104 citations · 1.1k across the 62 of their papers we have counts for
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General soliton matrices in the Riemann-Hilbert problem for integrable nonlinear equations
V. S. Shchesnovich, J. Yang
We derive the soliton matrices corresponding to an arbitrary number of higher-order normal zeros for the matrix Riemann-Hilbert problem of arbitrary matrix dimension, thus giving t…
Higher-order solitons in the N-wave system
Valery S. Shchesnovich, Jianke Yang
The soliton dressing matrices for the higher-order zeros of the Riemann-Hilbert problem for the -wave system are considered. For the elementary higher-order zero, i.e. whose alg…
Noncoaxial multivortices in the complex sine-Gordon theory on the plane
I. V. Barashenkov, V. S. Shchesnovich, R. Adams
We construct explicit multivortex solutions for the complex sine-Gordon equation (the Lund-Regge model) in two Euclidean dimensions. Unlike the previously found (coaxial) multivort…
Perturbation theory for nearly integrable multi-component nonlinear PDEs
V. S. Shchesnovich
The Riemann-Hilbert problem associated with the integrable PDE is used as a nonlinear transformation of the nearly integrable PDE to the spectral space. The temporal evolution of t…
Interaction of N solitons in the massive Thirring model and optical gap system: the Complex Toda Chain Model
V. S. Shchesnovich
Using the Karpman-Solov''ev quasiparticle approach for soliton-soliton interaction I show that the train propagation of N well separated solitons of the massive Thirring model is d…