Soliton excitations and interaction in alpha helical protein with interspine coupling in modified nonlinear Schrödinger equation

doi:10.1088/1674-1056/ab5188

中国物理B ›› 2019, Vol. 28 ›› Issue (12): 120502-120502.doi: 10.1088/1674-1056/ab5188

Soliton excitations and interaction in alpha helical protein with interspine coupling in modified nonlinear Schrödinger equation

Ming-Ming Li(李明明), Cheng-Lai Hu(胡成来), Jun Wu(吴俊), Xian-Jing Lai(来娴静), Yue-Yue Wang(王悦悦)

1 Zhejiang Provincial Key Laboratory of Chemical Utilization of Forestry Biomass, School of Sciences, Zhejiang A&F University, Hangzhou 311300, China;
2 School of Humanity and Law, Zhejiang A&F University, Hangzhou 311300, China;
3 College of Basic Science, Zhejiang Shuren University, Hangzhou 310015, China

收稿日期:2019-07-31 修回日期:2019-09-18 出版日期:2019-12-05 发布日期:2019-12-05
通讯作者: Yue-Yue Wang E-mail:yyshiyan@126.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11874324 and 11705164), the Natural Science Foundation of Zhejiang Province of China (Grant Nos. LY17A040011, LY17F050011, and LR20A050001), the Foundation of “New Century 151 Talent Engineering” of Zhejiang Province of China, and the Youth Talent Program of Zhejiang A & F University.

Soliton excitations and interaction in alpha helical protein with interspine coupling in modified nonlinear Schrödinger equation

Ming-Ming Li(李明明)¹, Cheng-Lai Hu(胡成来)¹, Jun Wu(吴俊)², Xian-Jing Lai(来娴静)³, Yue-Yue Wang(王悦悦)¹

1 Zhejiang Provincial Key Laboratory of Chemical Utilization of Forestry Biomass, School of Sciences, Zhejiang A&F University, Hangzhou 311300, China;
2 School of Humanity and Law, Zhejiang A&F University, Hangzhou 311300, China;
3 College of Basic Science, Zhejiang Shuren University, Hangzhou 310015, China

Received:2019-07-31 Revised:2019-09-18 Online:2019-12-05 Published:2019-12-05
Contact: Yue-Yue Wang E-mail:yyshiyan@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11874324 and 11705164), the Natural Science Foundation of Zhejiang Province of China (Grant Nos. LY17A040011, LY17F050011, and LR20A050001), the Foundation of “New Century 151 Talent Engineering” of Zhejiang Province of China, and the Youth Talent Program of Zhejiang A & F University.

摘要/Abstract

摘要： The three-coupling modified nonlinear Schrödinger (MNLS) equation with variable-coefficients is used to describe the dynamics of soliton in alpha helical protein. This MNLS equation with variable-coefficients is firstly transformed to the MNLS equation with constant-coefficients by similarity transformation. And then the one-soliton and two-soliton solutions of the variable-coefficient-MNLS equation are obtained by solving the constant-coefficient-MNLS equation with Hirota method. The effects of different parameter conditions on the soliton solutions are discussed in detail. The interaction between two solitons is also discussed. Our results are helpful to understand the soliton dynamics in alpha helical protein.

关键词: soliton, three-coupling nonlinear modified Schrö, dinger equation, similarity transformation

Abstract: The three-coupling modified nonlinear Schrödinger (MNLS) equation with variable-coefficients is used to describe the dynamics of soliton in alpha helical protein. This MNLS equation with variable-coefficients is firstly transformed to the MNLS equation with constant-coefficients by similarity transformation. And then the one-soliton and two-soliton solutions of the variable-coefficient-MNLS equation are obtained by solving the constant-coefficient-MNLS equation with Hirota method. The effects of different parameter conditions on the soliton solutions are discussed in detail. The interaction between two solitons is also discussed. Our results are helpful to understand the soliton dynamics in alpha helical protein.

Key words: soliton, three-coupling nonlinear modified Schrö, dinger equation, similarity transformation

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)

李明明, 胡成来, 吴俊, 来娴静, 王悦悦. Soliton excitations and interaction in alpha helical protein with interspine coupling in modified nonlinear Schrödinger equation[J]. 中国物理B, 2019, 28(12): 120502-120502.

Ming-Ming Li(李明明), Cheng-Lai Hu(胡成来), Jun Wu(吴俊), Xian-Jing Lai(来娴静), Yue-Yue Wang(王悦悦). Soliton excitations and interaction in alpha helical protein with interspine coupling in modified nonlinear Schrödinger equation[J]. Chin. Phys. B, 2019, 28(12): 120502-120502.

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Soliton excitations and interaction in alpha helical protein with interspine coupling in modified nonlinear Schrödinger equation

Soliton excitations and interaction in alpha helical protein with interspine coupling in modified nonlinear Schrödinger equation

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