NON-SYNCHRONIZED SOLUTIONS TO NONLINEAR ELLIPTIC SCHRODINGER SYSTEMS ON A CLOSED RIEMANNIAN MANIFOLD

被引：0

作者：

Mazumdar, Saikat ^{[1
]}

Vetois, Jerome ^{[2
]}

机构：

[1] Indian Inst Technol Bombay Powai, Dept Math, Mumbai 400076, Maharashtra, India

[2] McGill Univ Sherbrooke St West, Dept Math & Stat, Montreal, PQ H3A 0B9, Canada

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2022年 / 42卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Nonlinear elliptic Schrodinger systems; Bifurcation results; nonsynchronized solutions; synchronized solutions; branches of solutions; non-existence results; PARTIALLY COHERENT SOLITONS; BOUND-STATES; R-N; EQUATIONS; COMPONENTS; THEOREMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On a smooth, closed Riemannian manifold, we study the question of proportionality of components, also called synchronization, of vector-valued solutions to nonlinear elliptic Schrodinger systems with constant coefficients. In particular, we obtain bifurcation results showing the existence of branches of non-synchronized solutions emanating from the constant solutions.

引用

页码：5273 / 5287

页数：15

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