Three-wave resonant interactions are commonly observed in the dispersive and weakly
nonlinear media in fluid mechanics, plasma physics, nonlinear optics, solid-state physics …

In this work, we utilize a new generalized derivative of conformable type to examine the
nonlinear evolution equations in a Wick-type stochastic environment. By a new auxiliary …

We present a detailed overview of the physics of two-color soliton molecules in nonlinear
waveguides, ie bound states of localized optical pulses which are held together due to an …

Dissipative Kerr cavity solitons (CSs) are persisting pulses of light that manifest themselves
in driven optical resonators and that have attracted significant attention over the last decade …

This work is devoted to providing new kinds of deterministic and stochastic solutions of one
of the famous nonlinear equations that depends on time, called the Schrödinger–Hirota …

This paper discusses the influence of newly differential conformable operators (DCOs) on
the behavior of the nonlinear evolutionary systems through their exact solutions. For this …

Nonlinear waveguides with two distinct domains of anomalous dispersion can support the
formation of molecule-like two-color pulse compounds. They consist of two tightly bound …

In this paper, the coupled nonlinear KdV (CNKdV) equations are solved in a stochastic
environment. Hermite transforms, generalized conformable derivative, and an algorithm that …

We present a Python toolkit for simulating the propagation dynamics of dissipative solitons in
a variant of the Lugiato–Lefever equation (LLE) including dispersion terms of third and fourth …

Chirp-rate-tunable microwave waveforms (CTMWs) with dynamically tunable parameters
are of basic interest to many practical applications. Recently, photonic generation of …