Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equation
For a generalized KdV-Burgers-Kuramoto equation we have studied conservation laws by using the multiplier method, and investigated its first-level and second-level potential systems. Furthermore, the Lie point symmetries of the equation and the Lie point symmetries associated with the conserved vect...
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| Language: | English |
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De Gruyter
2017-06-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2017-0048 |
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doaj-8c423ae7fdc64a3eb7bce9a317f606ca2021-09-05T13:59:34ZengDe GruyterOpen Physics2391-54712017-06-0115143343910.1515/phys-2017-0048phys-2017-0048Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equationBruzón Maria S.0Recio Elena1Garrido Tamara M.2Márquez Almudena P.3University of Cádiz, Cádiz, SpainUniversity of Cádiz, Cádiz, SpainUniversity of Cádiz, Cádiz, SpainUniversity of Cádiz, Cádiz, SpainFor a generalized KdV-Burgers-Kuramoto equation we have studied conservation laws by using the multiplier method, and investigated its first-level and second-level potential systems. Furthermore, the Lie point symmetries of the equation and the Lie point symmetries associated with the conserved vectors are determined. We obtain travelling wave reductions depending on the form of an arbitrary function. We present some explicit solutions: soliton solutions, kinks and antikinks.https://doi.org/10.1515/phys-2017-0048generalized kdv-burgers-kuramotolie symmetriesmultiplierspotential symmetriestravelling wave solutions02.30.jr02.20.sv |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Bruzón Maria S. Recio Elena Garrido Tamara M. Márquez Almudena P. |
| spellingShingle |
Bruzón Maria S. Recio Elena Garrido Tamara M. Márquez Almudena P. Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equation Open Physics generalized kdv-burgers-kuramoto lie symmetries multipliers potential symmetries travelling wave solutions 02.30.jr 02.20.sv |
| author_facet |
Bruzón Maria S. Recio Elena Garrido Tamara M. Márquez Almudena P. |
| author_sort |
Bruzón Maria S. |
| title |
Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equation |
| title_short |
Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equation |
| title_full |
Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equation |
| title_fullStr |
Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equation |
| title_full_unstemmed |
Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equation |
| title_sort |
conservation laws, classical symmetries and exact solutions of the generalized kdv-burgers-kuramoto equation |
| publisher |
De Gruyter |
| series |
Open Physics |
| issn |
2391-5471 |
| publishDate |
2017-06-01 |
| description |
For a generalized KdV-Burgers-Kuramoto equation we have studied conservation laws by using the multiplier method, and investigated its first-level and second-level potential systems. Furthermore, the Lie point symmetries of the equation and the Lie point symmetries associated with the conserved vectors are determined. We obtain travelling wave reductions depending on the form of an arbitrary function. We present some explicit solutions: soliton solutions, kinks and antikinks. |
| topic |
generalized kdv-burgers-kuramoto lie symmetries multipliers potential symmetries travelling wave solutions 02.30.jr 02.20.sv |
| url |
https://doi.org/10.1515/phys-2017-0048 |
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