Well-posedness and asymptotic behavior of a generalized higher order nonlinear Schrödinger equation with localized dissipation
Computers & Mathematics with Applications, ISSN: 0898-1221, Vol: 96, Page: 188-208
2021
- 5Citations
- 2Captures
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Article Description
In this work, we study at the L2 – level global well-posedness as well as long-time stability of an initial-boundary value problem, posed on a bounded interval, for a generalized higher order nonlinear Schrödinger equation, modeling the propagation of pulses in optical fiber, with a localized damping term. In addition, we implement a precise and efficient code to study the energy decay of the higher order nonlinear Schrödinger equation and we prove its convergence and exponential stability of the discrete energy.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0898122121001747; http://dx.doi.org/10.1016/j.camwa.2021.05.001; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85107073460&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0898122121001747; https://dx.doi.org/10.1016/j.camwa.2021.05.001
Elsevier BV
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