Line-soliton, lump and interaction solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equation with time-dependent via Hirota bilinear forms
In this paper, we consider the (2+1)-dimensional generalized Hirota-Satsuma-Ito equation with time-dependent, which has applications in describing the propagation of shallow water waves. Based on the bilinear formalism and with the aid of symbolic computation, we obtain line-soliton, lump, one-lump-...
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Format: | Article |
Language: | English |
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Elsevier
2023-10-01
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Series: | Results in Physics |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723006976 |
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author | Deniu Yang Xujie Jiang |
author_facet | Deniu Yang Xujie Jiang |
author_sort | Deniu Yang |
collection | DOAJ |
description | In this paper, we consider the (2+1)-dimensional generalized Hirota-Satsuma-Ito equation with time-dependent, which has applications in describing the propagation of shallow water waves. Based on the bilinear formalism and with the aid of symbolic computation, we obtain line-soliton, lump, one-lump-one-stripe and one-lump-one-soliton using various ansatze’s function. To realize dynamics, we use diverse plots to analyze these solutions. Obtained solutions are reliable in the mathematical physics and engineering. |
first_indexed | 2024-03-11T18:31:24Z |
format | Article |
id | doaj.art-e06adbbba67641fb92d8fa3f52f8ecaa |
institution | Directory Open Access Journal |
issn | 2211-3797 |
language | English |
last_indexed | 2024-03-11T18:31:24Z |
publishDate | 2023-10-01 |
publisher | Elsevier |
record_format | Article |
series | Results in Physics |
spelling | doaj.art-e06adbbba67641fb92d8fa3f52f8ecaa2023-10-13T11:04:04ZengElsevierResults in Physics2211-37972023-10-0153106904Line-soliton, lump and interaction solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equation with time-dependent via Hirota bilinear formsDeniu Yang0Xujie Jiang1School of computer science, Guangdong University of Foreign Studies, South China Business College, Guangzhou 510545, PR China; Corresponding author.College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063, ChinaIn this paper, we consider the (2+1)-dimensional generalized Hirota-Satsuma-Ito equation with time-dependent, which has applications in describing the propagation of shallow water waves. Based on the bilinear formalism and with the aid of symbolic computation, we obtain line-soliton, lump, one-lump-one-stripe and one-lump-one-soliton using various ansatze’s function. To realize dynamics, we use diverse plots to analyze these solutions. Obtained solutions are reliable in the mathematical physics and engineering.http://www.sciencedirect.com/science/article/pii/S2211379723006976Hirota bilinear methodSolitonLumpInteraction solutionGeneralized Hirota-Satsuma-Ito equation |
spellingShingle | Deniu Yang Xujie Jiang Line-soliton, lump and interaction solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equation with time-dependent via Hirota bilinear forms Results in Physics Hirota bilinear method Soliton Lump Interaction solution Generalized Hirota-Satsuma-Ito equation |
title | Line-soliton, lump and interaction solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equation with time-dependent via Hirota bilinear forms |
title_full | Line-soliton, lump and interaction solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equation with time-dependent via Hirota bilinear forms |
title_fullStr | Line-soliton, lump and interaction solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equation with time-dependent via Hirota bilinear forms |
title_full_unstemmed | Line-soliton, lump and interaction solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equation with time-dependent via Hirota bilinear forms |
title_short | Line-soliton, lump and interaction solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equation with time-dependent via Hirota bilinear forms |
title_sort | line soliton lump and interaction solutions to the 2 1 dimensional hirota satsuma ito equation with time dependent via hirota bilinear forms |
topic | Hirota bilinear method Soliton Lump Interaction solution Generalized Hirota-Satsuma-Ito equation |
url | http://www.sciencedirect.com/science/article/pii/S2211379723006976 |
work_keys_str_mv | AT deniuyang linesolitonlumpandinteractionsolutionstothe21dimensionalhirotasatsumaitoequationwithtimedependentviahirotabilinearforms AT xujiejiang linesolitonlumpandinteractionsolutionstothe21dimensionalhirotasatsumaitoequationwithtimedependentviahirotabilinearforms |