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nlin.SI2026
Maximal Densities of Finite-Gap Solutions of the Sine-Gordon Equation
Otis C. Wright
We establish a sharp upper bound on the densities of finite-gap solutions of the sine-Gordon equation. The bound is derived directly from the finite-dimensional hierarchy, without…
nlin.SI2026
Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation
Otis C. Wright
A direct proof based on commuting finite-dimensional flows and local polynomial invariants is given for a sharp upper bound on the amplitudes of finite-gap solutions of the modifie…
nlin.SI2015★ 1 cited
Effective integration of ultra-elliptic solutions of the focusing nonlinear Schrödinger equation
O. C. Wright
An effective integration method based on the classical solution to the Jacobi inversion problem, using Kleinian ultra-elliptic functions, is presented for quasi-periodic two-phase…