The core objective of this study is to explore the some novel stochastic solutions. For this
purpose, we consider the stochastic (2+ 1)-dimensional Chiral nonlinear Schrödinger …

In this current research, we investigate a new generalized two-dimensional nonlinear wave
equation of engineering physics using two versatile approaches. Nonlinear wave models …

Bilinearization of nonlinear partial differential equations (PDEs) is essential in the Hirota
method, which is a widely used and robust mathematical tool for finding soliton solutions of …

This paper investigates the evolution dynamics of closed-form solutions for a new integrable
nonlinear fifth-order equation with spatial and temporal dispersion which describes shallow …

This paper investigates the exact invariant solutions and the dynamics of soliton solutions to
the (2+ 1)-dimensional generalized Hirota–Satsuma–Ito (g-HSI) equations. By applying the …

In this research article, the perturbed nonlinear Schrödinger equation (P-NLSE) is examined
by utilizing two analytical methods, namely the extended modified auxiliary equation …

The physical principles of natural occurrences are frequently examined using nonlinear
evolution equations (NLEEs). Nonlinear equations are intensively investigated in …

The current exploration explains new traveling wave profiles by the Lie symmetry approach
Here, we derive the (3+ 1)-dimensional Zakharov–Kuznetsov burgers equation for the shock …

This study aims to identify soliton structures as an inherent fractional discrete nonlinear
electrical transmission lattice. Here, the analysis is founded on the idea that the electrical …

In this study, the strain wave equation in micro-structured solids which take an important
place in solid physics is presented for consideration. The generalized exponential rational …