34 citations · 96 across the 19 of their papers we have counts for
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math-ph2008★ 34 cited
Two-dimensional rational solitons and their blow-up via the Moutard transformation
I. A. Taimanov, S. P. Tsarev
By using the Moutard transformation of two-dimensional Schroedinger operators we derive a procedure for constructing explicit examples of such operators with rational fast decaying…
nlin.SI2008★ 7 cited
Second order quasilinear PDEs and conformal structures in projective space
P. A. Burovskiy, E. V. Ferapontov, S. P. Tsarev
We investigate second order quasilinear equations of the form f_{ij} u_{x_ix_j}=0 where u is a function of n independent variables x_1, ..., x_n, and the coefficients f_{ij} are fu…
cs.SC2008★ 7 cited
Factorization in categories of systems of linear partial differential equations
S. P. Tsarev
We start with elementary algebraic theory of factorization of linear ordinary differential equations developed in the period 1880-1930. After exposing these classical results we sk…