Tootfinder

Surface Wave Solutions in 1D and 2D for the Broer-Kaup-Boussinesq-Kupershmidt (BKBK) System
Darryl D. Holm, Ruiao Hu, Hanchun Wang
https://arxiv.org/abs/2510.02577 https://

Surface Wave Solutions in 1D and 2D for the Broer-Kaup-Boussinesq-Kupershmidt (BKBK) System
The BKBK system is a singular perturbation of the classical shallow water equations which modifies their transport velocity to depend on wave elevation slope. This modification introduces backward diffusion terms proportional to a real parameter $κ$. These terms also make BKBK completely integrable as a Hamiltonian system. Remarkably, when $κ=i/2$ the BKBK system may be transformed into the focusing nonlinear Schrödinger (NLS). Thus, the BKBK system with its real parameter $κ$ is complement…

Terahertz Channel Measurement and Modeling for Short-Range Indoor Environments
Ziang Zhao, Weixi Liang, Kai Hu, Qun Zhang, Xiongbin Yu, Qiang Li
https://arxiv.org/abs/2510.04258

Terahertz Channel Measurement and Modeling for Short-Range Indoor Environments
Accurate channel modeling is essential for realizing the potential of terahertz (THz) communications in 6G indoor networks, where existing models struggle with severe frequency selectivity and multipath effects. We propose a physically grounded Rician fading channel model that jointly incorporates deterministic line-of-sight (LOS) and stochastic non-line-of-sight (NLOS) components, enhanced by frequency-dependent attenuation characterized by optimized exponents alpha and beta. Unlike convention…

Local limit of focusing discrete NLS
Kesav Krishnan, Gourab Ray
https://arxiv.org/abs/2509.25759 https://arxiv.org/pdf/2509.25759

Local limit of focusing discrete NLS
We examine the behavior of a function sampled from the invariant measure associated to the focusing discrete Non Linear Schrödinger equation, defined on a discrete torus of dimension $d \geq 3$, and nonlinearity parameter $p>4$, in the infinite volume limit. The Gibbs measure has two parameters, the inverse temperature and the strength of the non linearity, and the scaling is such that the non linear and linear parts of the Hamiltonian contribute on the same scale. It was shown by Dey, Kirkpat…

Quasi-integrability from PT-symmetry
Kumar Abhinav, Partha Guha, Indranil Mukherjee
https://arxiv.org/abs/2510.05065 https://arxiv.org/pdf/2510.05065

Quasi-integrability from PT-symmetry
Parity and time-reversal (PT) symmetry is shown as the natural cause of quasi-integrability of deformed integrable models. The condition for asymptotic conservation of quasi-conserved charges appear as a direct consequence of the PT-symmetric phase of the system, ensuring definite PT-properties of the corresponding Lax pair as well as that of the anomalous contribution. This construction applies to quasi-deformations of multiple systems such as KdV, NLSE and non-local NLSE.