Geodesic
Global structure of the general solution of the Chew–Low equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 346-355 
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/
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     author = {V. P. Gerdt},
     title = {Global structure of the general solution of the {Chew{\textendash}Low} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {346--355},
     year = {1981},
     volume = {48},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a6/}
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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 $C(w)$.

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