behavior in optical
fibers and plasma. To uncover new solitary wave profiles, the study employs an extended …

Abstract The Complex Ginzburg-Landau equation (CGLE) has been suggested and
investigated as a model for turbulent dynamics in nonlinear partial differential equations, It is …

In this paper, we use the φ 6-model expansion method to construct the traveling wave
solutions for the reaction-diffusion equation. The method of φ 6-model expansion enables …

This research focused on studying the flows of a null Cartan curve specified by the velocity
and acceleration fields. We have proven that the tangential and normal velocities are …

This article uses the calculus method and three-dimensional analysis system to photograph
and analyse the action techniques of China's famous basketball players' shooting training …