It is known that the Manakov equation which describes wave propagation in two mode
optical fibers, photorefractive materials, etc., can admit solitons which allow energy …

We investigate the formation of optical extreme waves in a resonant two-level medium that
entails the self-induced transparency (SIT) effect, within the framework of the sine-Gordon …

We construct certain higher order smooth positon and breather positon solutions of an
extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity. We utilize …

We construct several new integrable systems corresponding to nonlocal versions of the
Hirota equation, which is a particular example of higher order nonlinear Schrödinger …

We construct the optical smooth positon solutions for the generalized variable coefficient
nonlinear Schrödinger equation with longitudinally varying dispersion, nonlinearity, linear …

I will provide a pedagogical introduction to non-Hermitian quantum systems that are PT-
symmetric, that is they are left invariant under a simultaneous parity transformation (P) and …

In this paper, we report a more general class of nondegenerate soliton solutions, associated
with two distinct wave numbers in different modes, for a certain class of physically important …

The present work deals with the investigation of the time‐fractional Klein–Gordon (K‐G)
model, which has great importance in theoretical physics with applications in various fields …

With the digitalization of mechatronic systems in the conditions of a shortage of available
bandwidth of digital communication channels, the problem of ensuring the transfer of …

We propose time-dependent Darboux (supersymmetric) transformations that provide a
scheme for the calculation of explicitly time-dependent solvable non-Hermitian partner …