Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation method
The coupled Schrödinger-Korteweg-de Vries equation is a critical system of in nonlinear evolution equations. It describes various processes in dusty plasma, such as Langmuir waves, dust-acoustic waves, and electromagnetic waves. This paper uses the generalized coupled trial equation method to solve...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-05-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S240584402302902X |
| _version_ | 1827937466565263360 |
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| author | Jiaxin Shang Wenhe Li Da Li |
| author_facet | Jiaxin Shang Wenhe Li Da Li |
| author_sort | Jiaxin Shang |
| collection | DOAJ |
| description | The coupled Schrödinger-Korteweg-de Vries equation is a critical system of in nonlinear evolution equations. It describes various processes in dusty plasma, such as Langmuir waves, dust-acoustic waves, and electromagnetic waves. This paper uses the generalized coupled trial equation method to solve the equation. By the complete discrimination system for polynomial, a series of exact traveling wave solutions are obtained, including discontinuous periodic solutions, solitary wave solutions, and Jacobian elliptical function solutions. In addition, to determine the existence of the solutions and understand their properties, we draw three-dimensional images of the modules of the solutions with Mathematica. We obtain more comprehensive and accurate solutions than previous studies, and the results give the system more profound physical significance. |
| first_indexed | 2024-03-13T08:26:02Z |
| format | Article |
| id | doaj.art-af4b8716daa34880828773ec05e42d48 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-13T08:26:02Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-af4b8716daa34880828773ec05e42d482023-05-31T04:45:12ZengElsevierHeliyon2405-84402023-05-0195e15695Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation methodJiaxin Shang0Wenhe Li1Da Li2School of Mathematics and Statistics, Northeast Petroleum University, 99 Xingzhi Street, Daqing, 163318, Heilongjiang Province, ChinaCorresponding author.; School of Mathematics and Statistics, Northeast Petroleum University, 99 Xingzhi Street, Daqing, 163318, Heilongjiang Province, ChinaSchool of Mathematics and Statistics, Northeast Petroleum University, 99 Xingzhi Street, Daqing, 163318, Heilongjiang Province, ChinaThe coupled Schrödinger-Korteweg-de Vries equation is a critical system of in nonlinear evolution equations. It describes various processes in dusty plasma, such as Langmuir waves, dust-acoustic waves, and electromagnetic waves. This paper uses the generalized coupled trial equation method to solve the equation. By the complete discrimination system for polynomial, a series of exact traveling wave solutions are obtained, including discontinuous periodic solutions, solitary wave solutions, and Jacobian elliptical function solutions. In addition, to determine the existence of the solutions and understand their properties, we draw three-dimensional images of the modules of the solutions with Mathematica. We obtain more comprehensive and accurate solutions than previous studies, and the results give the system more profound physical significance.http://www.sciencedirect.com/science/article/pii/S240584402302902XThe coupled Schrödinger-KdV equationThe generalized coupled trial equation methodThe complete discrimination system for polynomialTraveling wave solutions |
| spellingShingle | Jiaxin Shang Wenhe Li Da Li Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation method Heliyon The coupled Schrödinger-KdV equation The generalized coupled trial equation method The complete discrimination system for polynomial Traveling wave solutions |
| title | Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation method |
| title_full | Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation method |
| title_fullStr | Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation method |
| title_full_unstemmed | Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation method |
| title_short | Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation method |
| title_sort | traveling wave solutions of a coupled schrodinger korteweg de vries equation by the generalized coupled trial equation method |
| topic | The coupled Schrödinger-KdV equation The generalized coupled trial equation method The complete discrimination system for polynomial Traveling wave solutions |
| url | http://www.sciencedirect.com/science/article/pii/S240584402302902X |
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