Tootfinder

Inverse scattering transform for the coupled Lakshmanan-Porsezian-Daniel equation with nonzero boundary conditions
Peng-Fei Han, Ru-Suo Ye, Yi Zhang
https://arxiv.org/abs/2404.03351

Inverse scattering transform for the coupled Lakshmanan-Porsezian-Daniel equation with nonzero boundary conditions
The challenge of solving the initial value problem for the coupled Lakshmanan Porsezian Daniel equation, while considering nonzero boundary conditions at infinity, is addressed through the development of a suitable inverse scattering transform. Analytical properties of the Jost eigenfunctions are examined, along with the analysis of scattering coefficient characteristics. This analysis leads to the derivation of additional auxiliary eigenfunctions necessary for the comprehensive investigation o…

Kremlsprecher nennt Putins Ergebnis "außergewöhnlich" und attackiert Nawalnaja
Kreml-Sprecher Dmitri Peskow hat das Wahlergebnis Wladimir Putins bei der russischen Präsidentenwahl als "außergewöhnlich" bezeichnet. "Das ist ein absolut außergewöhnliches Ergebnis für den amtierenden Präsidenten (...) und eine deutliche Bestätigung der Unterstützung unserer Bevölkerung für ihren Staatschef", erklärte Peskow zu Putins Wahlergebnis…
📑

Ukraine-Liveblog: ++ Baerbock warnt vor "Gewaltsystem" Russlands ++
Bundesaußenministerin Baerbock hat dazu aufgerufen, dem "imperialen Wahn" des russischen Präsidenten Putin entgegenzutreten. Deutschland und Polen wollen bei der Lieferung von Munition an die Ukraine kooperieren. Der Liveblog vom Montag zum Nachlesen.

Brain recordings in people before surgery reveal how all minds plan what to say before speaking https://nyulangone.org/news/brain-recordings-people-surgery-reveal-how-all-minds-plan-what-say-speaking "Latencies were…

Brain Recordings in People Before Surgery Reveal How All Minds Plan What to Say Before Speaking
An NYU Langone study of presurgical brain recordings shows that pauses in speech reveal information about how people’s brains plan what to say before speaking.

This https://arxiv.org/abs/2308.09269 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Transition to anomalous dynamics in a simple random map
The famous Bernoulli shift (or dyadic transformation) is perhaps the simplest deterministic dynamical system exhibiting chaotic dynamics. It is a piecewise linear time-discrete map on the unit interval with a uniform slope larger than one, hence expanding, with a positive Lyapunov exponent and a uniform invariant density. If the slope is less than one the map becomes contracting, the Lyapunov exponent is negative, and the density trivially collapses onto a fixed point. Sampling from these two d…

Investigation of shallow water waves near the coast or in lake environments via the KdV-Calogero-Bogoyavlenskii-Schiff equation
Peng-Fei Han, Yi Zhang
https://arxiv.org/abs/2404.18697

Investigation of shallow water waves near the coast or in lake environments via the KdV-Calogero-Bogoyavlenskii-Schiff equation
Shallow water waves phenomena in nature attract the attention of scholars and play an important role in fields such as tsunamis, tidal waves, solitary waves, and hydraulic engineering. Hereby, for the shallow water waves phenomena in various natural environments, we study the KdV-Calogero-Bogoyavlenskii-Schiff (KdV-CBS) equation. Based on the Bell polynomial theory, the B{ä}cklund transformation, Lax pair and infinite conservation laws of the KdV-CBS equation are derived, and it is proved that…

This https://arxiv.org/abs/2112.04009 has been replaced.
link: https://scholar.google.com/scholar?q=a

Passenger Network Ridership Model Through a BRT System, the case of TransMilenio in Bogotá
We present a ridership model of individual trajectories of users within a public transport network for which there are several different routes between origin and destiny and for which the automatic fare collection data does not include information about the exit station; only card identification and time of entry into the system. This model is implemented in the case of the Troncal component of TransMilenio, the BRT system that is the backbone of public transport in Bogotá. The granularity of…

Fire Spread Modeling using Probabilistic Cellular Automata
Rohit Ghosh, Jishnu Adhikary, Rezki Chemlal
https://arxiv.org/abs/2403.08817 https://

Fire Spread Modeling using Probabilistic Cellular Automata
A cellular automaton (CA)-based modeling approach to simulate wildfire spread, emphasizing its strengths in capturing complex fire dynamics and its integration with geographic information systems (GIS). The model introduces an enhanced CA-based methodology for wildfire prediction, emphasizing interactions between neighboring cells and incorporating major determinants of fire spread, including wind direction, wind speed, and vegetation density, while also accounting for spotting and probabilis…

Bosonic construction of CKP tau function
Shen Wang, Wenchuang Guan, Jipeng Cheng
https://arxiv.org/abs/2404.09217 https://arxiv.org/p…

Bosonic construction of CKP tau function
The CKP tau function has been an important topic in mathematical physics. In this paper, the inverse of vacuum expectation value of exponential of certain bosonic fields, is showed to be the CKP tau function given by Chang and Wu, in the language of CKP Darboux transformation. In fact, computation of the above vacuum expectation value is usually quite difficult, since the square of bosonic fields is usually not zero. Here the corresponding vacuum expectation value is understood as successive ap…

This https://arxiv.org/abs/2305.12370 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Rotations and integrability
We discuss some families of integrable and superintegrable systems in $n$-dimensional Euclidean space which are invariant to $m\geq n-2$ rotations. The integrable invariant Hamiltonian $H=\sum p_i^2+V(q)$ commutes with $n-2$ integrals of motion $M_α$ and an additional integral of motion $G$, which are polynomials of first and fourth-order in momenta, respectively.

This https://arxiv.org/abs/2309.02336 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

A family of integrable maps associated with the Volterra lattice
Recently Gubbiotti, Joshi, Tran and Viallet classified birational maps in four dimensions admitting two invariants (first integrals) with a particular degree structure, by considering recurrences of fourth order with a certain symmetry. The last three of the maps so obtained were shown to be Liouville integrable, in the sense of admitting a non-degenerate Poisson bracket with two first integrals in involution. Here we show how the first of these three Liouville integrable maps corresponds to ge…