Travelling waves and dynamic scaling in a singular interface equation: analytic results

DOI10.1088/0305-4470/30/7/024zbMath0928.35146OpenAlexW1992819646MaRDI QIDQ4248514

Mária Vicsek, Robert Kersner

Publication date: 5 October 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/30/7/024

zbMATH Keywords

self-similar solutionsinterface equationtravelling wave solutionsroughening of interfaces

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Statistical mechanics of polymers (82D60)

Related Items (3)

Scaling properties of a class of interfacial singular equations ⋮ Analytic Traveling-Wave Solutions of the Kardar-Parisi-Zhang Interface Growing Equation with Different Kind of Noise Terms ⋮ ANALYTIC SELF-SIMILAR SOLUTIONS OF THE KARDAR-PARISI-ZHANG INTERFACE GROWING EQUATION WITH VARIOUS NOISE TERMS

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