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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Main Authors: Deniu Yang, Xujie Jiang
Format: Article
Language:English
Published: Elsevier 2023-10-01
Series:Results in Physics
Subjects:
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.
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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
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AT xujiejiang linesolitonlumpandinteractionsolutionstothe21dimensionalhirotasatsumaitoequationwithtimedependentviahirotabilinearforms