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Volume 30, Issue 4
Standing Waves of the Coupled Nonlinear Schrödinger Equations

L. L. Yang & G. M. Wei

Anal. Theory Appl., 30 (2014), pp. 345-353.

Published online: 2014-11

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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].

  • AMS Subject Headings

35B40, 35B45, 35Q55

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-30-345, author = {L. L. Yang and G. M. Wei}, title = {Standing Waves of the Coupled Nonlinear Schrödinger Equations}, journal = {Analysis in Theory and Applications}, year = {2014}, volume = {30}, number = {4}, pages = {345--353}, 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].

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2014.v30.n4.1}, url = {http://global-sci.org/intro/article_detail/ata/4498.html} }
TY - JOUR T1 - Standing Waves of the Coupled Nonlinear Schrödinger Equations AU - L. L. Yang & G. M. Wei 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].

L. L. Yang and G. M. Wei. (2014). Standing Waves of the Coupled Nonlinear Schrödinger Equations. Analysis in Theory and Applications. 30 (4). 345-353. doi:10.4208/ata.2014.v30.n4.1
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