Positive and negative integrable lattice hierarchies: conservation laws and \(N\)-fold Darboux transformations (Q2213905)
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| Language | Label | Description | Also known as |
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| English | Positive and negative integrable lattice hierarchies: conservation laws and \(N\)-fold Darboux transformations |
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Positive and negative integrable lattice hierarchies: conservation laws and \(N\)-fold Darboux transformations (English)
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3 December 2020
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In the paper both positive and negative nonlinear integrable lattice hierarchies are derived starting from a discrete matrix spectral. The Hamiltonian structures of the two integrable hierarchies are constructed. An infinite number of conservation laws and multi-dimensional Darboux transformations are derived by using the Lax formalism. To illustrate the evolution and collision of solitary waves some exact solutions and figures are presented.
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integrable lattice hierarchies
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conservation laws
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\( N\)-fold Darboux transformations
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solitary wave
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