Isospectral prosperty of double Darboux transformation
Ohmiya, Mayumi ; Urakubo, Masami
Osaka J. Math., Tome 43 (2006) no. 2, p. 877-893 / Harvested from Project Euclid
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The isospectral property of the algebro-geometric double Darboux transformation is studied by an algebraic method. This is established by verifying that the algebro-geometric double Darboux transformation of the $n$-th algebro-geometric potential solves the evolution equation of the higher order KdV type. Applying these results, the second Darboux-Lamé potential, which can be regarded as the 3-elliptic solitons, is explicitly constructed by an elementary method.
Publié le : 2006-12-14
Classification:  35Q53,  37K35 
@article{1165850040,
     author = {Ohmiya, Mayumi and Urakubo, Masami},
     title = {Isospectral prosperty of double Darboux transformation},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 877-893},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1165850040}
}

Ohmiya, Mayumi; Urakubo, Masami. Isospectral prosperty of double Darboux transformation. Osaka J. Math., Tome 43 (2006) no. 2, pp.  877-893. http://gdmltest.u-ga.fr/item/1165850040/