Transcritical flow of a stratified fluid over topography: analysis of the forced Gardner equation
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Publication:2878561
DOI10.1017/jfm.2013.556zbMath1294.76079arXiv1305.3316OpenAlexW2144439128MaRDI QIDQ2878561
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Publication date: 29 August 2014
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.3316
Hydrology, hydrography, oceanography (86A05) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Internal waves for incompressible inviscid fluids (76B55) Stratification effects in inviscid fluids (76B70)
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Extended shallow water wave equations ⋮ A quartic trigonometric tension B‐spline finite element method for solving Gardner equation ⋮ The large-time asymptotic solution of the mKdV equation ⋮ Dispersive and Diffusive-Dispersive Shock Waves for Nonconvex Conservation Laws ⋮ Study of the Gardner equation with homogeneous boundary conditions via fourth order modified cubic B-Spline collocation method ⋮ Dynamic soliton–mean flow interaction with non-convex flux ⋮ Dispersive shock waves and modulation theory ⋮ Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background ⋮ Exponential B-spline collocation solutions to the Gardner equation
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