Breathers and solitons for the coupled nonlinear Schrödinger system in three-spine α-helical protein

doi:10.1088/1674-1056/ac132f

Abstract We mainly investigate the variable-coefficient 3-coupled nonlinear Schrödinger (NLS) system, which describes soliton dynamics in the three-spine α-helical protein with inhomogeneous effect. The variable-coefficient NLS equation is transformed into the constant coefficient NLS equation by similarity transformation firstly. The Hirota method is used to solve the constant coefficient NLS equation, and then we get the one- and two-breather solutions of the variable-coefficient NLS equation. The results show that, in the background of plane waves and periodic waves, the breather can be transformed into some forms of combined soliton solutions. The influence of different parameters on the soliton solution and the collision between two solitons are discussed by some graphs in detail. Our results are helpful to study the soliton dynamics in α-helical protein.

Keywords: breather soliton nonlinear Schrödinger system α-helical protein

Received: 15 February 2021
Revised: 27 June 2021
Accepted manuscript online: 12 July 2021

PACS:	05.45.Yv	(Solitons)
	02.70.Wz	(Symbolic computation (computer algebra))
	87.10.Ed	(Ordinary differential equations (ODE), partial differential equations (PDE), integrodifferential models)

Fund: Project supported by the Scientific and Technological Innovation Programs of Higher Education Institution in Shanxi, China (Grant Nos. 2020L0525 and 2019L0782), the National Natural Science Foundation of China (Grant Nos. 11805141 and 12075210), Applied Basic Research Program of Shanxi Province, China (Grant No. 201901D211424), “1331 Project” Key Innovative Research Team of Taiyuan Normal University (Grant No. I0190364), and Key Research and Development program of Shanxi Province, China (Grant No. 201903D421042).

Corresponding Authors: Xiao-Min Wang
E-mail: wangxiaomin086@163.com

Cite this article:

Xiao-Min Wang(王晓敏) and Peng-Fei Li(李鹏飞) Breathers and solitons for the coupled nonlinear Schrödinger system in three-spine α-helical protein 2021 Chin. Phys. B 30 100509

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Breathers and solitons for the coupled nonlinear Schrödinger system in three-spine α-helical protein

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