Existence of Standing Waves for Coupled Nonlinear Schrödinger Equations

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper we study the existence of standing waves for coupled nonlinear Schrödinger equations. The interaction between equations plays an important role in our study. When the interaction is strong, the least energy solution is a solution whose both components are positive. When the interaction is weak, the least energy solution is a semitrivial solution, namely a solution of a form (u1, 0) or (0, u2). Moreover, minimizing method on the Nehari type manifold with codimension 2 gives us a positive solution when the interaction is weak.

Original languageEnglish
Pages (from-to)89-116
Number of pages28
JournalTokyo Journal of Mathematics
Volume33
Issue number1
DOIs
Publication statusPublished - 2010 Jan 1
Externally publishedYes

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Standing Wave
Nonlinear Equations
Least Energy Solutions
Interaction
Codimension
Positive Solution

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Existence of Standing Waves for Coupled Nonlinear Schrödinger Equations. / Ikoma, Norihisa.

In: Tokyo Journal of Mathematics, Vol. 33, No. 1, 01.01.2010, p. 89-116.

Research output: Contribution to journalArticle

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