Nonlinear Sciences

Soliton solutions to the coupled Sasa-Satsuma-mKdV equation Changyan Shi, Bao-Feng Feng arxiv.org/abs/2603.18207 [𝚗𝚕𝚒𝚗.𝚂𝙸 𝚖𝚊𝚝𝚑-𝚙𝚑 𝚖𝚊𝚝𝚑.𝙼𝙿]

Nonlinear Incompressible Shear Wave Models in Hyperelasticity and Viscoelasticity Frameworks, with Applications to Love Waves Shawn Samuel Carl McAdam, … arxiv.org/abs/2603.18296 [𝚗𝚕𝚒𝚗.𝚂𝙸 𝚌𝚜.𝙽𝙰 𝚖𝚊𝚝𝚑-𝚙𝚑 𝚖𝚊𝚝𝚑.𝙰𝙿 𝚖𝚊𝚝𝚑.𝙼𝙿 𝚖𝚊𝚝𝚑.𝙽𝙰]

PGL(3)-invariant integrable systems from factorisation of linear differential and difference operators Frank Nijhoff, Linyu Peng, Cheng Zhang, Da-jun Zhang arxiv.org/abs/2603.18386 [𝚗𝚕𝚒𝚗.𝚂𝙸 𝚖𝚊𝚝𝚑-𝚙𝚑 𝚖𝚊𝚝𝚑.𝙼𝙿]

Painlevé-type asymptotics for the defocusing Manakov system with nonzero boundary conditions Haibing Zhang, Xianguo Geng, Ruomeng Li, Huan Liu arxiv.org/abs/2603.18430 [𝚗𝚕𝚒𝚗.𝚂𝙸]

Chaotic Oscillator Networks for Classification Tasks Toni Ivas, Georgios Violakis, Roland Richter, Patrik Hoffmann, Sergey Shevchik arxiv.org/abs/2603.16909 [𝚗𝚕𝚒𝚗.𝙲𝙳 𝚌𝚜.𝙽𝙴 𝚙𝚑𝚢𝚜𝚒𝚌𝚜.𝚌𝚘𝚖𝚙-𝚙𝚑]

Hierarchical fragmentation of regular islands in a discontinuous nontwist map Matheus Rolim Sales, Michele Mugnaine, Leonardo Costa de Souza, Iberê Luiz Caldas, Edson Denis Leonel, José Danilo Szezech Jr arxiv.org/abs/2603.17120 [𝚗𝚕𝚒𝚗.𝙲𝙳]

Molecular-scale, nonlinear actomyosin binding dynamics drive population-scale adaptation and evolutionary convergence Jake McGrath, Colin Johnson, José Alvarado arxiv.org/abs/2603.17183 [𝚗𝚕𝚒𝚗.𝙰𝙾 𝚙𝚑𝚢𝚜𝚒𝚌𝚜.𝚋𝚒𝚘-𝚙𝚑]

The Bohlin variant of the Eisenhart lift Anton Galajinsky arxiv.org/abs/2603.15626 [𝚗𝚕𝚒𝚗.𝚂𝙸 𝚑𝚎𝚙-𝚝𝚑 𝚖𝚊𝚝𝚑-𝚙𝚑 𝚖𝚊𝚝𝚑.𝙼𝙿]

Dicovering the emergent nonlinear dynamics of acoustically levitated cube clusters Annie Z. Xia, Melody X. Lim, Jason Z. Kim, Bryan VanSaders, Heinrich Jaeger arxiv.org/abs/2603.15894 [𝚗𝚕𝚒𝚗.𝙲𝙳 𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚜𝚘𝚏𝚝]

Gradual emergence of temporal structures depending on the distance between neighboring callers in natural habitat of male treefrogs Ikkyu Aihara, Ryu Takeda, Masahiro Shirasaka, Daichi Kominami, Hiromitsu Awano, Masayuki Murata arxiv.org/abs/2603.16051 [𝚗𝚕𝚒𝚗.𝙰𝙾]

Effect of machine arithmetic errors for multi-turn invariant curve destruction David Nikitin, Nataliya Stankevich arxiv.org/abs/2603.16174 [𝚗𝚕𝚒𝚗.𝙲𝙳 𝚌𝚜.𝙽𝙰 𝚖𝚊𝚝𝚑.𝙽𝙰]

An Extended Modified Kadomtsov-Petviashvili Equation: Ermakov-Painlevé II Symmetry Reduction with Moving Boundary Application Colin Rogers, Pablo Amster arxiv.org/abs/2603.16520 [𝚗𝚕𝚒𝚗.𝚂𝙸 𝚖𝚊𝚝𝚑-𝚙𝚑 𝚖𝚊𝚝𝚑.𝙼𝙿]

Impact of phase modulation on the dynamics of temporal localized structures in injected Kerr microcavities Marc Hunkemöller, Thomas G. Seidel, Julien Javaloyes, Svetlana V. Gurevich arxiv.org/abs/2603.16807 [𝚗𝚕𝚒𝚗.𝙿𝚂 𝚙𝚑𝚢𝚜𝚒𝚌𝚜.𝚘𝚙𝚝𝚒𝚌𝚜]

Emergent E-I Structure in Performance-Evolved Reservoir Networks of Neuronal Population Dynamics Manish Yadav arxiv.org/abs/2603.13635 [𝚗𝚕𝚒𝚗.𝙰𝙾]

Hierarchy of extreme-event predictability in turbulence revealed by machine learning Yuxuan Yang, Chenyu Dong, Gianmarco Mengaldo arxiv.org/abs/2603.13789 [𝚗𝚕𝚒𝚗.𝙲𝙳 𝚌𝚜.𝙻𝙶 𝚖𝚊𝚝𝚑.𝙳𝚂 𝚙𝚑𝚢𝚜𝚒𝚌𝚜.𝚌𝚘𝚖𝚙-𝚙𝚑 𝚙𝚑𝚢𝚜𝚒𝚌𝚜.𝚏𝚕𝚞-𝚍𝚢𝚗]

Boussinesq-Klein-Gordon and Ostrovsky equations: evolution of cnoidal waves with local defects Korsarun Nirunwiroj, Dmitri Tseluiko, Karima Khusnutdinova arxiv.org/abs/2603.14344 [𝚗𝚕𝚒𝚗.𝙿𝚂 𝚗𝚕𝚒𝚗.𝚂𝙸]

Frequency Heterogeneity can Promote Order yet Undermine Stability in Kuramoto Networks with Higher-Order Interactions Zheng Wang, Jinjie Zhu, Wenchang Qi, Xianbin Liu arxiv.org/abs/2603.14950 [𝚗𝚕𝚒𝚗.𝙰𝙾]

Tipping resonance in a chaotically forced ice age model Courtney Quinn, Hassan Alkhayuon arxiv.org/abs/2603.15043 [𝚗𝚕𝚒𝚗.𝙲𝙳 𝚖𝚊𝚝𝚑.𝙳𝚂]

Propagation of Gaussian beam in strongly nonlocal nonlinear media with inhomogeneous diffraction K L Mamatha, S Stalin, K Nithyanandan arxiv.org/abs/2603.15076 [𝚗𝚕𝚒𝚗.𝙿𝚂 𝚙𝚑𝚢𝚜𝚒𝚌𝚜.𝚘𝚙𝚝𝚒𝚌𝚜]

Storage and selection of multiple chaotic attractors in minimal reservoir computers Francesco Martinuzzi, Holger Kantz arxiv.org/abs/2603.15155 [𝚗𝚕𝚒𝚗.𝙲𝙳 𝚌𝚜.𝙻𝙶]