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

doi:10.1088/1674-1056/ac132f

中国物理B ›› 2021, Vol. 30 ›› Issue (10): 100509-100509.doi: 10.1088/1674-1056/ac132f

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

Xiao-Min Wang(王晓敏)^1,2,† and Peng-Fei Li(李鹏飞)^1,2

1 Department of Physics, Taiyuan Normal University, Jinzhong 030619, China;
2 Institute of Computational and Applied Physics, Taiyuan Normal University, Jinzhong 030619, China

收稿日期:2021-02-15 修回日期:2021-06-27 接受日期:2021-07-12 出版日期:2021-09-17 发布日期:2021-10-09
通讯作者: Xiao-Min Wang E-mail:wangxiaomin086@163.com
基金资助:
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).

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

Xiao-Min Wang(王晓敏)^1,2,† and Peng-Fei Li(李鹏飞)^1,2

1 Department of Physics, Taiyuan Normal University, Jinzhong 030619, China;
2 Institute of Computational and Applied Physics, Taiyuan Normal University, Jinzhong 030619, China

Received:2021-02-15 Revised:2021-06-27 Accepted:2021-07-12 Online:2021-09-17 Published:2021-10-09
Contact: Xiao-Min Wang E-mail:wangxiaomin086@163.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: breather, soliton, nonlinear Schrödinger system, α-helical protein

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.

Key words: breather, soliton, nonlinear Schrödinger system, α-helical protein

中图分类号: (Solitons)

05.45.Yv

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

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[J]. 中国物理B, 2021, 30(10): 100509-100509.

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[J]. Chin. Phys. B, 2021, 30(10): 100509-100509.

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

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

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