(2 + 1)-dimensional Boiti–Leon–Pempinelli equation – Domain walls, invariance properties and conservation laws

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Abstract

We analyze domain wall type solutions, symmetry/invariance properties and conservation laws of the (2+1)-dimensional Boiti–Leon–Pempinelli system which describes the evolution of the horizontal velocity component of water waves propagating in two directions. It turns out that the equation is extensive in these properties. Some domain wall properties are also investigated.

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Wang, G., Vega-Guzman, J., Biswas, A., Kamis Alzahrani, A., & Kara, A. H. (2020). (2 + 1)-dimensional Boiti–Leon–Pempinelli equation – Domain walls, invariance properties and conservation laws. Physics Letters, Section A: General, Atomic and Solid State Physics, 384(10). https://doi.org/10.1016/j.physleta.2020.126255

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