Purpose: This manuscript addresses to investigate the optical soliton solution of the
Manakov model which governs soliton transmission technology by utilizing the auxiliary …

Purpose: The aim of this manuscript is to present the novel (2+ 1) and (3+ 1) forms of the
Biswas–Milovic equation, which was introduced to the literature during 2010. The Biswas …

Understanding the phenomenon of rogue wave formation, often called extreme waves, in
diverse branches of nonlinear science has become one of the most attractive domains …

It is shown how to compute the instability rates for the double-periodic solutions to the cubic
NLS (nonlinear Schrödinger) equation by using the Lax linear equations. The wave function …

The concept of soliton gas was introduced in 1971 by Zakharov as an infinite collection of
weakly interacting solitons in the framework of Korteweg–de Vries (KdV) equation. In this …

Fractional nonlinear evolution equations are mathematical representations used to explain a
wide range of complex phenomena occurring in nature. By incorporating fractional order …

Recently, substantial progress has been made in the understanding of microresonators
frequency combs based on dissipative Kerr solitons (DKSs). However, most of the studies …

It has been shown analytically that Peregrine solitons emerge locally from a universal
mechanism in the so-called semiclassical limit of the one-dimensional focusing nonlinear …

The study of optical soliton solutions plays a vital role in nonlinear optics. The foremost area
of optical solitons research encompasses around optical fiber, telecommunication, meta …

We report an experimental study on the modulation instability process and associated rogue
breathers for the case of stationary periodic background waves, namely dnoidal and cnoidal …