1 citations · 1 across the 3 of their papers we have counts for
3 papers
nlin.SI2008★ 1 cited
Differential transformations of parabolic second-order operators in the plane
S. P. Tsarev, E. Shemyakova
Here, Darboux's classical results about transformations with differential substitutions for hyperbolic equations are extended to the case of parabolic equations of the form $L u =…
cs.SC1998
Factorization of linear partial differential operators and Darboux integrability of nonlinear PDEs
Serguei P. Tsarev
Using a new definition of generalized divisors we prove that the lattice of such divisors for a given linear partial differential operator is modular and obtain analogues of the we…
hep-th1993
Classical differential geometry and integrability of systems of hydrodynamic type
S. P. Tsarev
Remarkable parallelism between the theory of integrable systems of first-order quasilinear PDE and some old results in projective and affine differential geometry of conjugate nets…