Title :
New rational solutions of Veselov-Novikov equation and new exact rational potentials of two-dimensional stationary Schrodinger equation via ∂~-dressing method
Author :
Dubrovsky, V.G. ; Formusatik, J.B.
Author_Institution :
NSTU, Novosibirsk, Russia
fDate :
26 June-2 July 2005
Abstract :
The examples of new recently via Zakharov-Manakov ∂~-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.
Keywords :
Schrodinger equation; nonlinear differential equations; partial differential equations; wave functions; 2D stationary Schrodinger equation; Veselov-Novikov equation; Veselov-Novikov nonlinear equation; Zakharov-Manakov dressing method; multiple pole; rational potentials; rational solutions; wave functions; Books; Differential equations; Humans; Integral equations; Multidimensional systems; Nonlinear equations; Physics; Schrodinger equation; Transforms; Wave functions;
Conference_Titel :
Science and Technology, 2005. KORUS 2005. Proceedings. The 9th Russian-Korean International Symposium on
Print_ISBN :
0-7803-8943-3
DOI :
10.1109/KORUS.2005.1507665
