Results 21 to 30 of about 504 (258)
The N-species integrable Volterra system as a maximally superintegrable Hamiltonian system [PDF]
Open Communications in Nonlinear Mathematical PhysicsThe results presented in this paper are a natural development of those described in the paper {\it The Volterra Integrable case. Novel analytical and numerical results} (OCNMP Vol.4 (2024) pp 188-211), where the authors reconsidered the integrable case ...
Orlando Ragnisco, Federico Zullo
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Integrable viscous conservation laws [PDF]
, 2015 We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation of the first few corrections leads to the conjecture that such normal forms
Moro, Antonio +2 more
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SKdV, SmKdV flows and their supersymmetric gauge-Miura transformations [PDF]
Open Communications in Nonlinear Mathematical PhysicsThe construction of Integrable Hierarchies in terms of zero curvature representation provides a systematic construction for a series of integrable non-linear evolution equations (flows) which shares a common affine Lie algebraic structure. The integrable
Y. F. Adans +4 more
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Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]
, 2007 The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare +4 more
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Integrable discretization of recursion operators and unified bilinear forms to soliton hierarchies [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this paper, we give a procedure for discretizing recursion operators by utilizing unified bilinear forms within integrable hierarchies. To illustrate this approach, we present unified bilinear forms for both the AKNS hierarchy and the KdV hierarchy ...
Xingbiao Hu, Guofu Yu, Yingnan Zhang
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Degree growth of lattice equations defined on a 3x3 stencil [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe study complexity in terms of degree growth of one-component lattice equations defined on a $3\times 3$ stencil. The equations include two in Hirota bilinear form and the Boussinesq equations of regular, modified and Schwarzian type. Initial values are
Jarmo Hietarinta
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Two-fold degeneracy of a class of rational Painlev\'e V solutions [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe present a construction of a class of rational solutions of the Painlev\'e V equation that exhibit a two-fold degeneracy, meaning that there exist two distinct solutions that share identical parameters.
H. Aratyn +3 more
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Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe consider here the class of fully-nonlinear symmetry-integrable third-order evolution equations in 1+1 dimensions that were proposed recently in the journal Open Communications in Nonlinear Mathematical Physics, vol. 2, 216--228 (2022).
Marianna Euler, Norbert Euler
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The Volterra Integrable case. Novel analytical and numerical results [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn the present paper we reconsider the integrable case of the Hamiltonian $N$-species Volterra system, as it has been introduced by Vito Volterra in 1937 and significantly enrich the results already published in the ArXiv in 2019 by two of the present ...
M. Scalia +3 more
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, 2021 Consider the statement "Every Yang-Baxter integrable system is defined to be exactly-solvable". To formalise this statement, definitions and axioms are introduced.
Links, Jon, Jon Links
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