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

doi:10.1088/1674-1056/ab5188

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.

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

Received: 31 July 2019
Revised: 18 September 2019
Accepted manuscript online:

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 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.

Corresponding Authors: Yue-Yue Wang
E-mail: yyshiyan@126.com

Cite this article:

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 2019 Chin. Phys. B 28 120502

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

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