Travelling waves and dynamic scaling in a singular interface equation: analytic results
Robert Kersner; Mária Vicsek; Robert Kersner; Computer and Automation Institute of HAS, Budapest, POB 63, 1518 Hungary; Mária Vicsek; Computer and Automation Institute of HAS, Budapest, POB 63, 1518 Hungary
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1997-04-07
Аннотация:
Analytic results are obtained for Zhang's singular interface equation We examine in detail travelling wave solutions and self-similar solutions of the form . There are solutions with at some points where blows up. For general initial data these solutions seem to play the role of intermediate asymptotics.
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