TY - JOUR T1 - Standing Waves of the Coupled Nonlinear Schrödinger Equations JO - Analysis in Theory and Applications VL - 4 SP - 345 EP - 353 PY - 2014 DA - 2014/11 SN - 30 DO - http://doi.org/10.4208/ata.2014.v30.n4.1 UR - https://global-sci.org/intro/article_detail/ata/4498.html KW - Coupled nonlinear Schrödinger equations, Lyapunov-Schmidt, contraction mapping principle. AB -

In this paper, we study the existence of standing waves of the coupled nonlinear Schrödinger equations. The proofs of which rely on the Lyapunov-Schmidt methods and contraction mapping principle are due to F. Weinstein in [1].