A more general form of lump solution, lumpoff, and instanton/rogue wave solutions of a reduced (3+1)-dimensional nonlinear evolution equation

doi:10.1088/1674-1056/27/12/120201

中国物理B ›› 2018, Vol. 27 ›› Issue (12): 120201-120201.doi: 10.1088/1674-1056/27/12/120201

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 下一篇

A more general form of lump solution, lumpoff, and instanton/rogue wave solutions of a reduced (3+1)-dimensional nonlinear evolution equation

Panfeng Zheng(郑攀峰), Man Jia(贾曼)

1 Physics Department, Ningbo University, Ningbo 315211, China;
2 Ningbo Collaborative Innovation Center of Nonlinear Hazard System of Ocean and Atmosphere, Ningbo University, Ningbo 315211, China

收稿日期:2018-08-16 修回日期:2018-10-19 出版日期:2018-12-05 发布日期:2018-12-05
通讯作者: Man Jia E-mail:jiaman@nbu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11675084 and 11435005), the Fund from the Educational Commission of Zhejiang Province, China (Grant No. Y201737177), Ningbo Natural Science Foundation (Grant No. 2015A610159), and the K C Wong Magna Fund in Ningbo University.

A more general form of lump solution, lumpoff, and instanton/rogue wave solutions of a reduced (3+1)-dimensional nonlinear evolution equation

Panfeng Zheng(郑攀峰)¹, Man Jia(贾曼)^1,2

1 Physics Department, Ningbo University, Ningbo 315211, China;
2 Ningbo Collaborative Innovation Center of Nonlinear Hazard System of Ocean and Atmosphere, Ningbo University, Ningbo 315211, China

Received:2018-08-16 Revised:2018-10-19 Online:2018-12-05 Published:2018-12-05
Contact: Man Jia E-mail:jiaman@nbu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11675084 and 11435005), the Fund from the Educational Commission of Zhejiang Province, China (Grant No. Y201737177), Ningbo Natural Science Foundation (Grant No. 2015A610159), and the K C Wong Magna Fund in Ningbo University.

摘要/Abstract

摘要：

In this manuscript, a reduced (3+1)-dimensional nonlinear evolution equation is studied. We first construct the bilinear formalism of the equation by using the binary Bell polynomials theory, then explore a lump solution to the special case for z=x. Furthermore, a more general form of lump solution of the equation is found which possesses seven arbitrary parameters and four constraint conditions. By cutting the lump by the induced soliton(s), lumpoff and instanton/rogue wave solutions are also constructed by the more general form of lump solution.

关键词: a reduced (3+1)-dimensional nonlinear evolution equation, more general form of lump solution, soliton induced by lump, lumpoff and instanton/rogue wave solutions

Abstract:

Key words: a reduced (3+1)-dimensional nonlinear evolution equation, more general form of lump solution, soliton induced by lump, lumpoff and instanton/rogue wave solutions

中图分类号: (Integrable systems)

02.30.Ik

02.30.Jr (Partial differential equations)

郑攀峰, 贾曼. A more general form of lump solution, lumpoff, and instanton/rogue wave solutions of a reduced (3+1)-dimensional nonlinear evolution equation[J]. 中国物理B, 2018, 27(12): 120201-120201.

Panfeng Zheng(郑攀峰), Man Jia(贾曼). A more general form of lump solution, lumpoff, and instanton/rogue wave solutions of a reduced (3+1)-dimensional nonlinear evolution equation[J]. Chin. Phys. B, 2018, 27(12): 120201-120201.

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A more general form of lump solution, lumpoff, and instanton/rogue wave solutions of a reduced (3+1)-dimensional nonlinear evolution equation

A more general form of lump solution, lumpoff, and instanton/rogue wave solutions of a reduced (3+1)-dimensional nonlinear evolution equation

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