Geodesic
Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil
Serdica Mathematical Journal, Tome 24 (1998) no. 3-4, pp. 225-256.

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Dubrovin type equations for the N -gap solution of a completely integrable system associated with a polynomial pencil is constructed and then integrated to a system of functional equations. The approach used to derive those results is a generalization of the familiar process of finding the 1-soliton (1-gap) solution by integrating the ODE obtained from the soliton equation via the substitution u = u(x + λt).
Keywords: N -Soliton Solution, N-Gap Solution, KDV, Polynomial Pencil 
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     author = {Yordanov, Russi},
     title = {Dubrovin {Type} {Equations} for {Completely} {Integrable} {Systems} {Associated} with a {Polynomial} {Pencil}},
     journal = {Serdica Mathematical Journal},
     pages = {225--256},
     publisher = {mathdoc},
     volume = {24},
     number = {3-4},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_1998_24_3-4_a1/}
}
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Yordanov, Russi. Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil. Serdica Mathematical Journal, Tome 24 (1998) no. 3-4, pp. 225-256. http://geodesic.mathdoc.fr/item/SMJ2_1998_24_3-4_a1/