DOAJ Open Access 2023

Lotka–Volterra lattice system: N-fold Darboux transformation, the corresponding integrable lattice family and bi-Hamiltonian structure

Rong-Wu Lu Xi-Xiang Xu

Abstrak

An one-fold Darboux transformation for the Lotka–Volterra lattice system is first established using a proper gauge transformation matrix. Then, as a result of the N times one-fold Darboux transformation, the corresponding N-fold Darboux transformation of the Lotka–Volterra lattice system is presented, and two exact solution are obtained by the resulting Darboux transformation. Hereafter, its the corresponding iso-spectral integrable lattice family is derived. Using the trace identity, bi-Hamiltonian structure of the Lotka–Volterra integrable family is established, and its Liouville integrability is proven.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (2)

Rong-Wu Lu

Xi-Xiang Xu

Format Sitasi

APA MLA BibTeX

Lu, R., Xu, X. (2023). Lotka–Volterra lattice system: N-fold Darboux transformation, the corresponding integrable lattice family and bi-Hamiltonian structure. https://doi.org/10.1016/j.padiff.2023.100498

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1016/j.padiff.2023.100498
Akses: Open Access ✓