Multiple wave solutions and auto-Bäcklund transformation for the (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation
The multiple Exp-function method is used to construct multiple wave solutions to the (3+1)-dimensional generalized BKP equation. The resulting solutions involve generic phase shifts and wave frequencies containing some existing choices. By taking the standard truncated Painlevé analysis, we obtained...
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| Vydané v: | Computers & mathematics with applications (1987) Ročník 70; číslo 5; s. 765 - 775 |
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| Jazyk: | English |
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01.09.2015
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| ISSN: | 0898-1221, 1873-7668 |
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| Abstract | The multiple Exp-function method is used to construct multiple wave solutions to the (3+1)-dimensional generalized BKP equation. The resulting solutions involve generic phase shifts and wave frequencies containing some existing choices. By taking the standard truncated Painlevé analysis, we obtained an auto-Bäcklund transformation and some types of exact solutions of the (3+1)-dimensional generalized BKP equation. Moreover, the linear superposition principles of hyperbolic and trigonometric function solutions are also presented. |
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| AbstractList | The multiple Exp-function method is used to construct multiple wave solutions to the (3+1)-dimensional generalized BKP equation. The resulting solutions involve generic phase shifts and wave frequencies containing some existing choices. By taking the standard truncated Painlevé analysis, we obtained an auto-Bäcklund transformation and some types of exact solutions of the (3+1)-dimensional generalized BKP equation. Moreover, the linear superposition principles of hyperbolic and trigonometric function solutions are also presented. |
| Author | Zhang, Yi Cheng, Li |
| Author_xml | – sequence: 1 givenname: Li surname: Cheng fullname: Cheng, Li email: jhchengli@126.com organization: Normal School, Jinhua Polytechnic, Jinhua 321007, China – sequence: 2 givenname: Yi surname: Zhang fullname: Zhang, Yi organization: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China |
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| CitedBy_id | crossref_primary_10_1155_2020_3465860 crossref_primary_10_1016_j_camwa_2019_01_027 crossref_primary_10_1016_j_camwa_2017_05_020 crossref_primary_10_1016_j_camwa_2016_09_003 crossref_primary_10_1016_j_ijleo_2021_166894 crossref_primary_10_1016_j_camwa_2019_03_031 crossref_primary_10_1140_epjp_i2017_11302_7 crossref_primary_10_1016_j_camwa_2018_03_024 |
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| Keywords | Generalized BKP equation Auto-Bäcklund transformation Hyperbolic and trigonometric function solutions Multiple wave solutions |
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| SubjectTerms | Auto-Bäcklund transformation Generalized BKP equation Hyperbolic and trigonometric function solutions Multiple wave solutions |
| Title | Multiple wave solutions and auto-Bäcklund transformation for the (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation |
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