New solitary wave structures to the (2 + 1)-dimensional KD and KP equations with spatio-temporal dispersion
The present paper studies the novel generalized (G′/G)-expansion technique to two nonlinear evolution equations: The (2+1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation and acquires some new exact answers. The secured answers include...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-12-01
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| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364720303050 |
| _version_ | 1819008112666869760 |
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| author | Md Nur Alam Cemil Tunç |
| author_facet | Md Nur Alam Cemil Tunç |
| author_sort | Md Nur Alam |
| collection | DOAJ |
| description | The present paper studies the novel generalized (G′/G)-expansion technique to two nonlinear evolution equations: The (2+1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation and acquires some new exact answers. The secured answers include a particular variety of solitary wave solutions, such as periodic, compaction, cuspon, kink, soliton, a bright periodic wave, Bell shape soliton, dark periodic wave and various kinds of soliton of the studied equation are achieved. These new particular kinds of solitary wave solutions will improve the earlier solutions and help us understand the physical meaning further and interpret the nonlinear generation of nonlinear wave equations of fluid in an elastic tube and liquid, including small bubbles and turbulence and the acoustic dust waves in dusty plasmas. Additionally, the studied approach could also be employed to obtain exact wave solutions for the other nonlinear evolution equations in applied sciences. |
| first_indexed | 2024-12-21T00:35:18Z |
| format | Article |
| id | doaj.art-4ad90eb94cfa46a9846bc633871bec6b |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-21T00:35:18Z |
| publishDate | 2020-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-4ad90eb94cfa46a9846bc633871bec6b2022-12-21T19:21:49ZengElsevierJournal of King Saud University: Science1018-36472020-12-0132834003409New solitary wave structures to the (2 + 1)-dimensional KD and KP equations with spatio-temporal dispersionMd Nur Alam0Cemil Tunç1School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026 China; Department of Mathematics, Pabna University of Science and Technology, Pabna 6600, BangladeshDepartment of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080 Van, Turkey; Corresponding author.The present paper studies the novel generalized (G′/G)-expansion technique to two nonlinear evolution equations: The (2+1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation and acquires some new exact answers. The secured answers include a particular variety of solitary wave solutions, such as periodic, compaction, cuspon, kink, soliton, a bright periodic wave, Bell shape soliton, dark periodic wave and various kinds of soliton of the studied equation are achieved. These new particular kinds of solitary wave solutions will improve the earlier solutions and help us understand the physical meaning further and interpret the nonlinear generation of nonlinear wave equations of fluid in an elastic tube and liquid, including small bubbles and turbulence and the acoustic dust waves in dusty plasmas. Additionally, the studied approach could also be employed to obtain exact wave solutions for the other nonlinear evolution equations in applied sciences.http://www.sciencedirect.com/science/article/pii/S1018364720303050Novel generalized (G′G)-expansion methodThe (2+1)-dimensional KP equationThe (2+1)-dimensional KD equationNonlinear partial differential equationExact solutions |
| spellingShingle | Md Nur Alam Cemil Tunç New solitary wave structures to the (2 + 1)-dimensional KD and KP equations with spatio-temporal dispersion Journal of King Saud University: Science Novel generalized (G′G)-expansion method The (2+1)-dimensional KP equation The (2+1)-dimensional KD equation Nonlinear partial differential equation Exact solutions |
| title | New solitary wave structures to the (2 + 1)-dimensional KD and KP equations with spatio-temporal dispersion |
| title_full | New solitary wave structures to the (2 + 1)-dimensional KD and KP equations with spatio-temporal dispersion |
| title_fullStr | New solitary wave structures to the (2 + 1)-dimensional KD and KP equations with spatio-temporal dispersion |
| title_full_unstemmed | New solitary wave structures to the (2 + 1)-dimensional KD and KP equations with spatio-temporal dispersion |
| title_short | New solitary wave structures to the (2 + 1)-dimensional KD and KP equations with spatio-temporal dispersion |
| title_sort | new solitary wave structures to the 2 1 dimensional kd and kp equations with spatio temporal dispersion |
| topic | Novel generalized (G′G)-expansion method The (2+1)-dimensional KP equation The (2+1)-dimensional KD equation Nonlinear partial differential equation Exact solutions |
| url | http://www.sciencedirect.com/science/article/pii/S1018364720303050 |
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