Moutard transformation and its application to some physical problems.~I. The case of two independent variables
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 22, Tome 398 (2012), pp. 100-124
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A general scheme of application of Moutard transformation to the partial differential of the second order with two independent variables is proposed. The realization of this scheme is given for the nonstationary Shrödinger equation and Fokker–Planck equation as well as wave equation and Helmholts equation.
@article{ZNSL_2012_398_a5,
author = {E. Sh. Gutshabash},
title = {Moutard transformation and its application to some physical {problems.~I.} {The} case of two independent variables},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {100--124},
publisher = {mathdoc},
volume = {398},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a5/}
}
TY - JOUR AU - E. Sh. Gutshabash TI - Moutard transformation and its application to some physical problems.~I. The case of two independent variables JO - Zapiski Nauchnykh Seminarov POMI PY - 2012 SP - 100 EP - 124 VL - 398 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a5/ LA - ru ID - ZNSL_2012_398_a5 ER -
%0 Journal Article %A E. Sh. Gutshabash %T Moutard transformation and its application to some physical problems.~I. The case of two independent variables %J Zapiski Nauchnykh Seminarov POMI %D 2012 %P 100-124 %V 398 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a5/ %G ru %F ZNSL_2012_398_a5
E. Sh. Gutshabash. Moutard transformation and its application to some physical problems.~I. The case of two independent variables. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 22, Tome 398 (2012), pp. 100-124. http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a5/