Standing lattice solitons in the discrete NLS equation with saturation

Approximation of Solitons in the Discrete NLS Equation

We study four different approximations for finding the profile of discrete solitons in the one-dimensional Discrete Nonlinear Schrödinger (DNLS) Equation. Three of them are discrete approximations (namely, a variational approach, an approximation to homoclinic orbits and a Green-function approach), and the other one is a quasi-continuum approximation. All the results are compared with numerical...

the study of bright and surface discrete cavity solitons dynamics in saturable nonlinear media

امروزه سالیتون ها بعنوان امواج جایگزیده ای که تحت شرایط خاص بدون تغییر شکل در محیط منتشر می-شوند، زمینه مطالعات گسترده ای در حوزه اپتیک غیرخطی هستند. در این راستا توجه به پدیده پراش گسسته، که بعنوان عامل پهن شدگی باریکه نوری در آرایه ای از موجبرهای جفت شده، ظاهر می گردد، ضروری است، زیرا سالیتون های گسسته از خنثی شدن پراش گسسته در این سیستم ها بوسیله عوامل غیرخطی بوجود می آیند. گسستگی سیستم عامل...

Lattice solitons on a standing carrier wave

We consider a nonlinear lattice of the Klein—Gordon type analysing envelope solitons created on a standing carrier wave. In particular, we show that nonlinear wavesofsuch a kind are described by a system of two coupled nonlinear Schrodinger equations and we find a new class of its solutions which describe bound states of two dark-profile solitons. As particular cases, this solution includes non...

Discrete flat-band solitons in the kagome lattice

Multistable Solitons in the Cubic-Quintic Discrete Nonlinear Schrödinger Equation

We analyze the existence and stability of localized solutions in the one-dimensional discrete nonlinear Schrödinger (DNLS) equation with a combination of competing self-focusing cubic and defocusing quintic onsite nonlinearities. We produce a stability diagram for different families of soliton solutions, that suggests the (co)existence of infinitely many branches of stable localized solutions. ...