Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function

Joint Authors

Xue, Yakui
Song, Ni

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-02-17

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

The rogue waves of the nonlinear Schrödinger equation with time-dependent linear potential function are investigated by using the similarity transformation in this paper.

The first-order and second-order rogue waves solutions are obtained and the nonlinear dynamic behaviors of these solutions are discussed in detail.

In addition, the amplitudes of the rogue waves under the effect of the gravity field and external magnetic field changing with the time are analyzed by using numerical simulation.

The results can be used to study the matter rogue waves in the Bose-Einstein condensates and other fields of nonlinear science.

American Psychological Association (APA)

Song, Ni& Xue, Yakui. 2016. Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1103587

Modern Language Association (MLA)

Song, Ni& Xue, Yakui. Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1103587

American Medical Association (AMA)

Song, Ni& Xue, Yakui. Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1103587

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1103587