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

Abstract

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.

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

Received: 16 August 2018
Revised: 19 October 2018
Accepted manuscript online:

PACS:	02.30.Ik	(Integrable systems)
	02.30.Jr	(Partial differential equations)

Fund:

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.

Corresponding Authors: Man Jia
E-mail: jiaman@nbu.edu.cn

Cite this article:

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 2018 Chin. Phys. B 27 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

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