Standing Waves of the Coupled Nonlinear Schrödinger Equations

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Abstract

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].

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Coupled nonlinear Schrödinger equations Lyapunov-Schmidt contraction mapping principle.
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DOI

10.4208/ata.2014.v30.n4.1

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Standing Waves of the Coupled Nonlinear Schrödinger Equations. (2014). Analysis in Theory and Applications, 30(4), 345-353. https://doi.org/10.4208/ata.2014.v30.n4.1