New Classes of Toda Soliton Solutions
نویسنده
چکیده
We provide a detailed investigation of limits of N {soliton solutions of the Toda lattice as N tends to innnity. Our principal results yield new classes of Toda solutions including, in particular, new kinds of soliton{like (i.e., reeectionless) solutions. As a byproduct we solve an inverse spectral problem for one{dimensional Jacobi operators and explicitly construct tri{ diagonal matrices that yield a purely absolutely continuous spectrum in (?1; 1) and give rise to an eigenvalue spectrum that includes any prescribed countable and bounded subset of Rn?1; 1].
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تاریخ انتشار 2007