302 citations · 1k across the 44 of their papers we have counts for
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nlin.SI2008
Continuous and discontinuous piecewise linear solutions of the linearly forced inviscid Burgers equation
Hans Lundmark, Jacek Szmigielski
We study a class of piecewise linear solutions to the inviscid Burgers equation driven by a linear forcing term. Inspired by the analogy with peakons, we think of these solutions a…
math-ph2008★ 78 cited
The Cauchy two-matrix model
M. Bertola, M. Gekhtman, J. Szmigielski
We introduce a new class of two(multi)-matrix models of positive Hermitean matrices coupled in a chain; the coupling is related to the Cauchy kernel and differs from the exponentia…