Integration of the Toda lattice with an integral-type source
Alberto CabadaDepartment of Mathematical Analysis, University of Santiago de Compostela, 15782 Santiago de Compostela, SpainG. U. UrazboevDepartment of Mathematics, Urgench State University, 14 Kh. Alimdjan, 220100, Urgench, Uzbekistan
ABI
Аннотация
In this paper, it is shown that the solutions of the Toda lattice in Flaschka's form with a self-consistent integral-type source can be found by the inverse scattering problem for the discrete Sturm–Liouville operator. Moreover, the conditions are obtained under which the Toda lattice with an integral-type source has pure soliton solutions. The results can be used in modeling special types of electric transmission lines.
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