1.
Phys Rev E Stat Nonlin Soft Matter Phys
; 67(6 Pt 2): 067301, 2003 Jun.
Artículo
en Inglés
| MEDLINE
| ID: mdl-16241392
RESUMEN
It is shown that the generalizations to more than one space dimension of the pole decomposition for the Burgers equation with finite viscosity nu and no force are of the form u=-2nu inverted Delta ln P, where the P's are explicitly known algebraic (or trigonometric) polynomials in the space variables with polynomial (or exponential) dependence on time. Such solutions have pole singularities on the complex algebraic varieties.
2.
Phys Rev Lett
; 84(22): 5106-9, 2000 May 29.
Artículo
en Inglés
| MEDLINE
| ID: mdl-10990878
RESUMEN
We establish the equivalence of 2D contour dynamics to the dispersionless limit of the integrable Toda hierarchy constrained by a string equation. Remarkably, the same hierarchy underlies 2D quantum gravity.