Evolution of initial discontinuities in the Riemann problem for the Kaup-Boussinesq equation with positive dispersion
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Publication:4644275
DOI10.1063/1.4997052zbMath1390.35263arXiv1707.05980OpenAlexW3104488352WikidataQ47704522 ScholiaQ47704522MaRDI QIDQ4644275
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Publication date: 30 May 2018
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.05980
Related Items (11)
Linear stability of exact solutions for the generalized Kaup-Boussinesq equation and their dynamical evolutions ⋮ Formation of the undular bores in shallow water generalized Kaup-Boussinesq model ⋮ Evolution of initial discontinuities in the Riemann problem for the Jaulent-Miodek equation with positive dispersion ⋮ Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and \(M\) solitons ⋮ Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory ⋮ Thinking about the oceanic shallow water via a generalized Whitham-Broer-Kaup-Boussinesq-Kupershmidt system ⋮ Complete classification of solutions to the Riemann initial value problem for the Hirota equation with weak dispersion term ⋮ Evolution of initial discontinuities in a particular case of two-step initial problem for the defocusing complex modified KdV equation ⋮ Conservation laws and exact solutions of generalized nonlinear system and Nizhink-Novikov-Veselov equation ⋮ Dynamic soliton–mean flow interaction with non-convex flux ⋮ Bifurcations and Exact Solutions of Generalized Two-Component Peakon Type Dual Systems
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