On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice
Author(s) -
Meihua Huang,
Zhan Zhou
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/404369
Subject(s) - ground state , nehari manifold , lattice (music) , nonlinear system , mathematics , schrödinger's cat , manifold (fluid mechanics) , mathematical analysis , physics , mathematical physics , quantum mechanics , mechanical engineering , acoustics , engineering
We study the existence of ground state solutions of the periodic discrete coupled nonlinear Schrödinger lattice by using the Nehari manifold approach combined with periodic approximations. We show that both of the components of the ground state solutions are not zero
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