Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation
Lump-type wave solution of the Bogoyavlenskii–Kadomtsev–Petviashvili equation is constructed by using the bilinear structure and Hermitian quadratic form. The dynamical behaviors of lump-type wave solution are investigated and presented analytically and graphically. Furthermore, we discuss the inter...
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Format: | Article |
Language: | English |
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Wiley
2020-01-01
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Series: | Complexity |
Online Access: | http://dx.doi.org/10.1155/2020/2476923 |
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author | Chuanjian Wang Hui Fang |
author_facet | Chuanjian Wang Hui Fang |
author_sort | Chuanjian Wang |
collection | DOAJ |
description | Lump-type wave solution of the Bogoyavlenskii–Kadomtsev–Petviashvili equation is constructed by using the bilinear structure and Hermitian quadratic form. The dynamical behaviors of lump-type wave solution are investigated and presented analytically and graphically. Furthermore, we discuss the interaction between a lump-type wave and a kink wave solution. Absorb-emit interaction between two kinds of solitary wave solutions is shown. This kind of interaction solution can be regarded as a lump-type wave which propagates on the kink wave background. |
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id | doaj-art-81d9c3d7a88543e8a982b57f0d7fc952 |
institution | Kabale University |
issn | 1076-2787 1099-0526 |
language | English |
publishDate | 2020-01-01 |
publisher | Wiley |
record_format | Article |
series | Complexity |
spelling | doaj-art-81d9c3d7a88543e8a982b57f0d7fc9522025-02-03T05:59:35ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/24769232476923Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili EquationChuanjian Wang0Hui Fang1School of Science, Kunming University of Science and Technology, Kunming 650093, ChinaSchool of Science, Kunming University of Science and Technology, Kunming 650093, ChinaLump-type wave solution of the Bogoyavlenskii–Kadomtsev–Petviashvili equation is constructed by using the bilinear structure and Hermitian quadratic form. The dynamical behaviors of lump-type wave solution are investigated and presented analytically and graphically. Furthermore, we discuss the interaction between a lump-type wave and a kink wave solution. Absorb-emit interaction between two kinds of solitary wave solutions is shown. This kind of interaction solution can be regarded as a lump-type wave which propagates on the kink wave background.http://dx.doi.org/10.1155/2020/2476923 |
spellingShingle | Chuanjian Wang Hui Fang Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation Complexity |
title | Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation |
title_full | Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation |
title_fullStr | Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation |
title_full_unstemmed | Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation |
title_short | Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation |
title_sort | lump type wave and interaction solutions of the bogoyavlenskii kadomtsev petviashvili equation |
url | http://dx.doi.org/10.1155/2020/2476923 |
work_keys_str_mv | AT chuanjianwang lumptypewaveandinteractionsolutionsofthebogoyavlenskiikadomtsevpetviashviliequation AT huifang lumptypewaveandinteractionsolutionsofthebogoyavlenskiikadomtsevpetviashviliequation |