A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions
An extended (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff-like equation is proposed by using the generalized bilinear operators based on a prime number p=3. By combining multiexponential functions with a quadratic function, the interaction between lumps and multikink soliton is generated. In the...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/4072754 |
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| author | Bo Ren Ji Lin Zhi-Mei Lou |
| author_facet | Bo Ren Ji Lin Zhi-Mei Lou |
| author_sort | Bo Ren |
| collection | DOAJ |
| description | An extended (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff-like equation is proposed by using the generalized bilinear operators based on a prime number p=3. By combining multiexponential functions with a quadratic function, the interaction between lumps and multikink soliton is generated. In the meanwhile, the interaction of lump with periodic waves and the interaction among lumps, periodic waves, and multikink soliton can be obtained by introducing the ansätz forms. The dynamics of these interaction solutions are analyzed graphically by selecting appropriate parameters. |
| format | Article |
| id | doaj-art-ac9772d6ea624486b04628899588b7b1 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-ac9772d6ea624486b04628899588b7b12025-02-03T01:11:11ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/40727544072754A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton SolutionsBo Ren0Ji Lin1Zhi-Mei Lou2Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, ChinaDepartment of Physics, Zhejiang Normal University, Jinhua 321004, ChinaInstitute of Nonlinear Science, Shaoxing University, Shaoxing 312000, ChinaAn extended (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff-like equation is proposed by using the generalized bilinear operators based on a prime number p=3. By combining multiexponential functions with a quadratic function, the interaction between lumps and multikink soliton is generated. In the meanwhile, the interaction of lump with periodic waves and the interaction among lumps, periodic waves, and multikink soliton can be obtained by introducing the ansätz forms. The dynamics of these interaction solutions are analyzed graphically by selecting appropriate parameters.http://dx.doi.org/10.1155/2019/4072754 |
| spellingShingle | Bo Ren Ji Lin Zhi-Mei Lou A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions Complexity |
| title | A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions |
| title_full | A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions |
| title_fullStr | A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions |
| title_full_unstemmed | A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions |
| title_short | A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions |
| title_sort | new nonlinear equation with lump soliton lump periodic and lump periodic soliton solutions |
| url | http://dx.doi.org/10.1155/2019/4072754 |
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