Ming Zhong, Weifang Weng, Zhenya Yan: Asymmetric integrable turbulence and rogue wave statistics for the derivative nonlinear Schr\"odinger equation https://arxiv.org/abs/2510.14472 https://arxiv.org/pdf/2510.14472 https://arxiv.org/html/2510.14472

Song-lin Zhao, Han Wang, Da-jun Zhang: Bilinearization and solutions of the fourth-order lattice Gel'fand-Dikii type equations https://arxiv.org/abs/2510.14426 https://arxiv.org/pdf/2510.14426 https://arxiv.org/html/2510.14426

[2025-10-17 Fri (UTC), 2 new articles found for nlinSI Exactly Solvable and Integrable Systems]

Hong-Qian Sun, Shou-Feng Shen, Zuo-Nong Zhu: A nonlocal coupled modified complex integrable dispersionless equation: Darboux transformation, soliton-type solutions and its asymptotic behavior https://arxiv.org/abs/2510.13647 https://arxiv.org/pdf/2510.13647 https://arxiv.org/html/2510.13647

[2025-10-16 Thu (UTC), 1 new article found for nlinSI Exactly Solvable and Integrable Systems]

Marta Dell'Atti, Galina Filipuk: Iterative polynomial regularisation of $\text{P}_{\text{IV}}$-type: Hamiltonian systems and Newton polygons https://arxiv.org/abs/2510.12378 https://arxiv.org/pdf/2510.12378 https://arxiv.org/html/2510.12378

Joaqu\'in L\'opez-Su\'arez, Alexios P. Polychronakos, Konstantinos Sfetsos: Adjoint ferromagnets https://arxiv.org/abs/2510.11776 https://arxiv.org/pdf/2510.11776 https://arxiv.org/html/2510.11776

Liming Ling, Huajie Su: Nonlinear stability of vector multi-solitons in coupled NLS and modified KdV equations https://arxiv.org/abs/2510.12129 https://arxiv.org/pdf/2510.12129 https://arxiv.org/html/2510.12129

Liming Ling, Xuan Sun: Focusing mKdV equation: Two-phase solutions and their stability analysis https://arxiv.org/abs/2510.12073 https://arxiv.org/pdf/2510.12073 https://arxiv.org/html/2510.12073

[2025-10-15 Wed (UTC), 2 new articles found for nlinSI Exactly Solvable and Integrable Systems]

Rupert L. Frank, Larry Read: Jost solutions and direct scattering for the continuum Calogero-Moser equation https://arxiv.org/abs/2510.11403 https://arxiv.org/pdf/2510.11403 https://arxiv.org/html/2510.11403

Khalid M. Saqr: Spectral spacetime-geometry of Womersley flow https://arxiv.org/abs/2510.10242 https://arxiv.org/pdf/2510.10242 https://arxiv.org/html/2510.10242

Xavier Blot: Equivalence of quantizations of the dispersionless KdV hierarchy https://arxiv.org/abs/2510.10234 https://arxiv.org/pdf/2510.10234 https://arxiv.org/html/2510.10234

R. Casana, E. da Hora, F. C. Simas: Exact BPS double-kinks in generalized $\phi^4$, $\phi^6$ and sine-Gordon models https://arxiv.org/abs/2510.09856 https://arxiv.org/pdf/2510.09856 https://arxiv.org/html/2510.09856

Thibault Leduque, Maxime Kaczmarek, Herv\'e Michallet, Eric Barth\'elemy, Nicolas Mordant: From deep to shallow water 2D wave turbulence: Emergence of soliton gas https://arxiv.org/abs/2510.09637 https://arxiv.org/pdf/2510.09637 https://arxiv.org/html/2510.09637

Jaume Alonso, Yuri B. Suris: Invariant volume form for 3D QRT maps https://arxiv.org/abs/2510.11468 https://arxiv.org/pdf/2510.11468 https://arxiv.org/html/2510.11468

Mark J. Ablowitz, Ramesh Gupta, Ziad H. Musslimani, Nicholas J. Ossi: On the integrable six-wave interaction system and its space-time shifted reduction https://arxiv.org/abs/2510.10312 https://arxiv.org/pdf/2510.10312 https://arxiv.org/html/2510.10312

[2025-10-14 Tue (UTC), 2 new articles found for nlinSI Exactly Solvable and Integrable Systems]

Song Li, Kelei Tian, Zhiwei Wu: On a matrix constrained CKP hierarchy https://arxiv.org/abs/2510.09054 https://arxiv.org/pdf/2510.09054 https://arxiv.org/html/2510.09054

[2025-10-13 Mon (UTC), 1 new article found for nlinSI Exactly Solvable and Integrable Systems]

[2025-10-10 Fri (UTC), no new articles found for nlinSI Exactly Solvable and Integrable Systems]

David Hernandez: Representations and characters of quantum affine algebras at the crossroads between cluster categorification and quantum integrable models https://arxiv.org/abs/2510.06437 https://arxiv.org/pdf/2510.06437 https://arxiv.org/html/2510.06437

G. Bueno, M. Bonehill: Solitons in the Korteweg-de Vries Equation https://arxiv.org/abs/2510.07207 https://arxiv.org/pdf/2510.07207 https://arxiv.org/html/2510.07207

[2025-10-09 Thu (UTC), 1 new article found for nlinSI Exactly Solvable and Integrable Systems]

Joseph Palmer: Integrable systems with symmetries: toric, semitoric, and beyond https://arxiv.org/abs/2510.05337 https://arxiv.org/pdf/2510.05337 https://arxiv.org/html/2510.05337

