Diversity of interaction solutions to the (2+1)-dimensional Ito equation
We aim to show the diversity of interaction solutions to the (2+1)-dimensional Ito equation, based on its Hirota bilinear form. The proof is given through Maple symbolic computations. An interesting characteristic in the resulting interaction solutions is the involvement of an arbitrary function. Sp...
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| Published in | Computers & mathematics with applications (1987) Vol. 75; no. 1; pp. 289 - 295 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Elsevier Ltd
01.01.2018
Elsevier BV |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0898-1221 1873-7668 |
| DOI | 10.1016/j.camwa.2017.09.013 |
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| Abstract | We aim to show the diversity of interaction solutions to the (2+1)-dimensional Ito equation, based on its Hirota bilinear form. The proof is given through Maple symbolic computations. An interesting characteristic in the resulting interaction solutions is the involvement of an arbitrary function. Special cases lead to lump solutions, lump-soliton solutions and lump-kink solutions. Two illustrative examples of the resulting solutions are displayed by three-dimensional plots and contour plots. |
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| AbstractList | We aim to show the diversity of interaction solutions to the (2+1 )-dimensional Ito equation, based on its Hirota bilinear form. The proof is given through Maple symbolic computations. An interesting characteristic in the resulting interaction solutions is the involvement of an arbitrary function. Special cases lead to lump solutions, lump-soliton solutions and lump-kink solutions. Two illustrative examples of the resulting solutions are displayed by three-dimensional plots and contour plots. |
| Author | Yong, Xuelin Zhang, Hai-Qiang Ma, Wen-Xiu |
| Author_xml | – sequence: 1 givenname: Wen-Xiu orcidid: 0000-0001-5309-1493 surname: Ma fullname: Ma, Wen-Xiu email: mawx@cas.usf.edu organization: College of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China – sequence: 2 givenname: Xuelin surname: Yong fullname: Yong, Xuelin organization: Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA – sequence: 3 givenname: Hai-Qiang surname: Zhang fullname: Zhang, Hai-Qiang organization: Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA |
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| Snippet | We aim to show the diversity of interaction solutions to the (2+1)-dimensional Ito equation, based on its Hirota bilinear form. The proof is given through... We aim to show the diversity of interaction solutions to the (2+1 )-dimensional Ito equation, based on its Hirota bilinear form. The proof is given through... |
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| Title | Diversity of interaction solutions to the (2+1)-dimensional Ito equation |
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