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

Joint Authors

Li, Chunhua
Yuan, Xintong

Source

Advances in Mathematical Physics

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-03-03

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Physics

Abstract EN

We consider the initial value problem for the nonlinear Schrödinger equation satisfying the strong dissipative condition Iλ<0 and 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 λvp-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.

American Psychological Association (APA)

Yuan, Xintong& Li, Chunhua. 2019. The Effect of Gain and Strong Dissipative Structures on Nonlinear Schrödinger Equations in Optical Fiber. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1119010

Modern Language Association (MLA)

Yuan, Xintong& Li, Chunhua. The Effect of Gain and Strong Dissipative Structures on Nonlinear Schrödinger Equations in Optical Fiber. Advances in Mathematical Physics No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1119010

American Medical Association (AMA)

Yuan, Xintong& Li, Chunhua. The Effect of Gain and Strong Dissipative Structures on Nonlinear Schrödinger Equations in Optical Fiber. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1119010

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1119010