Nonlinearity Journal

Overview

publication venue for

• Two-dimensional reductions of the Whitham modulation system for the Kadomtsev-Petviashvili equation 2024
• Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner 2022
• Oblique interactions between solitons and mean flows in the Kadomtsev-Petviashvili equation 2021
• Integrability, exact reductions and special solutions of the KP-Whitham equations 2020
• Discontinuous shock solutions of the Whitham modulation equations as zero dispersion limits of traveling waves 2020
Discrete nonlocal nonlinear Schrodinger systems: Integrability, inverse scattering and solitons 2020
Accelerator modes and anomalous diffusion in 3D volume-preserving maps 2018
General soliton solution to a nonlocal nonlinear Schrodinger equation with zero and nonzero boundary conditions 2018
Inverse scattering transform for the integrable nonlocal nonlinear Schrodinger equation 2016
Bounds on heat transport in rapidly rotating Rayleigh-Benard convection 2015
Endpoint bilinear estimates and applications to the two-dimensional Poisson-Nernst-Planck system 2013
Symmetry reduction by lifting for maps 2012
Local and global well-posedness for aggregation equations and Patlak-Keller-Segel models with degenerate diffusion 2011
Resonance near border-collision bifurcations in piecewise-smooth, continuous maps 2010
Resonance zones and lobe volumes for exact volume-preserving maps 2009
Shrinking point bifurcations of resonance tongues for piecewise-smooth, continuous maps 2009
Canonical Melnikov theory for diffeomorphisms 2008
On the initial value problem for the KPII equation with data that do not decay along a line 2004
Reversors and symmetries for polynomial automorphisms of the complex plane 2004
Heteroclinic intersections between invariant circles of volume-preserving maps 2003
On the extension of the Painleve property to difference equations 2000
On a Burgers-Stefan problem 2000
Generic twistless bifurcations 2000
Computing connectedness: An exercise in computational topology 1998
Quadratic volume-preserving maps 1998
On a 2+1 Volterra system 1996
PARAMETRIC FORCING, BOUND-STATES AND SOLUTIONS OF A NONLINEAR SCHRODINGER TYPE EQUATION 1994
CANTORI FOR SYMPLECTIC MAPS NEAR THE ANTI-INTEGRABLE LIMIT 1992
Converse KAM theory for symplectic twist maps 1989
Flux, resonances and the devil's staircase for the sawtooth map 1989
... more

Research

keywords

• 0102 Applied Mathematics