Journal
INDIANA UNIVERSITY MATHEMATICS JOURNAL
Volume 63, Issue 4, Pages 939-967Publisher
INDIANA UNIV MATH JOURNAL
DOI: 10.1512/iumj.2014.63.5310
Keywords
Segregation; concentration; multi-bump solutions; phase separations; nonlinear Schrodinger equation
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Funding
- NSFC [11071092, 11125101]
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We consider the system linearly coupled by nonlinear Schrodinger equations in R-3: [GRAPHICS] where epsilon is an element of R is a coupling constant. This type of system arises in particular in models in nonlinear N-core fiber. We then examine how the linear coupling affects the solution structure. When N = 2, 3, for any prescribed integer l >= 2, we construct a nonradial vector solution of segregated type, with two components having exactly l positive bumps for epsilon > 0 sufficiently small. We also give an explicit description of the characteristic features of the vector solutions.
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