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Fusionable and fissionable waves of (2+1)-dimensional shallow water wave equation |
| Jing Wang(王静)1, Xue-Li Ding(丁学利)1, and Biao Li(李彪)2 |
1. Basic Teaching Department, Fuyang Institute of Technology, Fuyang 236000, China;
2. School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China |
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Abstract We investigate a (2+1)-dimensional shallow water wave equation and describe its nonlinear dynamical behaviors in physics. Based on the N-soliton solutions, the higher-order fissionable and fusionable waves, fissionable or fusionable waves mixed with soliton molecular and breather waves can be obtained by various constraints of special parameters. At the same time, by the long wave limit method, the interaction waves between fissionable or fusionable waves with higher-order lumps are acquired. Combined with the dynamic figures of the waves, the properties of the solution are deeply studied to reveal the physical significance of the waves.
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Received: 11 April 2022
Revised: 10 May 2022
Accepted manuscript online:
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PACS:
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05.45.Yv
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(Solitons)
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02.30.Jr
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(Partial differential equations)
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| Fund: Project supported by the Excellent Talents Project of Colleges and Universities in Anhui Province of China (Grant No. gxyqZD2020077), the School-level Scientific Research Projects (Grant No. 2021KYXM08), the National Natural Science Foundation of China (Grant No. 11775121), and K. C. Wong Magna Fund in Ningbo University. |
Corresponding Authors:
Biao Li
E-mail: libiao@nbu.edu.cn
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Cite this article:
Jing Wang(王静), Xue-Li Ding(丁学利), and Biao Li(李彪) Fusionable and fissionable waves of (2+1)-dimensional shallow water wave equation 2022 Chin. Phys. B 31 100502
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[1] Bailung H 2011 Phys. Rev. Lett. 107 255005
[2] Hirota R 2004 The Direct Method in Soliton Theory (Cambridge: Cambridge University Press)
[3] Peng W Q and Chen Y 2022 Physica D 435 133274
[4] Yang X Y, Zhang Z and Li B 2020 Chin. Phys. B 29 100501
[5] Wang Y, Chen M D, Li X and Li B 2017 Z. Naturforsch. A 72 419
[6] Wang J and Li B 2020 Complexity 2020 1
[7] Tian B and Gao Y T 1996 Comput. Phys. Commun. 95 139
[8] Zayed E M E 2010 J. Appl. Math. Informat. 28 383
[9] Tang Y N, Ma W X and Xu W 2012 Chin. Phys. B 21 070212
[10] Zeng Z F, Liu J G and Nie B 2016 Nonlinear Dynam. 86 667
[11] Liu J G and He Y 2017 Nonlinear Dynam. 90 363
[12] Liu X Z and Yu J 2022 Chin. Phys. B 31 050201
[13] Zhang Z, Yang X Y, Li W T and Li B 2019 Chin. Phys. B 28 110201
[14] Zhang Z, Qi Z Q and Li B 2020 Appl. Math. Lett. 116 107004
[15] Yong X, Yang Y and Chen D 2011 Comput. Math. Appl. 62 1765
[16] Wazwaz A M 2013 Rom. Rep. Phys. 65 383
[17] Wang S, Tang X Y and Lou S Y 2004 Chaos, Solitons and Fractals 21 231
[18] Chen A H 2010 Phys. Lett. A 374 2340
[19] Chen A H and Wang F F 2019 Phys. Scripta 94 055206
[20] Lou S Y 2020 J. Phys. Commun. 4 041002 |
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