We show theoretically that a photonic topological insulator can support edge solitons that
are strongly self-localized and propagate unidirectionally along the lattice edge. The …

At the end of the past century, a completely new sort of soliton was discovered: embedded
solitons. They were discovered in optical systems first, and then in liquid crystal theory …

The objective of this paper is to locate the embedded solitons with χ (2) and χ (3) nonlinear
susceptibilities in presence of multiplicative noise. Itô Calculus was implemented to carry out …

The main purpose of this paper is to study the dynamics and embedded solitons of
stochastic quadratic and cubic nonlinear susceptibilities in the Itô sense, which can further …

Using the method of asymptotics beyond all orders, we evaluate the amplitude of radiation
from a moving small-amplitude soliton in the discrete nonlinear Schrödinger equation. When …

This paper studies the soliton solutions for Embedded soliton (ES) generating model with χ 2
nonlinear susceptibility. The bright, rational, Jacobi elliptic, periodic, dark, Weierstrass …

A hierarchical Korteweg–de Vries-type evolution equation is applied for modelling wave
propagation in dilatant granular materials. The model equation is integrated numerically …

It is well known that a moving intrinsic localized mode (ILM) in a nonlinear physical lattice
looses energy because of the resonance between it and the underlying small amplitude …

We study a model of Josephson layered structure which is characterized by two
peculiarities:(i) superconducting layers are thin;(ii) the current–phase relation is non …

In this article we examine different ways of introducing nonlocal effects in the complex
modified Korteweg-de Vries (cmKdV) equation. Four possible nonlocal generalizations of …