Jumps in models described by generalized Korteweg-de Vries equations

zbMath1005.76010MaRDI QIDQ1580128

I. B. Bakholdin

Publication date: 27 February 2003

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

jumpsconservation lawsBurgers equationaveraged equationsdissipative modelsgeneralized Korteweg-de Vries equationsperiodic statesnondissipative models

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Related Items (10)

Numerical study of solitary waves and reversible shock structures in tubes with controlled pressure ⋮ Time-invariant and time-varying discontinuity structures for models described by the generalized Korteweg-Burgers equation ⋮ Problem of breakdown of solitary waves and discontinuities ⋮ Structures of classical and special discontinuities for the generalized Korteweg-de Vries-Burgers equation in the case of a flux function with four inflection points ⋮ Unnamed Item ⋮ Hydraulic jump structures in the presence of an ice sheet ⋮ Unnamed Item ⋮ Theory and classification of the reversible structures of discontinuities in hydrodynamic-type models ⋮ Application of the theory of reversible discontinuities to the investigation of equations describing waves in tubes with elastic walls ⋮ Stability analysis of traveling wave solutions of a generalized Korteweg-de Vries-Burgers equation with variable dissipation parameter

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