Journal of Nonlinear Mathematical Physics

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Volume 8, Issue Supplement, February 2001, Pages 212 - 218

Whitham­Toda Hierarchy in the Laplacian Growth Problem

Authors
M. Mineev-Weinstein, A. Zabrodin
Corresponding Author
M. Mineev-Weinstein
Available Online 1 February 2001.
DOI
10.2991/jnmp.2001.8.s.37How to use a DOI?
Abstract

The Laplacian growth problem in the limit of zero surface tension is proved to be equivalent to finding a particular solution to the dispersionless Toda lattice hierarchy. The hierarchical times are harmonic moments of the growing domain. The Laplacian growth equation itself is the quasiclassical version of the string equation that selects the solution to the hierarchy.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - Supplement
Pages
212 - 218
Publication Date
2001/02/01
ISBN
91-631-0262-5
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.s.37How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - M. Mineev-Weinstein
AU  - A. Zabrodin
PY  - 2001
DA  - 2001/02/01
TI  - Whitham­Toda Hierarchy in the Laplacian Growth Problem
JO  - Journal of Nonlinear Mathematical Physics
SP  - 212
EP  - 218
VL  - 8
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.s.37
DO  - 10.2991/jnmp.2001.8.s.37
ID  - Mineev-Weinstein2001
ER  -