Integrable model of a~nonlinear complex scalar field with nontrivial asymptotic behavior of soliton solutions
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 186-194
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The field theory model in two-dimensional space-time with the Lagrangiaa
$$
L=\frac{\vert\partial_{\mu}\psi\vert^2}{1-\lambda^2\vert\psi\vert^2}+m^2(\vert\psi\vert^2-\lambda^{-2})
$$
is studied. It is a completely integrable Hamiltonian system. The explicit form of $N$-soliton solutions with asymptotic behavior $\vert\psi\vert\to\lambda^{-1}$ as $\vert x\vert\to\infty$ is found.
@article{TMF_1979_38_2_a4,
author = {B. S. Getmanov},
title = {Integrable model of a~nonlinear complex scalar field with nontrivial asymptotic behavior of soliton solutions},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {186--194},
publisher = {mathdoc},
volume = {38},
number = {2},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a4/}
}
TY - JOUR AU - B. S. Getmanov TI - Integrable model of a~nonlinear complex scalar field with nontrivial asymptotic behavior of soliton solutions JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1979 SP - 186 EP - 194 VL - 38 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a4/ LA - ru ID - TMF_1979_38_2_a4 ER -
%0 Journal Article %A B. S. Getmanov %T Integrable model of a~nonlinear complex scalar field with nontrivial asymptotic behavior of soliton solutions %J Teoretičeskaâ i matematičeskaâ fizika %D 1979 %P 186-194 %V 38 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a4/ %G ru %F TMF_1979_38_2_a4
B. S. Getmanov. Integrable model of a~nonlinear complex scalar field with nontrivial asymptotic behavior of soliton solutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 186-194. http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a4/