New rational solutions of Veselov-Novikov equation and new exact rational potentials of two-dimensional stationary Schrodinger equation via &amp;#x2202;/sup ~/-dressing method

V.G Dubrovsky,I.B Formusatik

doi:10.1109/korus.2005.1507665

New rational solutions of Veselov-Novikov equation and new exact rational potentials of two-dimensional stationary Schrodinger equation via &#x2202;/sup ~/-dressing method

V.G Dubrovsky, I.B Formusatik

https://doi.org/10.1109/korus.2005.1507665

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Publication Date: Sep 26, 2005

Affiliation: Novosibirsk State Technical University

#Two-dimensional Schrodinger Equation #Stationary Schrodinger Equation + Show 8 more

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Abstract

The examples of new recently via Zakharov-Manakov /spl part/~-dressing method calculated lumps of Veselov-Novikov (VN) nonlinear equation and new exact rational potentials of two-dimensional stationary Schrodinger (2DSchr) equation with multiple pole of order two wave functions are presented. Among the constructed rational solutions are as nonsingular and also singular.

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