Exact traveling wave solutions for the system of the ion sound and Langmuir waves by using three effective methods
This paper gives a study to the system of ion sound and Langmuir waves (SEISLWs). Seven sets of the traveling wave solutions (TWSs) like the bright solitary (Type-1, Type-2, Type-3, Type-4), kinky bright solitary, dark solitary and periodic wave solutions are developed through three effective method...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-04-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722001565 |
| _version_ | 1818315396627824640 |
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| author | Kang-Jia Wang Guo-dong Wang |
| author_facet | Kang-Jia Wang Guo-dong Wang |
| author_sort | Kang-Jia Wang |
| collection | DOAJ |
| description | This paper gives a study to the system of ion sound and Langmuir waves (SEISLWs). Seven sets of the traveling wave solutions (TWSs) like the bright solitary (Type-1, Type-2, Type-3, Type-4), kinky bright solitary, dark solitary and periodic wave solutions are developed through three effective methods, which are simplified extended tanh-function method, He’s frequency formulation and the energy balance theory. The dynamic behaviors of the absolute, real and imaginary parts of the solutions are also plotted via the 3-D contours. The results in this work fully prove that the proposed methods are powerful tools to construct abundant TWS for the PDEs arising in physics. |
| first_indexed | 2024-12-13T09:04:52Z |
| format | Article |
| id | doaj.art-dfbf2ac8486e43e8a4260857c5ebe635 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-13T09:04:52Z |
| publishDate | 2022-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-dfbf2ac8486e43e8a4260857c5ebe6352022-12-21T23:53:05ZengElsevierResults in Physics2211-37972022-04-0135105390Exact traveling wave solutions for the system of the ion sound and Langmuir waves by using three effective methodsKang-Jia Wang0Guo-dong Wang1School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, ChinaCorresponding author.; School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, ChinaThis paper gives a study to the system of ion sound and Langmuir waves (SEISLWs). Seven sets of the traveling wave solutions (TWSs) like the bright solitary (Type-1, Type-2, Type-3, Type-4), kinky bright solitary, dark solitary and periodic wave solutions are developed through three effective methods, which are simplified extended tanh-function method, He’s frequency formulation and the energy balance theory. The dynamic behaviors of the absolute, real and imaginary parts of the solutions are also plotted via the 3-D contours. The results in this work fully prove that the proposed methods are powerful tools to construct abundant TWS for the PDEs arising in physics.http://www.sciencedirect.com/science/article/pii/S2211379722001565Traveling wave solutionsSimplified extended tanh-function methodEnergy balance theoryHe’s frequency formulation |
| spellingShingle | Kang-Jia Wang Guo-dong Wang Exact traveling wave solutions for the system of the ion sound and Langmuir waves by using three effective methods Results in Physics Traveling wave solutions Simplified extended tanh-function method Energy balance theory He’s frequency formulation |
| title | Exact traveling wave solutions for the system of the ion sound and Langmuir waves by using three effective methods |
| title_full | Exact traveling wave solutions for the system of the ion sound and Langmuir waves by using three effective methods |
| title_fullStr | Exact traveling wave solutions for the system of the ion sound and Langmuir waves by using three effective methods |
| title_full_unstemmed | Exact traveling wave solutions for the system of the ion sound and Langmuir waves by using three effective methods |
| title_short | Exact traveling wave solutions for the system of the ion sound and Langmuir waves by using three effective methods |
| title_sort | exact traveling wave solutions for the system of the ion sound and langmuir waves by using three effective methods |
| topic | Traveling wave solutions Simplified extended tanh-function method Energy balance theory He’s frequency formulation |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722001565 |
| work_keys_str_mv | AT kangjiawang exacttravelingwavesolutionsforthesystemoftheionsoundandlangmuirwavesbyusingthreeeffectivemethods AT guodongwang exacttravelingwavesolutionsforthesystemoftheionsoundandlangmuirwavesbyusingthreeeffectivemethods |