Reflection and refraction of solitons by the KdV-Burgers equation in nonhomogeneous dissipative media

DOI10.1134/S0040577918100094zbMath1408.35167OpenAlexW2899529298WikidataQ128973003 ScholiaQ128973003MaRDI QIDQ1716186

Alexey V. Samokhin

Publication date: 4 February 2019

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577918100094

zbMATH Keywords

reflectionsolitonrefractionKdV-Burgers equationnonhomogeneous layered media

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (6)

Global stability of traveling wave solutions of generalized Korteveg-de Vries-Burgers equation with non-constant dissipation parameter ⋮ 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 ⋮ On connection between the splitting parameters of KdV initial datum and its conserved quantities ⋮ The KdV soliton crosses a dissipative and dispersive border ⋮ Stability analysis of traveling wave solutions of a generalized Korteweg-de Vries-Burgers equation with variable dissipation parameter ⋮ Soliton transmutations in KdV-Burgers layered media

Cites Work

• Oscillatory instability of traveling waves for a KdV-Burgers equation
• Stability of nonstationary solutions of the generalized KdV-Burgers equation
• On nonlinear superposition of the KdV-Burgers shock waves and the behavior of solitons in a layered medium

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