In this work, we investigate diverse analytical solutions and modulation instability of the
nonlinear Schrödinger equation with an anti-cubic nonlinear term. We use the traveling …

This paper studies various forms of analytical solutions for mixed derivative nonlinear
Schrödinger equation (MD-NLSE) which is used extensively in optical fiber. Our aim is to …

Evolution of resonant three-wave interaction is governed by quadratic nonlinearities. While
propagating localized modes and inverse scattering mechanisms have been studied …

In this article, we investigate the dynamical interaction behavior of a short pulse equation in
optical fibers with fast-varying packets. We systematically unearth the interaction dynamics …

The Hirota equation is an extension of the nonlinear Schrödinger equation by incorporating
third-order dispersion. Doubly periodic solutions for the Hirota equation are established in …

Abstract The Fermi–Pasta–Ulam–Tsingou recurrence phenomenon for the Ablowitz–Ladik
equation is studied analytically and computationally. Wave profiles periodic in the discrete …

Optical fiber communication plays an important role in the modern communication. Under
investigation is a high-order nonlinear Schrödinger equation with the additional high-order …

The unstable nonlinear Schrödinger equations (UNLSEs) are universal equations of the
class of nonlinear integrable systems, which reveal the temporal changing of disruption in …

We study the exact chirped solutions of the perturbed Chen-Lee-Liu equation with a
refractive index. Exact chirped solutions and their corresponding chirps are obtained using …

Abstract The (3+ 1)-dimensional Kadomtsev-Petviashvili-Bogoyavlensky-Konopelchenko
equation is used to simulate the evolution of shallow water waves with weakly nonlinear …