14 citations · 34 across the 6 of their papers we have counts for
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math-ph2010★ 7 cited
2D Schrodinger Operator, (2+1) Systems and New Reductions. The 2D Burgers Hierarchy and Inverse Problem Data
P. Grinevich, A. Mironov, S. Novikov
The Theory of (2+1) Systems based on 2D Schrodinger Operator was started by S.Manakov, B.Dubrovin, I.Krichever and S.Novikov in 1976. The Analog of Lax Pairs introduced by Manakov,…
math-ph2010★ 2 cited
On the Ground Level of Purely Magnetic Algebro-Geometric 2D Pauli Operator (spin 1/2)
P. Grinevich, A. Mironov, S. Novikov
Full manifold of the complex Bloch-Floquet eigenfunctions is investigated for the ground level of the purely magnetic 2D Pauli operators (equal to zero because of supersymmetry). D…
nlin.SI2010★ 9 cited
New Reductions and Nonlinear Systems for 2D Schrodinger Operators
P. Grinevich, A. Mironov, S. Novikov
New Completely Integrable (2+1)-System is studied. It is based on the so-called L-A-B-triples where L is a 2D Schrodinger Operator. This approach was invented by S.M…