Effective integration of ultra-elliptic solutions of the focusing nonlinear Schr\"odinger equation

26 May 2015 Wright O. C. III

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 solutions of the focusing nonlinear Schr\"odinger equation. The two-phase solutions with real quasi-periods are known to form a two-dimensional torus, modulo a circle of complex phase factors, that can be expressed as a ratio of theta functions... (read more)

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  • EXACTLY SOLVABLE AND INTEGRABLE SYSTEMS