L. Zielinski

activity

20072026

most citedSeiberg-Witten theory as a Fermi gas

83 citations · 119 across the 8 of their papers we have counts for

collaborators

Showing nlin.SIShow all

3 papers · 1 filter

nlin.SI2016

The short pulse equation by a Riemann-Hilbert approach

Anne Boutet de Monvel, Dmitry Shepelsky, Lech Zielinski

We develop a Riemann-Hilbert approach to the inverse scattering transform method for the short pulse (SP) equation $u_{x t} = u + \frac{1}{6} (u^{3})_{xx}$ with zero boundary conditions (a…

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…

nlin.SI2014

Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation

Spyridon Kamvissis, Dmitry Shepelsky, Lech Zielinski

We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane $x > 0, t > 0$ in the case of periodic initial data (at $t = 0$ )…