Segregated vector solutions for linearly coupled nonlinear Schrödinger systems
Journal
Indiana University Mathematics Journal
Journal Volume
63
Journal Issue
4
Pages
939-967
Date Issued
2014
Author(s)
Peng, S.
Abstract
We consider the following system linearly coupled by nonlinear Schr?dinger, where �` ? R is a coupling constant.This type of system arises in particular in models in nonlinear N -core fiber.We examine the effect of the linear coupling to the solution structure.When N = 2, 3, for any prescribed integer ? ? 2, we construct a non-radial vector solutions of segregated type, with two components having exactly ? positive bumps for �` > 0 sufficiently small.We also give an explicit description on the characteristic features of the vector solutions.
Type
journal article