Geodesic
Analytical extension of a solution to Mac-Leod equation
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 6 (2006) no. 2, pp. 67-75

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We prove that solutions to the Mac-leod equation arising in the theory of the Stokes waves have analytical equation to the complex plane with a cut along the positive imaginary semi-axis. 
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     author = {P. I. Plotnikov},
     title = {Analytical extension of a solution to {Mac-Leod} equation},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2006_6_2_a4/}
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P. I. Plotnikov. Analytical extension of a solution to Mac-Leod equation. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 6 (2006) no. 2, pp. 67-75. http://geodesic.mathdoc.fr/item/VNGU_2006_6_2_a4/