The trajectory of fractional calculus has undergone several periods of intensive
development, both in pure and applied sciences. During the last few decades fractional …

The higher-order nonlinear Schrödinger equation (NLSE) with fourth-order dispersion, cubic-
quintic terms, self-steepening and nonlinear dispersive terms describes the propagation of …

In this paper, new exact solitary wave, soliton and elliptic function solutions are constructed
in various forms of three dimensional nonlinear partial differential equations (PDEs) in …

Abstract The Biswas-Arshed (BA) model is an essential wave propagation model in
nonlinear optics and optical fibers. In this manuscript, the enhanced G′/G-expansion …

In this research article, we investigated the universal model of integrable system of modify
unstable nonlinear Schrödinger equation. The mUNLSE described the disturbance of time …

The resonant nonlinear Schrödinger equation (NLSE) having quadratic-cubic nonlinearity
for describing pulse phenomena and studied in nonlinear optics. In this work, we achieved …

The generalised nonlinear Schrödinger equation (NLSE) of third order is investigated, which
accepts one-hump embedded solitons in a single-parameter family. In this paper, we …

We analytically study the nonlinear partial differential equations by the generalized G′/G-
expansion method. Explicit solutions are derived, which include solitons, singular solutions …

In optical fibers, the higher order non-linear Schrödinger equation (NLSE) with the
coefficients of group velocity dispersion, second-order spatiotemporal dispersion and cubic …

This paper aims to conduct an analytical study into some nonlinear models of
pseudoparabolic type, including the Oskolkov, Oskolkov–Benjamin–Bona–Mahony …