Dmitry Shepelsky

most citedA Riemann-Hilbert Approach for the Novikov Equation

33 citations · 33 across the 1 of their papers we have counts for

collaborators

1 paper

nlin.SI2016★ 33 cited

A Riemann-Hilbert Approach for the Novikov Equation

Anne Boutet de Monvel, Dmitry Shepelsky, Lech Zielinski

We develop the inverse scattering transform method for the Novikov equation $u_{t} - u_{t xx} + 4 u^{2} u_{x} = 3 u u_{x} u_{xx} + u^{2} u_{xxx}$ considered on the line $x \in (- \infty, \infty)$ in the case…