Periodic boundary conditions for KdV-Burgers equation on an interval

DOI10.1016/J.GEOMPHYS.2016.07.006zbMath1358.35160OpenAlexW2502897188MaRDI QIDQ508079

Alexey V. Samokhin

Publication date: 9 February 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.07.006

zbMATH Keywords

asymptoticsinitial value-boundary problemKortveg-de Vries-Burgers equationperiodical perturbation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Shock waves and blast waves in fluid mechanics (76L05) Perturbations in context of PDEs (35B20)

Related Items (4)

On nonlinear superposition of the KdV-Burgers shock waves and the behavior of solitons in a layered medium ⋮ Boundary value problem for the KdV-Burgers equation in a quarter plane ⋮ On connection between the splitting parameters of KdV initial datum and its conserved quantities ⋮ Stability analysis of traveling wave solutions of a generalized Korteweg-de Vries-Burgers equation with variable dissipation parameter

Cites Work

• Unnamed Item
• On Hamiltonian perturbations of hyperbolic systems of conservation laws. II: Universality of critical behaviour
• On the critical behavior in nonlinear evolutionary PDEs with small viscosity
• On nonlinear superposition of the KdV-Burgers shock waves and the behavior of solitons in a layered medium
• The Burgers equation with periodic boundary conditions on an interval
• Stability of discontinuity structures described by a generalized KdV-Burgers equation

This page was built for publication: Periodic boundary conditions for KdV-Burgers equation on an interval