Clay weekly context brief for the Nonlinear Sciences category (ISO week 2026-W29).

Clay tracks publications from the Nonlinear Sciences feed list. Below are recent items from this category, each with its source and a short description of what the publication covers when one is available in the source feed.

Recent publications:
1. Imprints of octupole collectivity in uranium-238 on relativistic heavy-ion flow observables
   Source: nucl-ex (Nuclear Experiment)
   Link: https://arxiv.org/abs/2504.15245
   Some atomic nuclei exhibit enhanced octupole collectivity, reflected in finite reflection-asymmetric multipole correlations rather than necessarily in a rigid static pear-shaped ground state.
2. Superheavy dark-bright soliton as a signature of spatial symmetry breaking transition in harmonically trapped Bose mixtures
   Source: nlin.PS (Pattern Formation and Solitons)
   Link: https://arxiv.org/abs/2607.09064
   We investigate the dynamics of a dark-bright soliton in harmonically trapped two-component Bose-Einstein condensates and reveal an interesting spontaneous spatial symmetry breaking driven by nonlinear interactions.
3. Spin distribution of fission fragments involving bending and wriggling modes
   Source: nucl-ex (Nuclear Experiment)
   Link: https://arxiv.org/abs/2412.04410
   We present a closed analytical description of the spin distributions of the fragments produced in low-energy induced and spontaneous fission.
4. Stabilization of two-dimensional optical continuous-wave states by a potential trough
   Source: nlin.PS (Pattern Formation and Solitons)
   Link: https://arxiv.org/abs/2607.09607
   We consider quasi-one-dimensional (Q1D) continuous waves (CWs) in the two-dimensional (2D) optical system with the cubic-quintic nonlinearity and a Q1D potential trough.
5. Stochastic Similarity Renormalization Group
   Source: nucl-ex (Nuclear Experiment)
   Link: https://arxiv.org/abs/2607.08830
   By integrating the quantum Monte Carlo technique into the similarity renormalization group (SRG), we have developed a stochastic SRG framework (SRGQMC) capable of both free-space two-body and in-medium many-body evolutions.
6. Field observation of soliton gases in the deep open ocean
   Source: nlin.PS (Pattern Formation and Solitons)
   Link: https://arxiv.org/abs/2510.04662
   Soliton gases are large ensembles of random solitons with distinct characteristics arising from integrable system dynamics.
7. Scaling approach to rigid and soft nuclear deformation through flow fluctuations in high-energy nuclear collisions
   Source: nucl-ex (Nuclear Experiment)
   Link: https://arxiv.org/abs/2509.09376
   The nature of octupole deformation, whether static or vibrational, remains an open question in nuclear physics.

Sources in this brief: nlin.PS (Pattern Formation and Solitons); nucl-ex (Nuclear Experiment).
Selected 7 of 8 available items for this weekly brief.