59 citations · 121 across the 15 of their papers we have counts for
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BLP dissipative structures in plane
A. V. Yurov
We study the Darboux and Laplace transformations for the Boiti-Leon-Pempinelli equations (BLP). These equations are the (1+2) generalization of the sinh-Gordon equation. In additio…
A new integrable 3+1 dimensional generalization of the Burgers equation
M. Rudnev, A. V. Yurov, V. A. Yurov
A new nonlinear 3+1 dimensional evolution equation admitting the Lax pair is presented. In the case of one spatial dimension, the equation reduces to the Burgers equation. A method…
Closed dressing chains of D=1 and D=2 Toda lattice
A. V. Yurov
We apply the method of dressing chains to reproduction of Toda lattice in the case of D=1 and D=2. On the example of modified equations and it is shown that combina…
Parasupersymmetric structure of the Boussinesq-type systems
A. V. Yurov
We study Darboux transformations for a Boussinesq-type equations. The parasupersymmetric structure of link between Boussinesq and modified Boussinesq systems is revealed.