Existence of Global Solution and Traveling Wave of the Modified Short-Wave Equation
The modified short-wave equation is considered under periodic boundary condition. We prove the global existence of solution with finite energy. We also find traveling wave solutions which is the form of elliptic function.
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/2777265 |
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| _version_ | 1832560045152272384 |
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| author | Hyungjin Huh |
| author_facet | Hyungjin Huh |
| author_sort | Hyungjin Huh |
| collection | DOAJ |
| description | The modified short-wave equation is considered under periodic boundary condition. We prove the global existence of solution with finite energy. We also find traveling wave solutions which is the form of elliptic function. |
| format | Article |
| id | doaj-art-81facb7ab3bc4bd59f836333e3040ffb |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-81facb7ab3bc4bd59f836333e3040ffb2025-02-03T01:28:31ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/27772652777265Existence of Global Solution and Traveling Wave of the Modified Short-Wave EquationHyungjin Huh0Department of Mathematics, Chung-Ang University, Seoul 06974, Republic of KoreaThe modified short-wave equation is considered under periodic boundary condition. We prove the global existence of solution with finite energy. We also find traveling wave solutions which is the form of elliptic function.http://dx.doi.org/10.1155/2021/2777265 |
| spellingShingle | Hyungjin Huh Existence of Global Solution and Traveling Wave of the Modified Short-Wave Equation Advances in Mathematical Physics |
| title | Existence of Global Solution and Traveling Wave of the Modified Short-Wave Equation |
| title_full | Existence of Global Solution and Traveling Wave of the Modified Short-Wave Equation |
| title_fullStr | Existence of Global Solution and Traveling Wave of the Modified Short-Wave Equation |
| title_full_unstemmed | Existence of Global Solution and Traveling Wave of the Modified Short-Wave Equation |
| title_short | Existence of Global Solution and Traveling Wave of the Modified Short-Wave Equation |
| title_sort | existence of global solution and traveling wave of the modified short wave equation |
| url | http://dx.doi.org/10.1155/2021/2777265 |
| work_keys_str_mv | AT hyungjinhuh existenceofglobalsolutionandtravelingwaveofthemodifiedshortwaveequation |