Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method
In this paper, we examine a modified auxiliary equation method. We applied this novel method on Wu-Zhang system. This model used to describe (1 + 1)-dimensional dispersive long wave in two horizontal directions on shallow waters. This model is one of the fractional nonlinear partial differential equ...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2019-02-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.5087647 |
| _version_ | 1819075291779170304 |
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| author | Mostafa M. A. Khater Dianchen Lu Raghda A. M. Attia |
| author_facet | Mostafa M. A. Khater Dianchen Lu Raghda A. M. Attia |
| author_sort | Mostafa M. A. Khater |
| collection | DOAJ |
| description | In this paper, we examine a modified auxiliary equation method. We applied this novel method on Wu-Zhang system. This model used to describe (1 + 1)-dimensional dispersive long wave in two horizontal directions on shallow waters. This model is one of the fractional nonlinear partial differential equations. We used conformable derivatives properties to convert nonlinear fractional partial differential equation into the ordinary differential equation with integer order. We obtained many different kinds of solutions such as kink and anti-kink, dark, bright, shock, singular, periodic solitary wave. |
| first_indexed | 2024-12-21T18:23:05Z |
| format | Article |
| id | doaj.art-7d520b35f89f4234940c59681d802ee6 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-21T18:23:05Z |
| publishDate | 2019-02-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-7d520b35f89f4234940c59681d802ee62022-12-21T18:54:30ZengAIP Publishing LLCAIP Advances2158-32262019-02-0192025003025003-810.1063/1.5087647005902ADVDispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation methodMostafa M. A. Khater0Dianchen Lu1Raghda A. M. Attia2Department of Mathematics, Faculty of Science, Jiangsu University, 212013, ChinaDepartment of Mathematics, Faculty of Science, Jiangsu University, 212013, ChinaDepartment of Mathematics, Faculty of Science, Jiangsu University, 212013, ChinaIn this paper, we examine a modified auxiliary equation method. We applied this novel method on Wu-Zhang system. This model used to describe (1 + 1)-dimensional dispersive long wave in two horizontal directions on shallow waters. This model is one of the fractional nonlinear partial differential equations. We used conformable derivatives properties to convert nonlinear fractional partial differential equation into the ordinary differential equation with integer order. We obtained many different kinds of solutions such as kink and anti-kink, dark, bright, shock, singular, periodic solitary wave.http://dx.doi.org/10.1063/1.5087647 |
| spellingShingle | Mostafa M. A. Khater Dianchen Lu Raghda A. M. Attia Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method AIP Advances |
| title | Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method |
| title_full | Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method |
| title_fullStr | Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method |
| title_full_unstemmed | Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method |
| title_short | Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method |
| title_sort | dispersive long wave of nonlinear fractional wu zhang system via a modified auxiliary equation method |
| url | http://dx.doi.org/10.1063/1.5087647 |
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