Non-local integrable equations as reductions of the Toda hierarchy

D. Lebedev, A. Orlov, S. Pakuliak, A. Zabrodin

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


We treat the hierarchies of non-local integrable equations like ILWn (generalized intermediate long wave equation) as reductions of the Kadomtsev-Petviashvili (KP) and two-dimensional Toda lattice hierarchies. The explicit form of these reductions is found. We obtain the complete set of Hirota's bilinear equations for the non-local integrable equation and also discuss their N-soliton solutions.

Original languageEnglish
Pages (from-to)166-172
Number of pages7
JournalPhysics Letters A
Issue number2
Publication statusPublished - 11 Nov 1991
Externally publishedYes


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