B. Dubrovin

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19932019

most citedOn Hamiltonian perturbations of hyperbolic systems of conservation laws

42 citations · 70 across the 12 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math-ph2019

Remarks on intersection numbers and integrable hierarchies. I. Quasi-triviality

Boris Dubrovin, Di Yang

Explicit expression for quasi-triviality of scalar non-linear PDE is under consideration.

math-ph2019

Matrix resolvent and the discrete KdV hierarchy

Boris Dubrovin, Di Yang

Based on the matrix-resolvent approach, for an arbitrary solution to the discrete KdV hierarchy, we define the tau-function of the solution, and compare it with another tau-functio…

math-ph2019★ 2 cited

On a class of compact perturbations of the special pole-free joint solution of KdV and $P_{I}^{2} .$

B. Dubrovin, A. Minakov

We consider perturbations of the special pole-free joint solution $U (x, t)$ of the Korteweg--de Vries equation $u_{t} + u u_{x} + \frac{1}{12} u_{xxx} = 0$ and $P_{I}^{2}$ equation $u_{xxxx}+10u_x^…

Remarks on intersection numbers and integrable hierarchies. I. Quasi-triviality

Matrix resolvent and the discrete KdV hierarchy

On a class of compact perturbations of the special pole-free joint solution of KdV and PI2​.

On a class of compact perturbations of the special pole-free joint solution of KdV and $P_{I}^{2} .$