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 …

The study of waves emerged in magnetic field bears worth mentioning roles for describing
the nematic liquid crystal and the chiral soliton lattice. This exploration deals with the …

The coupled nonlinear Schrödinger equation in the (2+ 1)-dimensional inhomogeneous PT-
symmetric nonlinear coupler is studied. By employing Hirota bilinear method, the soliton …

In this research, we address the problem of solving (1+ 1)-dimensional fractional coupled
nonlinear Schrödinger equations (FCNLSE) with beta derivatives, which are essential for …

Abstract The (3+ 1)-dimensional hyperbolic nonlinear Schrödinger equation (HNLS) is used
as a model for different physical phenomena such as the propagation of electromagnetic …

This paper considers the fractional order dual-mode nonlinear Schrödinger equation
(FDMNLSE) with cubic law nonlinearity. The FDMNLSE interprets the concurrent …

This paper is performed to extract solitons and other solitary wave solutions of the
generalized third-order nonlinear Schrödinger model by implementing two compatible …

In this article, the three-dimensional conformal time derivative generalized q-deformed Sinh–
Gordon equation is discussed analytically and numerically using the (G′/G)-expansion …

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 …

In this paper, the exact explicit traveling wave solutions to the simplified modified Camassa–
Holm (SMCH) equation. The SMCH equation is a significant nonlinear evolution equation …