Spectral stability theory of heteroclinic solutions to the Korteweg-de Vries-Burgers equation with an arbitrary potential

DOI10.1134/S0081543816080083zbMath1368.35235OpenAlexW2581957080MaRDI QIDQ521546

A. P. Chugainova, Andrej Il'ichev

Publication date: 11 April 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543816080083

zbMATH Keywords

travelling waveslinear stabilitygeneralized Korteweg-de Vries-Burgers equationheteroclinic solution

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07)

Related Items (7)

On the instability of monotone traveling-wave solutions for a generalized Korteweg-de Vries-Burgers equation ⋮ 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 ⋮ Analytical description of the structure of special discontinuities described by a generalized KdV-Burgers equation ⋮ Dynamics of front-like water evaporation phase transition interfaces ⋮ Hamiltonian operators in differential algebras ⋮ Shock waves in anisotropic cylinders ⋮ Stability analysis of traveling wave solutions of a generalized Korteweg-de Vries-Burgers equation with variable dissipation parameter

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