[2025-10-08 Wed (UTC), 1 new article found for nlinSI Exactly Solvable and Integrable Systems]

Yu-Chen Lee, Sander Wahls: Field observation of soliton gases in the deep open ocean https://arxiv.org/abs/2510.04662 https://arxiv.org/pdf/2510.04662 https://arxiv.org/html/2510.04662

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

Haonan Qu, Qiulan Zhao: Asymmetric rational reductions of 2D-Toda hierarchy and a generalized Frobenius manifold https://arxiv.org/abs/2510.04151 https://arxiv.org/pdf/2510.04151 https://arxiv.org/html/2510.04151

Robert Conte (ENS Paris-Saclay): Holomorphic, rational Lax pairs of a $q$-discrete Painlev\'e VI equation https://arxiv.org/abs/2510.03435 https://arxiv.org/pdf/2510.03435 https://arxiv.org/html/2510.03435

[2025-10-07 Tue (UTC), 3 new articles found for nlinSI Exactly Solvable and Integrable Systems]

Yihang Liu, Yongshuai Zhang, Maohua Li: Soliton,breathers,positons and rogue waves for the vector complex modified Korteweg-de Vries equation https://arxiv.org/abs/2510.03062 https://arxiv.org/pdf/2510.03062 https://arxiv.org/html/2510.03062

[2025-10-06 Mon (UTC), 1 new article found for nlinSI Exactly Solvable and Integrable Systems]

Adam Doliwa: Non-commutative multiple bi-orthogonal polynomials: formal approach and integrability https://arxiv.org/abs/2510.02207 https://arxiv.org/pdf/2510.02207 https://arxiv.org/html/2510.02207

Gordon Blower, Simon J. A. Malham: The noncommutative KP hierarchy and its solution via descent algebra https://arxiv.org/abs/2510.01352 https://arxiv.org/pdf/2510.01352 https://arxiv.org/html/2510.01352

[2025-10-03 Fri (UTC), 2 new articles found for nlinSI Exactly Solvable and Integrable Systems]

[2025-10-02 Thu (UTC), no new articles found for nlinSI Exactly Solvable and Integrable Systems]

Hennig, Karachalios, Mantzavinos, Mitsotakis: Discrete Nonlinear Schr\"odinger versus Ablowitz-Ladik: Existence and dynamics of generalized NLS-type lattices over a nonzero background https://arxiv.org/abs/2509.25650 https://arxiv.org/pdf/2509.25650 https://arxiv.org/html/2509.25650

Yanhui Bi, Bo Yuan, Yuqi Ruan, Tao Zhang: A new super integrable hierarchy and a generalized super-AKNS hierarchy https://arxiv.org/abs/2509.25995 https://arxiv.org/pdf/2509.25995 https://arxiv.org/html/2509.25995

[2025-10-01 Wed (UTC), 1 new article found for nlinSI Exactly Solvable and Integrable Systems]

Xiang-Ke Chang, Jonathan Eckhardt, Aleksey Kostenko: Infinite-peakon solutions of the Camassa-Holm equation https://arxiv.org/abs/2509.23826 https://arxiv.org/pdf/2509.23826 https://arxiv.org/html/2509.23826

Michio Jimbo, Takeo Kojima: Non-local integrals of motion for deformed $W$-algebra $W_{q,t}(g)$ associated with $g=A_l^{(1)}, D_l^{(1)}, E_{6,7,8}^{(1)}$ https://arxiv.org/abs/2509.23588 https://arxiv.org/pdf/2509.23588 https://arxiv.org/html/2509.23588

Paulo A. Faria da Veiga, Luiz A. Ferreira, Henrique Malavazzi, Ravi Mistry: Quantum Yang-Mills Charges in Strongly Coupled 2D Lattice QCD with Three Flavors https://arxiv.org/abs/2509.22790 https://arxiv.org/pdf/2509.22790 https://arxiv.org/html/2509.22790

[2025-09-30 Tue (UTC), no new articles found for nlinSI Exactly Solvable and Integrable Systems]

Sylvain Carpentier, Alexander V. Mikhailov, Jing Ping Wang: Algebraic quantisation approach to integrable differential-difference equations https://arxiv.org/abs/2509.21775 https://arxiv.org/pdf/2509.21775 https://arxiv.org/html/2509.21775

[2025-09-29 Mon (UTC), 1 new article found for nlinSI Exactly Solvable and Integrable Systems]

David Keating, Minjun Kim, Eva Loeser, Hanbaek Lyu: Diffusive Scaling limit of stochastic Box-Ball systems and PushTASEP https://arxiv.org/abs/2509.20779 https://arxiv.org/pdf/2509.20779 https://arxiv.org/html/2509.20779

Roland Bittleston, Simon Heuveline, Surya Raghavendran, David Skinner: Non-Commutative Gauge Theory at the Beach https://arxiv.org/abs/2509.20643 https://arxiv.org/pdf/2509.20643 https://arxiv.org/html/2509.20643

[2025-09-26 Fri (UTC), no new articles found for nlinSI Exactly Solvable and Integrable Systems]

Harshit Sharma, Sashmita Rout, Avadhut V. Purohit, Udaysinh T. Bhosale: Exact Solvability and Integrability Signatures in a Periodically Driven Infinite-Range Spin Chain: The Case of Floquet ... https://arxiv.org/abs/2509.19991 https://arxiv.org/pdf/2509.19991 https://arxiv.org/html/2509.19991