Global structure of the general solution of the Chew--Low equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 346-355
Voir la notice de l'article provenant de la source Math-Net.Ru
The Chew–Low equations for static $p$-wave $\pi N$ scattering are considered. The formulation of these equations in the form of a system of three nonlinear
first-order difference equations is used, the general solution of the equations depending on three arbitrary periodic functions. An approach is proposed for the global construction of the general solution; it is based on
an expansion in powers of one of the arbitrary functions $C(w)$, which determines the structure of the invariant curve of the Chew–Low equations. It is shown that in each order in $C(w)$ the original nonlinear problem reduces to a linear problem. By solution of the latter, the general solution of the Chew–Low equations is found up to terms quadratic in $C(w)$.
@article{TMF_1981_48_3_a6,
author = {V. P. Gerdt},
title = {Global structure of the general solution of the {Chew--Low} equations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {346--355},
publisher = {mathdoc},
volume = {48},
number = {3},
year = {1981},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a6/}
}
V. P. Gerdt. Global structure of the general solution of the Chew--Low equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 346-355. http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a6/