Interaction Behaviours between Soliton and Cnoidal Periodic Waves for Nonlocal Complex Modified Korteweg–de Vries Equation
The reverse space-time nonlocal complex modified Kortewewg–de Vries (mKdV) equation is investigated by using the consistent tanh expansion (CTE) method. According to the CTE method, a nonauto-Bäcklund transformation theorem of nonlocal complex mKdV is obtained. The interactions between one kink soli...
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MDPI AG
2022-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/9/1429 |
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| author | Junda Peng Bo Ren Shoufeng Shen Guofang Wang |
| author_facet | Junda Peng Bo Ren Shoufeng Shen Guofang Wang |
| author_sort | Junda Peng |
| collection | DOAJ |
| description | The reverse space-time nonlocal complex modified Kortewewg–de Vries (mKdV) equation is investigated by using the consistent tanh expansion (CTE) method. According to the CTE method, a nonauto-Bäcklund transformation theorem of nonlocal complex mKdV is obtained. The interactions between one kink soliton and other different nonlinear excitations are constructed via the nonauto-Bäcklund transformation theorem. By selecting cnoidal periodic waves, the interaction between one kink soliton and the cnoidal periodic waves is derived. The specific Jacobi function-type solution and graphs of its analysis are provided in this paper. |
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| format | Article |
| id | doaj.art-8c70082f59744134b6c73229589a62fd |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:56:43Z |
| publishDate | 2022-04-01 |
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| series | Mathematics |
| spelling | doaj.art-8c70082f59744134b6c73229589a62fd2023-11-23T08:44:10ZengMDPI AGMathematics2227-73902022-04-01109142910.3390/math10091429Interaction Behaviours between Soliton and Cnoidal Periodic Waves for Nonlocal Complex Modified Korteweg–de Vries EquationJunda Peng0Bo Ren1Shoufeng Shen2Guofang Wang3Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaThe reverse space-time nonlocal complex modified Kortewewg–de Vries (mKdV) equation is investigated by using the consistent tanh expansion (CTE) method. According to the CTE method, a nonauto-Bäcklund transformation theorem of nonlocal complex mKdV is obtained. The interactions between one kink soliton and other different nonlinear excitations are constructed via the nonauto-Bäcklund transformation theorem. By selecting cnoidal periodic waves, the interaction between one kink soliton and the cnoidal periodic waves is derived. The specific Jacobi function-type solution and graphs of its analysis are provided in this paper.https://www.mdpi.com/2227-7390/10/9/1429nonlocal modified Korteweg–de Vries equationconsistent tanh expansion methodparity-time symmetry |
| spellingShingle | Junda Peng Bo Ren Shoufeng Shen Guofang Wang Interaction Behaviours between Soliton and Cnoidal Periodic Waves for Nonlocal Complex Modified Korteweg–de Vries Equation Mathematics nonlocal modified Korteweg–de Vries equation consistent tanh expansion method parity-time symmetry |
| title | Interaction Behaviours between Soliton and Cnoidal Periodic Waves for Nonlocal Complex Modified Korteweg–de Vries Equation |
| title_full | Interaction Behaviours between Soliton and Cnoidal Periodic Waves for Nonlocal Complex Modified Korteweg–de Vries Equation |
| title_fullStr | Interaction Behaviours between Soliton and Cnoidal Periodic Waves for Nonlocal Complex Modified Korteweg–de Vries Equation |
| title_full_unstemmed | Interaction Behaviours between Soliton and Cnoidal Periodic Waves for Nonlocal Complex Modified Korteweg–de Vries Equation |
| title_short | Interaction Behaviours between Soliton and Cnoidal Periodic Waves for Nonlocal Complex Modified Korteweg–de Vries Equation |
| title_sort | interaction behaviours between soliton and cnoidal periodic waves for nonlocal complex modified korteweg de vries equation |
| topic | nonlocal modified Korteweg–de Vries equation consistent tanh expansion method parity-time symmetry |
| url | https://www.mdpi.com/2227-7390/10/9/1429 |
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