Over a decade ago, an analogy was drawn between the generation of large ocean waves
and the propagation of light fields in optical fibres. This analogy drove numerous …

Optical rogue waves are rare, extreme fluctuations in the value of an optical field. The
term'optical rogue wave'was first used in the context of an analogy between pulse …

The Peregrine soliton is a localized nonlinear structure predicted to exist over 25 years ago,
but not so far experimentally observed in any physical system. It is of fundamental …

In the present paper, we focus on the bright-dark solitons and interaction behavior
associated with a dimensionally reduced p-gBKP equation. New test functions are …

Abstract We consider a (2+ 1 2+ 1)-dimensional nonautonomous-coupled nonlinear
Schrödinger equation, which includes the partially nonlocal nonlinearity under linear and …

This review is dedicated to recent progress in the active field of rogue waves, with an
emphasis on the analytical prediction of versatile rogue wave structures in scalar, vector …

The nonlinear Schrödinger equation (NLSE) is a central model of nonlinear science,
applying to hydrodynamics, plasma physics, molecular biology and optics. The NLSE admits …

Modulation instability is a fundamental process of nonlinear science, leading to the unstable
breakup of a constant amplitude solution of a physical system. There has been particular …

In this article, we study the double chain deoxyribonucleic acid (DNA) system, the work will
be carried out via appropriate transformations. Distinct types of soliton solutions, namely …

The Hirota equation is a modified nonlinear Schrödinger equation (NLSE) that takes into
account higher-order dispersion and time-delay corrections to the cubic nonlinearity. In …