New Exact Solutions of Nonlinear (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation
Based on Hirota’s bilinear structure, we evolute a new protuberance type arrangement of the (3+1)-dimensional Boiti-Boiti-Leon-Manna-Pempinelli equation, which depicts nonlinear wave spreads in incompressible fluid. New lump arrangement is built by applying the bilinear strategy and picking appropri...
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Format: | Article |
Language: | English |
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Wiley
2019-01-01
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Series: | Advances in Mathematical Physics |
Online Access: | http://dx.doi.org/10.1155/2019/9801638 |
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author | Mohamed R. Ali Wen-Xiu Ma |
author_facet | Mohamed R. Ali Wen-Xiu Ma |
author_sort | Mohamed R. Ali |
collection | DOAJ |
description | Based on Hirota’s bilinear structure, we evolute a new protuberance type arrangement of the (3+1)-dimensional Boiti-Boiti-Leon-Manna-Pempinelli equation, which depicts nonlinear wave spreads in incompressible fluid. New lump arrangement is built by applying the bilinear strategy and picking appropriate polynomial. Under various parameter settings, this lump arrangement has three sorts of numerous irregularity waves, blended arrangements including lump waves and solitons are additionally developed. Association practices are seen between lump soliton and soliton. Research demonstrates that soliton can somewhat swallow or release lump waves. The shape and highlights for these subsequent arrangements are portrayed by exploiting the three-dimensional plots and comparing shape plots by picking suitable parameters. The physical significance of these charts is given. |
format | Article |
id | doaj-art-09020d81bc9d4494beaf5fbf1085fac2 |
institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2019-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Mathematical Physics |
spelling | doaj-art-09020d81bc9d4494beaf5fbf1085fac22025-02-03T01:31:20ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/98016389801638New Exact Solutions of Nonlinear (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli EquationMohamed R. Ali0Wen-Xiu Ma1Department of Mathematics, Benha Faculty of Engineering, Benha University, Benha, EgyptDepartment of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaBased on Hirota’s bilinear structure, we evolute a new protuberance type arrangement of the (3+1)-dimensional Boiti-Boiti-Leon-Manna-Pempinelli equation, which depicts nonlinear wave spreads in incompressible fluid. New lump arrangement is built by applying the bilinear strategy and picking appropriate polynomial. Under various parameter settings, this lump arrangement has three sorts of numerous irregularity waves, blended arrangements including lump waves and solitons are additionally developed. Association practices are seen between lump soliton and soliton. Research demonstrates that soliton can somewhat swallow or release lump waves. The shape and highlights for these subsequent arrangements are portrayed by exploiting the three-dimensional plots and comparing shape plots by picking suitable parameters. The physical significance of these charts is given.http://dx.doi.org/10.1155/2019/9801638 |
spellingShingle | Mohamed R. Ali Wen-Xiu Ma New Exact Solutions of Nonlinear (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation Advances in Mathematical Physics |
title | New Exact Solutions of Nonlinear (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation |
title_full | New Exact Solutions of Nonlinear (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation |
title_fullStr | New Exact Solutions of Nonlinear (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation |
title_full_unstemmed | New Exact Solutions of Nonlinear (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation |
title_short | New Exact Solutions of Nonlinear (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation |
title_sort | new exact solutions of nonlinear 3 1 dimensional boiti leon manna pempinelli equation |
url | http://dx.doi.org/10.1155/2019/9801638 |
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