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Global solutions and self‐similar solutions for coupled nonlinear Schrödinger equations
Author(s) -
Ye Yaojun
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4329
Subject(s) - uniqueness , mathematics , nonlinear system , initial value problem , cauchy problem , cauchy distribution , mathematical analysis , physics , quantum mechanics
In this paper, we prove the existence and uniqueness for the global solutions of Cauchy problem for coupled nonlinear Schrödinger equations and obtain the continuous dependence result on the initial data and the stronger decay estimate of global solutions. In particular, we show the existence and uniqueness of self‐similar solutions. Also, we build some asymptotically self‐similar solutions. Copyright © 2017 John Wiley & Sons, Ltd.