Tootfinder

Travelling-wave solutions and solitons of KdV, mKdV and NLS equations
Supriya Chatterjee, Pranab Sarkar, Benoy Talukdar
https://arxiv.org/abs/2508.18994 https://

Travelling-wave solutions and solitons of KdV, mKdV and NLS equations
We introduce the concept of soliton solutions of integrable nonlinear partial differential equations and point out that the inverse spectral method represents the rigorous mathematical formalism to construct such solutions. We work with the travelling waves of the KdV, mKdV and nonlinear Schrödinger (NLS) equations and derive a pedagogic method to find their soliton solutions. The travelling wave of the KdV equation leads directly to the well known bell type KdV soliton while the mKdV equation…

☲ Indonesia has a waste problem. Does China have a solution?
https://globalvoices.org/2025/08/05/indonesia-has-a-waste-problem-does-china-have-a-solution/

Indonesia has a waste problem. Does China have a solution?
Social opposition to WTE incineration is currently limited in Indonesia, as the industry is in an elementary phase, but public concerns will likely increase as the market in Indonesia grows.

Giants WR Darius Slayton: QB Russell Wilson is 'disgustingly consistent' on and off field https://www.nfl.com/news/giants-wr-darius-slayton-qb-russell-wilson-disgustingly-consistent-on-and-off-field

"Of mushrooms and mycelium: How fungi are powering eco-friendly solutions"
#Mushrooms #Fungi

Of mushrooms and mycelium: How fungi are powering eco-friendly solutions
Often hidden from view, fungi are a critical part of our ecosystems. Some can be eaten as mushrooms; others help trees and forests thrive. But that’s not all: they’re also helping us create low-cost, sustainable housing materials and additional income for farmers, says Gabriela D’Elia, director of the Fungal Diversity Survey and a fungi enthusiast, […]

California Republican leader calls for a 'two state solution' amid redistricting battle (Nicole Norman/Politico)
https://www.politico.com/news/2025/08/26/california-republican-leader-calls-for-a-two-state-solution-amid-redistricting-battle-00527902
http://www.memeorandum.com/250826/p151#a250826p151

An Extended Soliton's Zero Modes
Jarah Evslin, Hui Liu
https://arxiv.org/abs/2507.18922 https://arxiv.org/pdf/2507.18922…

An Extended Soliton's Zero Modes
Quantum field theory in the presence of localized solitons is more complicated than vacuum sector quantum field theory, largely as a result of the soliton's zero modes. In the present work, we try to understand to what extent this situation carries over to extended solitons. To this end, we explicitly construct the quantum state corresponding to a domain wall string or membrane, treating the zero modes carefully. This is done both for compact and also infinitely extended solitons. As an applica…

#Regenwald.org #Madagaskar: Bewahrt #Lemuren vor dem Abbau Seltener Erden

#petition Madagaskar: Bewahrt Lemuren vor dem Abbau Seltener Erden
In Madagaskars Untergrund schlummern Rohstoffe, nach denen die Europäische Union lechzt: Seltene Erden, Graphit und weitere Materialien. Sie werden von der EU als kritisch für Energiewende, Digitalisierung und Militär betrachtet. Doch der Abbau führt zu Menschenrechtsverletzungen und Naturzerstörung. Das müssen wir stoppen.

Scaling solutions for current-carrying cosmic string networks. II. Biased solutions
F. C. N. Q. Pimenta, C. J. A. P. Martins
https://arxiv.org/abs/2506.21494

Scaling solutions for current-carrying cosmic string networks. II. Biased solutions
The charge-velocity-dependent one-scale model is an extension of the canonical velocity-dependent one-scale model which explicitly incorporates additional degrees of freedom on the string worldsheet, such as arbitrary currents and charges, expected in physically realistic models. A previous paper [Pimenta and Martins, Phys. Rev. D 110, 023540 (2024)] started an in-depth classification of its possible asymptotic scaling solutions, with the goal of identifying distinguishing features which may be…

Every day, 125 Americans are killed with guns.
But we can work together to make every town safer, and support solutions that will address the causes of gun violence in America.
Sign up today and become part of a movement of millions of everyday Americans.
https://everytownsupportfund.org/join/

Join Us
Every day, 125 Americans are killed with guns. But we can work together to make every town safer, and support solutions that will address the causes of gun violence in …

Exact vacuum solution with Hopf structure in general relativity
Junpei Harada
https://arxiv.org/abs/2506.20878 https://arxiv.org/pdf/…

Exact vacuum solution with Hopf structure in general relativity
An exact solution to the vacuum Einstein equations is presented, whose structure is based on the Hopf fibration. The solution employs a geodesic null vector field that defines a twisting congruence and appears in the metric in Kerr-Schild form. This solution is of Petrov type D and involves two parameters. Remarkably, the resulting spacetime is regular, with no curvature singularities. Both the Kretschmann scalar and the Chern-Pontryagin scalar are nonzero and remain finite throughout the space…