Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion
We study peakon, cuspon, compacton, and loop solutions for the three-dimensional Kadomtsev-Petviashvili equation (3DKP(3,2) equation) with nonlinear dispersion. Based on the method of dynamical systems, the 3DKP(3,2) equation is shown to have the parametric representations of the solitary wave solut...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/934987 |
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| _version_ | 1832558476178489344 |
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| author | Haixia Zhao Lijing Qiao Shengqiang Tang |
| author_facet | Haixia Zhao Lijing Qiao Shengqiang Tang |
| author_sort | Haixia Zhao |
| collection | DOAJ |
| description | We study peakon, cuspon, compacton, and loop solutions for the three-dimensional Kadomtsev-Petviashvili equation (3DKP(3,2) equation) with nonlinear dispersion. Based on the method of dynamical systems, the 3DKP(3,2) equation is shown to have the parametric representations of the solitary wave solutions such as peakon, cuspon, compacton, and loop solutions. As a result, the conditions under which peakon, cuspon, compacton, and loop solutions appear are also given. |
| format | Article |
| id | doaj-art-b9e9d87d81c64267ae57cf4ff5cc484f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b9e9d87d81c64267ae57cf4ff5cc484f2025-02-03T01:32:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/934987934987Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear DispersionHaixia Zhao0Lijing Qiao1Shengqiang Tang2School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaWe study peakon, cuspon, compacton, and loop solutions for the three-dimensional Kadomtsev-Petviashvili equation (3DKP(3,2) equation) with nonlinear dispersion. Based on the method of dynamical systems, the 3DKP(3,2) equation is shown to have the parametric representations of the solitary wave solutions such as peakon, cuspon, compacton, and loop solutions. As a result, the conditions under which peakon, cuspon, compacton, and loop solutions appear are also given.http://dx.doi.org/10.1155/2014/934987 |
| spellingShingle | Haixia Zhao Lijing Qiao Shengqiang Tang Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion Abstract and Applied Analysis |
| title | Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion |
| title_full | Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion |
| title_fullStr | Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion |
| title_full_unstemmed | Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion |
| title_short | Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion |
| title_sort | peakon cuspon compacton and loop solutions of a three dimensional 3dkp 3 2 equation with nonlinear dispersion |
| url | http://dx.doi.org/10.1155/2014/934987 |
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