Zobrazeno 1 - 10
of 330
pro vyhledávání: '"[NLIN.NLIN-SI]Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI]"'
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Vol Special Issue in Memory of... (2024)
In this article we present the results obtained applying the multiple scale expansion up to the order $\varepsilon^6$ to a dispersive multilinear class of equations on a square lattice depending on 13 parameters. We show that the integrability condit
Externí odkaz:
https://doaj.org/article/88c460cdcea1484c97c39b689710151c
Autor:
George, Terrence, Ramassamy, Sanjay
Cluster integrable systems are a broad class of integrable systems modelled on bipartite dimer models on the torus. Many discrete integrable dynamics arise by applying sequences of local transformations, which form the cluster modular group of the cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25965bdcbd07de633e23b259da7ed1bb
https://hal.science/hal-03815673
https://hal.science/hal-03815673
Autor:
Dmitry Ponomarev
Publikováno v:
AppliedMath; Volume 2; Issue 3; Pages: 433-445
AppliedMath
AppliedMath, 2022, 2 (3), pp.433-445. ⟨10.3390/appliedmath2030024⟩
AppliedMath
AppliedMath, 2022, 2 (3), pp.433-445. ⟨10.3390/appliedmath2030024⟩
We review several one-dimensional problems such as those involving linear Schrödinger equation, variable-coefficient Helmholtz equation, Zakharov–Shabat system and Kubelka–Munk equations. We show that they all can be reduced to solving one simpl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c720abaf5cab4de38439b309f17fba46
Publikováno v:
Communications on Pure and Applied Analysis
Communications on Pure and Applied Analysis, 2022, 21 (10), pp.3389. ⟨10.3934/cpaa.2022105⟩
Communications on Pure and Applied Analysis, 2022, 21 (10), pp.3389. ⟨10.3934/cpaa.2022105⟩
We consider the initial-value problem for the one-dimensional, time-dependent wave equation with positive, Lipschitz continuous coefficients, which are constant outside a bounded region. Under the assumption of compact support of the initial data, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b92acfe47ae6bf2ae83f5d20bb491b7b
In this paper, we prove new results on the validity of the limiting amplitude principle (LAP) for the wave equation with nonconstant coefficients, not necessarily in divergence form. Under suitable assumptions on the coefficients and on the source te
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77fc13f6eb949e58d97e52417b3de24e
Autor:
magnot, jean-pierre, Reyes, Enrique
We equip the regular Fr\'echet Lie group of invertible, odd-class, classical pseudodifferential operators $Cl^{0,*}_{odd}(M,E)$ -- in which $M$ is a compact smooth manifold and $E$ a (complex) vector bundle over $M$ -- with pseudo-Riemannian metrics,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70e7a8cf8416a77c5f769ebcaadcb89f
http://arxiv.org/abs/2104.08159
http://arxiv.org/abs/2104.08159
Publikováno v:
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2021
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, European Mathematical Society, In press
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2021
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, European Mathematical Society, In press
International audience; Chelkak introduced $s$-embeddings as tilings by tangential quads which provide the right setting to study the Ising model with arbitrary coupling constants on arbitrary planar graphs. We prove the existence and uniqueness of a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::4026086d0764055b0a4899bbdaf990f8
https://hal.science/hal-02512557v2
https://hal.science/hal-02512557v2
Cross-ratio dynamics, allowing to construct 2D discrete conformal maps from 1D initial data, is a well-known discrete integrable system in discrete differential geometry. We relate it to the dimer integrable system from statistical mechanics by ident
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03cc9317c9bd5cd9ecda7d49c11df647
https://hal.science/hal-03364744
https://hal.science/hal-03364744
ON THE KADOMTSEV-PETVIASHVILI HIERARCHY IN AN EXTENDED CLASS OF FORMAL PSEUDO-DIFFERENTIAL OPERATORS
Autor:
Jean-Pierre Magnot, Vladimir Roubtsov
Publikováno v:
Theoretical and Mathematical Physics
Theoretical and Mathematical Physics, Springer, In press
Theoretical and Mathematical Physics, Springer, In press
We study the existence and uniqueness of the Kadomtsev-Petviashvili (KP) hierarchy solutions in the algebra of $\F Cl(S^1,\K^n)$ of formal classical pseudo-differential operators. The classical algebra $\Psi DO(S^1,\K^n)$ where the KP hierarchy is we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa419ad5b20ed6d1d4cf507bcd6210f9
https://hal.archives-ouvertes.fr/hal-03104685/file/quaternionKP-TMP-2020-12-22.pdf
https://hal.archives-ouvertes.fr/hal-03104685/file/quaternionKP-TMP-2020-12-22.pdf
We investigate an application of a mathematically robust minimization method -- the gradient method -- to the consistencization problem of a pairwise comparisons (PC) matrix. Our approach sheds new light on the notion of a priority vector and leads n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3a0ccbdc9be882c75bd5010685897fc