Rational solutions and interaction solutions for (2 + 1)-dimensional nonlocal Schrödinger equation

doi:10.1088/1674-1056/abc165

中国物理B ›› 2020, Vol. 29 ›› Issue (12): 120201-.doi: 10.1088/1674-1056/abc165

• GENERAL • 下一篇

收稿日期:2020-08-29 修回日期:2020-09-18 接受日期:2020-10-15 出版日期:2020-12-01 发布日期:2020-11-26

Rational solutions and interaction solutions for (2 + 1)-dimensional nonlocal Schrödinger equation

Mi Chen(陈觅) and Zhen Wang(王振)†

School of Mathematical Science, Dalian University of Technology, Dalian 116024, China

Received:2020-08-29 Revised:2020-09-18 Accepted:2020-10-15 Online:2020-12-01 Published:2020-11-26
Contact: ^†Corresponding author. E-mail: wangzhen@dult.edu.cn
Supported by:
Project supported by LiaoNing Revitalization Talents Program, China (Grant No. XLYC1907014) and Dalian Hi-level Talents Innovation Plan (Grant No. 2017RQ101).

摘要/Abstract

Abstract: A chain of novel higher order rational solutions with some parameters and interaction solutions of a (2+1)-dimensional reverse space-time nonlocal Schrödinger (NLS) equation was derived by a generalized Darboux transformation (DT) which is derived by Taylor expansion and determinants. We obtained a series of higher-order rational solutions by one spectral parameter and we could get the periodic wave solution and three kinds of interaction solutions, singular breather and periodic wave interaction solution, singular breather and traveling wave interaction solution, bimodal breather and periodic wave interaction solution by two spectral parameters. We found a general formula for these solutions in the form of determinants. We also analyzed the complex wave structures of the dynamic behaviors and the effects of special parameters and presented exact solutions for the (2+1)-dimensional reverse space-time nonlocal NLS equation.

Key words: Darboux transformation, nonlocal Schrödinger equation, rational solutions, interaction solutions

中图分类号: (Integrable systems)

02.30.Ik

05.45.Yv (Solitons) 02.30.Jr (Partial differential equations)

. [J]. 中国物理B, 2020, 29(12): 120201-.

Mi Chen(陈觅) and Zhen Wang(王振). Rational solutions and interaction solutions for (2 + 1)-dimensional nonlocal Schrödinger equation[J]. Chin. Phys. B, 2020, 29(12): 120201-.

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Rational solutions and interaction solutions for (2 + 1)-dimensional nonlocal Schrödinger equation

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