Multipulses of Nonlinearly Coupled Schrödinger Equations

Multipulses of Nonlinearly-coupled Schrr Odinger Equations

The capacity of coupled nonlinear Schrr odinger equations to support multipulse solutions (multibump solitary-waves) is investigated. A detailed analysis is undertaken for a system of quadratically coupled equations that describe the phenomena of second harmonic generation and parametric wave interaction in non-centrosymmetric optical materials. Utilising the framework of homoclinic bifurcation...

Stability Analysis of Multipulses in Nonlinearly-coupled Schrr Odinger Equations

In this article, the stability of multipulses exhibited by a conservative system of coupled nonlinear Schrr odinger equations is analysed. These multibump solitary-waves are steady-state solutions generated from a homoclinic bifurcation arising near a semi-simple eigenvalue scenario. The study of their stability with respect to the full system of partial diierential equations involves spectral ...

Bifurcation diagrams of coupled Schrödinger equations

Radially symmetric solutions of many important systems of partial differential equations can be reduced to systems of special ordinary differential equations. A numerical solver for initial value problems for such systems is developed based on Matlab, and numerical bifurcation diagrams are obtained according to the behavior of the solutions. Various bifurcation diagrams of coupled Schrödinger e...

Existence of infinitely many solutions for coupled system of Schrödinger-Maxwell's equations

Soliton dynamics in linearly coupled discrete nonlinear Schrödinger equations

We study soliton dynamics in a system of two linearly coupled discrete nonlinear Schrödinger equations, which describe the dynamics of a two-component Bose gas, coupled by an electromagnetic field, and confined in a strong optical lattice. When the nonlinear coupling strengths are equal, we use a unitary transformation to remove the linear coupling terms, and show that the existing soliton solu...