Minimizing a Dirichlet energy over polycontinua containing anchor set E produces the spectral support for the minimal-intensity fNLS soliton condensate in each connectivity class via quadratic differentials tied to quasimomentum.
Periodic problem for the nonlinear Schroedinger equation
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abstract
The paper offers the method of discovering of some class of solutions for the nonlinear Schroedinger equation. An algorithm of constructive solving of the Cauchy periodic problem with a finite-gap initial condition was also obtained.
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Dirichlet energy and focusing NLS condensates of minimal intensity
Minimizing a Dirichlet energy over polycontinua containing anchor set E produces the spectral support for the minimal-intensity fNLS soliton condensate in each connectivity class via quadratic differentials tied to quasimomentum.