In recent years, the derivation and solution of integrable nonlinear evolution equations
(NLEEs) in one, two, or more dimensions have been the apex in the field of applied …

A bstract Utilizing some conservation laws of (1+ 1)-dimensional integrable local evolution
systems, it is conjectured that higher dimensional integrable equations may be regularly …

It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the
baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant …

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 …

Period doubling is a universal bifurcation of central importance in all disciplines of nonlinear
science, which generally signals the existence of chaotic dynamics in the vicinity of the …

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 …

In this topical review paper we provide a survey of classical and more recent results on the
IST for one-dimensional scalar, vector and square matrix NLS systems on the line (-∞< …

Under investigation in this paper is the higher-order Chen–Lee–Liu (HOCLL) equation
which can describe optical pulses propagation in the medium involving high-order …

Rogue waves are ubiquitous in nature, appearing in a variety of physical systems ranging
from acoustics, microwave cavities, optical fibers, and resonators to plasmas, superfluids …

The forecasting of high-dimensional, spatiotemporal nonlinear systems has made
tremendous progress with the advent of model-free machine learning techniques. However …