On the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics
In this article, we study two-dimensional generalized breaking soliton equation, which describes two-dimensional interchange of Riemann wave disseminating alongside y-axis with a long wave disseminating alongside x-axis. We derive Lie symmetry generators of this nonlinear partial differential equati...
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| Autores principales: | , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
Elsevier
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/9a4f643a0e204373847bdaf4605685d6 |
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| Sumario: | In this article, we study two-dimensional generalized breaking soliton equation, which describes two-dimensional interchange of Riemann wave disseminating alongside y-axis with a long wave disseminating alongside x-axis. We derive Lie symmetry generators of this nonlinear partial differential equation and then utilize them to perform symmetry reductions. Travelling wave variables are used to obtain most general closed-form solutions of this equation by using two procedures. In addition, we compute the conserved vectors of this equation by engaging the classical Noether’s theorem. |
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