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Y. Berest, Yu. Molchanov (1995)
Fundamental solutions for partial differential equations with reflection group invarianceJournal of Mathematical Physics, 36
(2008)
Equilibrium of charges and differential equations solved by polynomials
I. Loutsenko (2002)
Integrable Dynamics of Charges Related to the Bilinear Hypergeometric EquationCommunications in Mathematical Physics, 242
(1992)
The Schwartz function and its generalization to higher dimension
O Chalykh, M Feigin, A Veselov (1998)
New integrable generalizations of Calogero-Moser quantum problemJ. Math. Phys., 39
O. Chalykh (2008)
Algebro-geometric Schrödinger operators in many dimensionsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 366
Y. Berest (1998)
Huygens’ principle and the bispectral problem
M. Olshanetsky, A. Perelomov (1983)
Quantum Integrable Systems Related to Lie AlgebrasPhysics Reports, 94
A. Varchenko, P. Etingof (1992)
Why the boundary of a round drop becomes a curve of order four
Y. Berest (1998)
Hierarchies of Huygens' Operators and Hadamard's ConjectureActa Applicandae Mathematica, 53
O. Chalykh, M. Feigin (1998)
Veselov New integrable generalizations of Calogero-Moser quantum problem
J. Burchnall, T. Chaundy
A Set of Differential Equations which can be Solved by PolynomialsProceedings of The London Mathematical Society
Y. Berest, I. Loutsenko (1997)
Huygens' Principle in Minkowski Spaces and Soliton Solutions of the Korteweg–de Vries EquationCommunications in Mathematical Physics, 190
V. Entov, P. Etingof (1991)
BUBBLE CONTRACTION IN HELE-SHAW CELLSQuarterly Journal of Mechanics and Applied Mathematics, 44
I. Loutsenko (2005)
The Variable Coefficient Hele-Shaw Problem, Integrability and Quadrature IdentitiesCommunications in Mathematical Physics, 268
M. Adler, J. Moser (1978)
On a class of polynomials connected with the Korteweg-deVries equationCommunications in Mathematical Physics, 61
S. Richardson (1972)
Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channelJournal of Fluid Mechanics, 56
O. Chalykh, Misha Feigin, A. Veselov (1999)
Multidimensional Baker–Akhiezer Functions and Huygens' PrincipleCommunications in Mathematical Physics, 206
A. Bartman (1984)
A New Interpretation of the Adler-Moser KdV Polynomials: Interaction of Vortices
Y. Berest (1997)
Solution of a restricted Hadamard problem on Minkowski spacesCommunications on Pure and Applied Mathematics, 50
Rational quantum algebraically integrable systems are non-trivial generalizations of Laplacian operators to the case of elliptic operators with variable coefficients. We study corresponding extensions of Laplacian growth connected with algebraically integrable systems, describing viscous free-boundary flows in non-homogenous media. We introduce a class of planar flows related with application of Adler-Moser polynomials and construct solutions for higher-dimensional cases, where the conformal mapping technique is unavailable.
Analysis and Mathematical Physics – Springer Journals
Published: May 26, 2013
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