Branched-dispersion generalizations of Lotka–Volterra and Ablowitz–Ladik nonlinear integrable systems revisited from the intersite coupling standpoint-Reference-Cited by-同舟云学术

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Branched-dispersion generalizations of Lotka–Volterra and Ablowitz–Ladik nonlinear integrable systems revisited from the intersite coupling standpoint

Published:2022-11 Issue: Volume:452 Page:128460
ISSN:0375-9601
Container-title:Physics Letters A
language:en
Short-container-title:Physics Letters A

Author:

Vakhnenko Oleksiy O.^ORCID,Verchenko Andriy P.

Funder

National Academy of Sciences of Ukraine

Publisher

Elsevier BV

Subject

General Physics and Astronomy

Reference34 articles.

1. Transformation theories for nonlinear discrete systems;Wadati;Prog. Theor. Phys. Suppl.,1976

2. Nonlinear stage of parametric wave excitation in a plasma;Zakharov;JETP Lett.,1974

3. Complete integrability and stochastization of discrete dynamical systems;Manakov;Sov. Phys. JETP,1975

4. Theory of Solitons: The Inverse Scattering Method;Novikov,1984

5. N-soliton solutions of nonlinear network equations describing a Volterra system;Hirota;J. Phys. Soc. Jpn.,1976

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dynamics of periodic wave evolution and collision for a two-component Ablowitz–Ladik system on the two physically uncoupled chains with the next-to-neighboring dispersion;The European Physical Journal Plus;2024-01-02

2. Rogue wave patterns to the artificial synchronization of three uncoupled Ablowitz−Ladik systems in the framework of Babalic−Cârstea auxiliary Lax representation;The European Physical Journal Plus;2022-11-30

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