The Effect of Gain and Strong Dissipative Structures on Nonlinear Schrödinger Equations in Optical Fiber

Xintong Yuan and Chunhua Li

Advances in Mathematical Physics, 2019, vol. 2019, issue 1

Abstract: We consider the initial value problem for the nonlinear Schrödinger equation satisfying the strong dissipative condition Iλ p-1/2pRλ in one space dimension. Our purpose in this paper is to study how the gain coefficient μ(t) and strong dissipative nonlinearity λ|v|p−1v affect solutions to the nonlinear Schrödinger equation for large initial data. We prove global existence of solutions and present some time decay estimates of solutions for large initial data.

Date: 2019
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https://doi.org/10.1155/2019/7297090

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:7297090

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