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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 |
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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.
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Received: 31 July 2019
Revised: 18 September 2019
Accepted manuscript online:
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PACS:
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05.45.Yv
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(Solitons)
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02.70.Wz
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(Symbolic computation (computer algebra))
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87.10.Ed
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(Ordinary differential equations (ODE), partial differential equations (PDE), integrodifferential models)
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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
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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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[35] |
Zhang B, Zhang X L and Dai C Q 2017 Nonlinear Dyn. 87 2385
|
[1] |
Pang X F 2011 Phys. Life Rev. 8 264
|
[36] |
Ding D J, Jin D Q and Dai C Q 2017 Therm. Sci. 21 1701
|
[2] |
Pang X F 2014 Biophys. Rev. Lett. 9 1
|
[37] |
Dai C Q, Zhou G Q, Chen R P, Lai X J and Zheng J 2017 Nonlinear Dyn. 88 2629
|
[3] |
Bakhshi A K, Ladik J, Seel M and Otto P 1986 Chem. Phys. 108 233
|
[38] |
Qin X 2018 Chin. Phys. B 27 100203
|
[4] |
Hol and Wim G J 1985 Prog. Biophys. Mol. Biology 45 149
|
[39] |
Han L J, Huang Y H and Liu H 2014 Commun. Nonlinear Sci. Num. Simul. 19 3063
|
[5] |
Davydov A S and Kislukha N I 1973 Phys. Status Solidi 59 465
|
[40] |
Xu T, Tian B, Zhang C, Meng X H and Xing Lü 2009 J. Phys. A: Math. Theor. 42 415201
|
[6] |
Scott A C 1982 Phys. Rev. A 26 578
|
[7] |
Davydov A S 1979 Phys. Scr. 20 387
|
[8] |
Biswas A, Moran A, Milovic, D, Majid F and Biswas K C 2010 Math. Biosci. 227 68
|
[9] |
Dai C Q, Chen R P, Wang Y Y and Fan Y 2017 Nonlinear Dyn. 87 1675
|
[10] |
Ren Y, Liu C, Yang Z Y and Yang W L 2018 Phys. Rev. E 98 062223
|
[11] |
Zhou G and Ru G 2013 Prog. Electromagn. Res. 141 75
|
[12] |
Huang W H 2009 Chin. Phys. B 18 3163
|
[13] |
Duan W S 2004 Chin. Phys. B 13 598
|
[14] |
Zhang G T, Huang J J and Alatancang 2012 Acta Phys. Sin. 61 140205 (in Chinese)
|
[15] |
Qi G W, Hou G L and Alatancang 2011 Chin. Phys. B 20 124601
|
[16] |
Song K, Hou G L and Alatancang 2013 Chin. Phys. B 22 094601
|
[17] |
Brown D W 1988 Phys. Rev. A 37 5010
|
[18] |
Davydov A S 1981 Physica D: Nonlinear Phenomena 3 1
|
[19] |
Brizhik L, Eremko A, Piette B and Zakrzewski W 2004 Phys. Rev. E 70 031914
|
[20] |
Ichinose S 1991 Chaos, Solitons & Fractals 1 501
|
[21] |
Förner W 1997 Molecular Modeling Annual 2 103
|
[22] |
Pang X F and Müller K H 2000 J. Phys.: Condens. Matter 12 885
|
[23] |
Daniel M and Latha M M 2001 Physica A: Statistical Mechanics and its Applications 298 351
|
[24] |
Veni S Saravana and Latha M M 2014 Commun. Nonlinear Sci. Num. Simul. 19 2758
|
[25] |
Kong L Q, Liu J, Jin D Q, Ding D J and Dai C Q 2017 Nonlinear Dyn. 87 83
|
[26] |
Qin B, Tian B, Liu W J, Liu L C, Qu Q X and Zhang H Q 2011 SIAM J. Appl. Math. 71 1317
|
[27] |
Liu J, Jin D Q, Zhang X L, Wang Y Y and Dai C Q 2018 Optik 158 97
|
[28] |
Liu C, Yang Z Y, Yang W L and Akhmediev N 2019 JOSA B 36 1294
|
[29] |
Liu W J, Yang C Y, Liu M L, Yu W T, Zhang Y J and Lei M 2017 Phys. Rev. E 96 042201
|
[30] |
Liu C, Yang Z Y and Yang W L 2018 Chaos: An Interdisciplinary Journal of Nonlinear Science 28 083110
|
[31] |
Wang N 2012 Chin. Phys. B 21 010202
|
[32] |
Zakharov V E and Gelash A A 2013 Phys. Rev. Lett. 111 054101
|
[33] |
Ren Y, Wang X, Liu C, Yang Z Y and Yang W L 2018 Commun. Nonlinear Sci. Num. Simul. 63 161
|
[34] |
Liu C, Ren Y, Yang Z Y and Yang W L 2017 Chaos: An Interdisciplinary Journal of Nonlinear Science 27 083120
|
[35] |
Zhang B, Zhang X L and Dai C Q 2017 Nonlinear Dyn. 87 2385
|
[36] |
Ding D J, Jin D Q and Dai C Q 2017 Therm. Sci. 21 1701
|
[37] |
Dai C Q, Zhou G Q, Chen R P, Lai X J and Zheng J 2017 Nonlinear Dyn. 88 2629
|
[38] |
Qin X 2018 Chin. Phys. B 27 100203
|
[39] |
Han L J, Huang Y H and Liu H 2014 Commun. Nonlinear Sci. Num. Simul. 19 3063
|
[40] |
Xu T, Tian B, Zhang C, Meng X H and Xing Lü 2009 J. Phys. A: Math. Theor. 42 415201
|
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