Constructions of new abundant traveling wave solutions for system of the ion sound and Langmuir waves by the variational direct method
In this paper, a novel and simple approach called the variational direct method (VDM) is applied to construct the exact traveling wave solutions of the system of ion sound and Langmuir waves (SEISLWs), which is under the influence of the ponderomotive force caused by a nonlinear force experienced by...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-07-01
|
| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721005003 |
| _version_ | 1818825264714481664 |
|---|---|
| author | Kang-Jia Wang Hong-Wei Zhu Xiao-Lian Liu Guo-Dong Wang |
| author_facet | Kang-Jia Wang Hong-Wei Zhu Xiao-Lian Liu Guo-Dong Wang |
| author_sort | Kang-Jia Wang |
| collection | DOAJ |
| description | In this paper, a novel and simple approach called the variational direct method (VDM) is applied to construct the exact traveling wave solutions of the system of ion sound and Langmuir waves (SEISLWs), which is under the influence of the ponderomotive force caused by a nonlinear force experienced by a charged particle in an inhomogeneous oscillating electromagnetic field due to high-frequency field. These exact solutions include the bright soliton, bright-like soliton, kinky-bright soliton, bright-dark soliton and periodic wave solutions, which are all presented through the numerical results in the form of 3-D plots. Obtained results show that the VDM is simple, straightforward and powerful, which is expected to open new perspectives for the traveling wave theory. |
| first_indexed | 2024-12-19T00:09:00Z |
| format | Article |
| id | doaj.art-393072106c734cfb96ae0b1df0da8c97 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-19T00:09:00Z |
| publishDate | 2021-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-393072106c734cfb96ae0b1df0da8c972022-12-21T20:46:04ZengElsevierResults in Physics2211-37972021-07-0126104375Constructions of new abundant traveling wave solutions for system of the ion sound and Langmuir waves by the variational direct methodKang-Jia Wang0Hong-Wei Zhu1Xiao-Lian Liu2Guo-Dong Wang3School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, ChinaSchool of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, ChinaSchool 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, ChinaIn this paper, a novel and simple approach called the variational direct method (VDM) is applied to construct the exact traveling wave solutions of the system of ion sound and Langmuir waves (SEISLWs), which is under the influence of the ponderomotive force caused by a nonlinear force experienced by a charged particle in an inhomogeneous oscillating electromagnetic field due to high-frequency field. These exact solutions include the bright soliton, bright-like soliton, kinky-bright soliton, bright-dark soliton and periodic wave solutions, which are all presented through the numerical results in the form of 3-D plots. Obtained results show that the VDM is simple, straightforward and powerful, which is expected to open new perspectives for the traveling wave theory.http://www.sciencedirect.com/science/article/pii/S2211379721005003Traveling wave solutionsSemi-inverse methodVariational principleVariational direct method |
| spellingShingle | Kang-Jia Wang Hong-Wei Zhu Xiao-Lian Liu Guo-Dong Wang Constructions of new abundant traveling wave solutions for system of the ion sound and Langmuir waves by the variational direct method Results in Physics Traveling wave solutions Semi-inverse method Variational principle Variational direct method |
| title | Constructions of new abundant traveling wave solutions for system of the ion sound and Langmuir waves by the variational direct method |
| title_full | Constructions of new abundant traveling wave solutions for system of the ion sound and Langmuir waves by the variational direct method |
| title_fullStr | Constructions of new abundant traveling wave solutions for system of the ion sound and Langmuir waves by the variational direct method |
| title_full_unstemmed | Constructions of new abundant traveling wave solutions for system of the ion sound and Langmuir waves by the variational direct method |
| title_short | Constructions of new abundant traveling wave solutions for system of the ion sound and Langmuir waves by the variational direct method |
| title_sort | constructions of new abundant traveling wave solutions for system of the ion sound and langmuir waves by the variational direct method |
| topic | Traveling wave solutions Semi-inverse method Variational principle Variational direct method |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721005003 |
| work_keys_str_mv | AT kangjiawang constructionsofnewabundanttravelingwavesolutionsforsystemoftheionsoundandlangmuirwavesbythevariationaldirectmethod AT hongweizhu constructionsofnewabundanttravelingwavesolutionsforsystemoftheionsoundandlangmuirwavesbythevariationaldirectmethod AT xiaolianliu constructionsofnewabundanttravelingwavesolutionsforsystemoftheionsoundandlangmuirwavesbythevariationaldirectmethod AT guodongwang constructionsofnewabundanttravelingwavesolutionsforsystemoftheionsoundandlangmuirwavesbythevariationaldirectmethod |