The n-fold Darboux transformation T_ n T n of the focusing real modified Korteweg–de Vries
(mKdV) equation is expressed in terms of the determinant representation. Using this …

In this paper, we consider the real modified Korteweg-de Vries (mKdV) equation and
construct a special kind of breather solution, which can be obtained by taking the limit λ j→ λ …

We study the effects of spontaneous symmetry breaking (SSB) in solitons composed of a
dipolar Bose-Einstein condensate trapped in a dual-core system with dipole-dipole …

The spontaneous symmetry breaking (SSB) induced by a specific component of a linearly
coupled binary Bose–Einstein condensate was analyzed. The model is based on linearly …

Asymmetrical solitary waves are characterized in symmetrical, capacitively coupled
transmission lines, called coupled nonlinear transmission lines (NLTLs), which are …

The article provides a survey of (chiefly, theoretical) results obtained for self-trapped modes
(solitons) in various models of one-dimensional optical waveguides based on a pair of …

The bright, dark and kink soliton solutions of the coupled Zakharov-Kuznetsov (ZK) equation
are obtained by using the solitary wave ansatz method, variational approximation (VA) …

Leapfrogging solitary waves are characterized in two capacitively coupled transmission
lines that are periodically loaded with Schottky varactors, called coupled nonlinear …

In this work, we consider the electromechanical density pulse as a coupled solitary waves
represented by a longitudinal compression wave and an out-of-plane transversal wave (ie …