Mach Reflection and Expansion of Two-Dimensional Dispersive Shock Waves.
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DOI: 10.1103/cdvf-xnfw
Abstract: The oblique collisions and dynamical interference patterns of two-dimensional dispersive shock waves are studied numerically and analytically via the temporal dynamics induced by wedge-shaped initial conditions for the Kadomtsev-Petviashvili II equation. Various asymptotic wave patterns… read more here.
Keywords: two dimensional; dispersive shock; shock waves; dimensional dispersive ... See more keywords
Classical Lie symmetries and similarity reductions of the (2 + 1)-dimensional dispersive long wave system
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DOI: 10.1142/s1793557121500522
Abstract: In the present work, classical Lie symmetry method is adopted to obtain the Lie symmetries and similarity reductions of the (2 + 1)-dimensional dispersive long wave equation. We also demonstrate th... read more here.
Keywords: reductions dimensional; dimensional dispersive; lie symmetries; classical lie ... See more keywords