Nanomaterials with remarkable optical, mechanical, and electrical properties have shed
new light on various fields including optoelectronics, sensors, biomedicine, and ultrafast …

The mathematical basis of nonlinear optics is Maxwell's system of equations governing
propagation of electromagnetic waves in a material medium, combined with relations …

Since the 1960s, the Benjamin-Feir (or modulation) instability (MI) has been considered as
the self-modulation of the continuous “envelope waves” with respect to small periodic …

We show that the methodology based on the generalized inverse scattering transform (IST)
concept provides a systematic way to discover the novel exactly integrable nonlinear …

We report here a novel fiber-based test bed using tailored spectral shaping of an optical-
frequency comb to excite the formation of two Akhmediev breathers that collide during …

By means of analytical and numerical methods, we reveal the main features of
nonautonomous matter-wave solitons near the Feshbach resonance in a one-dimensional …

In this study, disparate analytical methodologies like the tan method, rational Exp-function
method, sech method, extended tan method, and sine–cosine method are implemented to …

We derive exact analytical expressions for the spatial Fourier spectrum of the fundamental
bright soliton solution for the 1+ 1-dimensional nonlinear Schrödinger equation. Similar to a …

This work investigates the perturbed nonlinear Schrödinger equation using the modified
(G′ G 2)-expansion method. The obtained results are generalized and classified into …

The generalized nonautonomous nonlinear Schrödinger equation is introduced in the
framework of the nonisospectral generalization of the Inverse Scattering Transform method …