Soliton excitations and shape-changing collisions in alpha helical proteins with interspine coupling at higher order

被引：134

作者：

Lu, Xing ^{[1
]}

Lin, Fuhong ^{[2
]}

机构：

[1] Beijing Jiao Tong Univ, Dept Math, Beijing 100044, Peoples R China

[2] Univ Sci & Technol Beijing, Sch Comp & Commun Engn, Beijing 100083, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2016年 / 32卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Darboux transformation; Soliton; Shape-changing collision; Alpha helical proteins with interspine coupling at higher order; Optical communication; NONLINEAR SCHRODINGER-EQUATIONS; BILINEAR BACKLUND TRANSFORMATION; OPTICAL-FIBER COMMUNICATIONS; DAVYDOV SOLITON; SYMBOLIC COMPUTATION; DARK SOLITONS; MODEL; REPRESENTATION; INTEGRABILITY; TRANSPORT;

D O I：

10.1016/j.cnsns.2015.08.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the Lax representation, we solve the three coupled higher order nonlinear Schrodinger equations with the achievement of N-soliton solution formula, by means of Darboux transformation. With the involvement of multi-parameters (actually 21 parameters) in the two-soliton solutions, we investigate the soliton excitations and collisions in alpha helical proteins with interspine coupling at higher order, in virtue of multi-parameter management and graphical simulation. It is found that both elastic and inelastic collisions can take place under suitable parametric conditions. Additionally, there exist three kinds of shape-changing collision patterns among the three components, and the inelastic collision of single solitons occur in two different manners: enhancement or suppression of intensity. Our results of multiparameter management analysis may give theoretical support as well as further impetus in the experimental investigation on soliton excitations, elastic and inelastic collisions in alpha helical proteins with interspine coupling at higher order. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：241 / 261

页数：21

共 37 条

[1]

Ablowitz KJ, 1973, PHYS REV LETT, V31, P125

[2] Solitons in α-helical proteins -: art. no. 031914 [J].

Brizhik, L ;

Eremko, A ;

Piette, B ;

Zakrzewski, W .

PHYSICAL REVIEW E, 2004, 70 (03)

[3] Soliton in alpha helical proteins with interspine coupling at higher order [J].

Daniel, M ;

Latha, MM .

PHYSICS LETTERS A, 2002, 302 (2-3) :94-104

[4] DAVYDOV SOLITON IN ALPHA-HELICAL PROTEINS - HIGHER-ORDER AND DISCRETENESS EFFECTS [J].

DANIEL, M ;

DEEPAMALA, K .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1995, 221 (1-3) :241-255

[5] Soliton in discrete and continuum alpha helical proteins with interspine coupling [J].

Daniel, M ;

Latha, MM .

PHYSICS LETTERS A, 1999, 252 (1-2) :92-108

[6] Soliton in discrete and continuum alpha helical proteins with higher-order excitations [J].

Daniel, M ;

Latha, MM .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1997, 240 (3-4) :526-546

[7] A generalized Davydov soliton model for energy transfer in alpha helical proteins [J].

Daniel, M ;

Latha, MM .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2001, 298 (3-4) :351-370

[8]

Davydov A.S., 1985, Solitons in Molecular Systems

[9] THEORY OF CONTRACTION OF PROTEINS UNDER THEIR EXCITATION [J].

DAVYDOV, AS .

JOURNAL OF THEORETICAL BIOLOGY, 1973, 38 (03) :559-569

[10] SOLITONS IN MOLECULAR-SYSTEMS [J].

DAVYDOV, AS .

PHYSICA SCRIPTA, 1979, 20 (3-4) :387-394

← 1 2 3 4 →