New conservation laws of the Boussinesq and generalized Kadomtsev–Petviashvili equations via homotopy operator
According to the tools of linear algebra and calculus of variations, the conservation laws of Boussinesq and generalized Kadomtsev–Petviashvili (gKP) equations are investigated using multipliers and scaling methods. Using the Euler–Lagrange operator, the determining equations are calculated to find...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-04-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723001626 |
| _version_ | 1827972699768487936 |
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| author | Mehdi Jafari Somayesadat Mahdion Ali Akgül Sayed M. Eldin |
| author_facet | Mehdi Jafari Somayesadat Mahdion Ali Akgül Sayed M. Eldin |
| author_sort | Mehdi Jafari |
| collection | DOAJ |
| description | According to the tools of linear algebra and calculus of variations, the conservation laws of Boussinesq and generalized Kadomtsev–Petviashvili (gKP) equations are investigated using multipliers and scaling methods. Using the Euler–Lagrange operator, the determining equations are calculated to find the multipliers of Boussinesq equation and the actual density of gKP equation. Then, the flux and density pairs of Boussinesq equation and the corresponding flux of gKP equation are obtained through 2-dimensional homotopy operator. |
| first_indexed | 2024-04-09T19:25:33Z |
| format | Article |
| id | doaj.art-66e6ffd8633a4ce6aa71f1ef9fd956ce |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-09T19:25:33Z |
| publishDate | 2023-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-66e6ffd8633a4ce6aa71f1ef9fd956ce2023-04-05T08:13:29ZengElsevierResults in Physics2211-37972023-04-0147106369New conservation laws of the Boussinesq and generalized Kadomtsev–Petviashvili equations via homotopy operatorMehdi Jafari0Somayesadat Mahdion1Ali Akgül2Sayed M. Eldin3Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, IranDepartment of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, IranDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey; Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia/Mersin 10, Turkey; Corresponding author.Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, EgyptAccording to the tools of linear algebra and calculus of variations, the conservation laws of Boussinesq and generalized Kadomtsev–Petviashvili (gKP) equations are investigated using multipliers and scaling methods. Using the Euler–Lagrange operator, the determining equations are calculated to find the multipliers of Boussinesq equation and the actual density of gKP equation. Then, the flux and density pairs of Boussinesq equation and the corresponding flux of gKP equation are obtained through 2-dimensional homotopy operator.http://www.sciencedirect.com/science/article/pii/S2211379723001626Boussinesq equationgKP equationConversation lawsMultiplier methodScaling method |
| spellingShingle | Mehdi Jafari Somayesadat Mahdion Ali Akgül Sayed M. Eldin New conservation laws of the Boussinesq and generalized Kadomtsev–Petviashvili equations via homotopy operator Results in Physics Boussinesq equation gKP equation Conversation laws Multiplier method Scaling method |
| title | New conservation laws of the Boussinesq and generalized Kadomtsev–Petviashvili equations via homotopy operator |
| title_full | New conservation laws of the Boussinesq and generalized Kadomtsev–Petviashvili equations via homotopy operator |
| title_fullStr | New conservation laws of the Boussinesq and generalized Kadomtsev–Petviashvili equations via homotopy operator |
| title_full_unstemmed | New conservation laws of the Boussinesq and generalized Kadomtsev–Petviashvili equations via homotopy operator |
| title_short | New conservation laws of the Boussinesq and generalized Kadomtsev–Petviashvili equations via homotopy operator |
| title_sort | new conservation laws of the boussinesq and generalized kadomtsev petviashvili equations via homotopy operator |
| topic | Boussinesq equation gKP equation Conversation laws Multiplier method Scaling method |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723001626 |
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