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Singularly Perturbed Vector and Scalar Nonlinear Schrödinger Equations with Persistent Homoclinic Orbits
Author(s) -
Li Yanguang Charles
Publication year - 2002
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.00002
Subject(s) - homoclinic orbit , scalar (mathematics) , citation , nonlinear system , mathematics , mathematical physics , algebra over a field , computer science , library science , pure mathematics , physics , quantum mechanics , geometry , bifurcation
Singularly perturbed vector nonlinear Schroedinger equations (PVNLS) areinvestigated. Emphasis is placed upon the relation with their restriction: Thesingularly perturbed scalar nonlinear Schroedinger equation (PNLS) studiedearlier by Li. It turns out that the persistent homoclinic orbit for the PNLSis the only one for the PVNLS, asymptotic to the same saddle.