Fractional order models involving nonlinearity are remarkable for having substantial
application in real-world. The present determination is due to obtain applicable wave …

In this article, the nonlinear fractional Kudryashov's equation and the space–time fractional
nonlinear Tzitzeica–Dodd–Bullough (TDB) equation are solved using the new auxiliary …

Abstract The Kundu-Mukherjee-Naskar equation holds significant relevance as a nonlinear
model for investigating intricate wave phenomena in fluid and optical systems. This study …

The nonlinear Schrödinger equation (NLSE) is a fundamental and significant physical model
that plays a crucial role in demonstrating the dynamics of optical solitons in the theory optical …

The concern of this study is to investigate the optical solitons pluses. The (2+ 1)-dimensional
Kundu–Mukherjee–Naskar (KMN) mathematical model in birefringent fibers is taken under …

Abstract This paper studies the (1+ 1)-dimensional Kuramoto–Sivashinsky equation (1D-
KSE) also known as canonical evolution equation within the context of flame front …

Abstract The simplified modified Camassa-Holm (SMCH) equation is an important nonlinear
model equation for identifying various wave phenomena in ocean engineering and science …

This paper employs a generalized transformation to investigate Kudryashov's equation with
four nonlinear terms in order to construct traveling wave solutions and optical solitons. The …

In this study, we have considered the (2+ 1)-dimensional paraxial nonlinear Schrödinger
(NLS) equation in Kerr media and used the (w/g)-expansion method. The g′ and (g′/g 2) …

This work devotes to explore abundant optical and other soliton solutions to fiber Bragg
gratings with dispersive reflectivity having Kerr law of nonlinear refractive index. Bragg …