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Interaction properties of solitons for a couple of nonlinear evolution equations |
Syed Tahir Raza Rizvi1,†, Ishrat Bibi1, Muhammad Younis2,‡, and Ahmet Bekir3,§ |
1 Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan; 2 Punjab University College of Information Technology, University of the Punjab, Lahore, Pakistan; 3 Neighbourhood of Akcaglan, Imarli Street Number 28/4, 26030, Eskisehir, Turkey |
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Abstract We study one-and two-soliton solutions for the Cahn-Allen (CA) equation and the Brethorton equation. The CA equation has broad spectrum of applications especially in anti-phase boundary motion and it is used in phase-field models. While the Brethorton equation is a model for dispersive wave systems, it is used to find the resonant nonlinear interaction among three linear modes. We use the Hirota bilinear method to obtain one-and two-soliton solutions to the CA equation and the Brethorton equation.
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Received: 15 July 2020
Revised: 08 August 2020
Accepted manuscript online: 13 August 2020
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PACS:
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05.45.Yv
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(Solitons)
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94.05.Fg
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(Solitons and solitary waves)
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Corresponding Authors:
†Corresponding author. E-mail: srizvi@cuilahore.edu.pk ‡Corresponding author. E-mail: younis.pu@gmail.com §Corresponding author. E-mail: bekirahmet@gmail.com
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Cite this article:
Syed Tahir Raza Rizvi, Ishrat Bibi, Muhammad Younis, and Ahmet Bekir Interaction properties of solitons for a couple of nonlinear evolution equations 2021 Chin. Phys. B 30 010502
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1 Rui X H U, Chao J C and Yong C 2015 Chin. Phys. Lett. 32 70201 2 Jun F X, Peng Z, Sheng L, et al.2012 Acta Phys. Sin. 61 134207 (in Chinese) 3 Jun F X, Peng Z, Sheng L, et al.2008 Acta Phys. Sin. 57 2529 (in Chinese) 4 Gang Y L, Long W S and Cheng H W 2007 Acta Phys. Sin. 56 2229 (in Chinese) 5 Qun Y X and Qi G 2004 Acta Phys. Sin. 53 3020 (in Chinese) 6 Yuan F, He S J and Cheng Y 2019 Chin. Phys. B 28 100202 7 Huang L L, Qiao J Z and Chen Y 2018 Chin. Phys. B 27 020201 8 Song Q C, Xiao M D and Zhu N Z 2017 Chin. Phys. B 26 100204 9 Xia R Y, Xin P X and Zhang L S 2017 Chin. Phys. B 26 030202 10 Shakeel M, Iqbal M A, Hassan Q M and Ayub K 2020 Ind. J. Phys. 94 885 11 Shakeel M, Mohyuddin S T and Iqbal M A 2018 Comput. Math. Appl. 76 799 12 Shakeel M, Iqbal M A and Mohyuddin S T 2018 J. Biol. Sys. 26 207 13 Wazwaz A M 2006 Chaos, Solitons & Fractals 28 1005 14 Liu W, Zhang Y, Triki H, et al.2019 Nonlin. Dyn. 95 557 15 Yang C, Liu W, Zhou Q, et al.2019 Nonlin. Dyn. 95 369 16 Bulut H, Atas S S and Baskonus H M 2016 Cogent Phys. 3 1240886 17 Ma W X, Huang T and Zhang Y 2010 Phys. Scr. 82 065003 18 Ma W X and Lee J H 2009 Chaos, Solitons & Fractals 42 1356 19 Zhang H and Ma W X 2014 Appl. Math. Comput. 230 509 20 Ma W X and Fuchssteiner B 1996 Int. J. Non-Linear Mech. 31 329 21 Yu W, Zhou Q, Mirzazadeh M, Liu W and Biswas A 2019 J. Adv. Res. 15 69 22 Liu X, Triki H, Zhou Q, et al.2019 Nonlin. Dyn. 95 143 23 Wazwaz A M 2008 Appl. Math. Comput. 201 489 24 Wazwaz A M 2012 Appl. Math. Lett. 25 2354 25 Yokus A and Bulut H 2019 Int. J. Optim. Control: Theor. & Appl. 9 18 26 Liu W, Yang C, Liu M, et al.2017 Phys. Rev. E 96 042201 27 Tascan F and Bekir A 2009 Appl. Math. Comput. 207 279 28 Triki H, Yildirim A, Hayat T, Aldossar O M and Biswas A2012 Proc. Rom. Acad. Ser. A 13 103 29 Oguz C, Yildirim A and Meherrem S 2012 Commun. Numer. Anal. 11 362 |
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