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Advances in Mathematical Physics
Volume 2016, Article ID 3702738, 7 pages
http://dx.doi.org/10.1155/2016/3702738
Research Article

Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields

1Department of Mathematics, Graduate School of Science, Osaka University, Osaka, Toyonaka 560-0043, Japan
2Department of Mathematics, College of Science, Yanbian University, No. 977 Gongyuan Road, Yanji, Jilin 133002, China
3Centro de Ciencias Matemáticas, UNAM Campus Morelia, AP 61-3 (Xangari), 58089 Morelia, MICH, Mexico

Received 11 December 2015; Accepted 18 January 2016

Academic Editor: Yao-Zhong Zhang

Copyright © 2016 Nakao Hayashi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [4 citations]

The following is the list of published articles that have cited the current article.

  • Nakao Hayashi, Chunhua Li, and Pavel I. Naumkin, “Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations,” Communications on Pure and Applied Analysis, vol. 16, no. 6, pp. 2089–2104, 2017. View at Publisher · View at Google Scholar
  • Gaku Hoshino, “Scattering for solutions of a dissipative nonlinear Schrödinger equation,” Journal of Differential Equations, 2018. View at Publisher · View at Google Scholar
  • Gaku Hoshino, “Global Well-Posedness and Analytic Smoothing Effect for the Dissipative Nonlinear Schrödinger Equations,” Journal of Dynamics and Differential Equations, 2018. View at Publisher · View at Google Scholar
  • Xintong Yuan, and Chunhua Li, “The Effect of Gain and Strong Dissipative Structures on Nonlinear Schrödinger Equations in Optical Fiber,” Advances in Mathematical Physics, vol. 2019, pp. 1–8, 2019. View at Publisher · View at Google Scholar