Dynamics of complexiton, Y-type soliton and interaction solutions to the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation in liquid with gas bubbles

This paper focuses on some novel exact solutions of the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation (KSE). Based on the linear superposition principle (LSP) and weight algorithm (WA), we construct the complexiton solutions by introducing the pairs of the conjugate parameters. Besides, the...

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Main Author: Kang-Jia Wang
Format: Article
Language:English
Published: Elsevier 2023-11-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379723008616
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author Kang-Jia Wang
author_facet Kang-Jia Wang
author_sort Kang-Jia Wang
collection DOAJ
description This paper focuses on some novel exact solutions of the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation (KSE). Based on the linear superposition principle (LSP) and weight algorithm (WA), we construct the complexiton solutions by introducing the pairs of the conjugate parameters. Besides, the Y-type soliton solutions are extracted by imposing the resonant conditions on the N-soliton solutions. Finally, two different types of the interaction solutions (ISs) are also explored by exerting the test function method and symbolic computation. The graphical representations of the corresponding solutions are presented to reveal the dynamical characteristics. To the best of our knowledge, the attained outcomes of this article are brand new and have never been reported in other literature, and can enable us make sense of the physical behaviors of the (3 + 1)-dimensional KSE better.
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spelling doaj.art-d207d069b35e400ea7a765651c4207782023-11-17T05:26:24ZengElsevierResults in Physics2211-37972023-11-0154107068Dynamics of complexiton, Y-type soliton and interaction solutions to the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation in liquid with gas bubblesKang-Jia Wang0School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, ChinaThis paper focuses on some novel exact solutions of the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation (KSE). Based on the linear superposition principle (LSP) and weight algorithm (WA), we construct the complexiton solutions by introducing the pairs of the conjugate parameters. Besides, the Y-type soliton solutions are extracted by imposing the resonant conditions on the N-soliton solutions. Finally, two different types of the interaction solutions (ISs) are also explored by exerting the test function method and symbolic computation. The graphical representations of the corresponding solutions are presented to reveal the dynamical characteristics. To the best of our knowledge, the attained outcomes of this article are brand new and have never been reported in other literature, and can enable us make sense of the physical behaviors of the (3 + 1)-dimensional KSE better.http://www.sciencedirect.com/science/article/pii/S2211379723008616Linear superposition principleWeight algorithmComplexiton solutionsY-type soliton solutionsInteraction solutions
spellingShingle Kang-Jia Wang
Dynamics of complexiton, Y-type soliton and interaction solutions to the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation in liquid with gas bubbles
Results in Physics
Linear superposition principle
Weight algorithm
Complexiton solutions
Y-type soliton solutions
Interaction solutions
title Dynamics of complexiton, Y-type soliton and interaction solutions to the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation in liquid with gas bubbles
title_full Dynamics of complexiton, Y-type soliton and interaction solutions to the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation in liquid with gas bubbles
title_fullStr Dynamics of complexiton, Y-type soliton and interaction solutions to the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation in liquid with gas bubbles
title_full_unstemmed Dynamics of complexiton, Y-type soliton and interaction solutions to the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation in liquid with gas bubbles
title_short Dynamics of complexiton, Y-type soliton and interaction solutions to the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation in liquid with gas bubbles
title_sort dynamics of complexiton y type soliton and interaction solutions to the 3 1 dimensional kudryashov sinelshchikov equation in liquid with gas bubbles
topic Linear superposition principle
Weight algorithm
Complexiton solutions
Y-type soliton solutions
Interaction solutions
url http://www.sciencedirect.com/science/article/pii/S2211379723008616
work_keys_str_mv AT kangjiawang dynamicsofcomplexitonytypesolitonandinteractionsolutionstothe31dimensionalkudryashovsinelshchikovequationinliquidwithgasbubbles