- Lax pairs and r-matrices for some two-dimensional isotropic oscillators
2026/07/23 by Govind S. Krishnaswami, Garima Rajpoot, Srividya N. Vaidya · 1 voice
#nlin.SI #math-ph #math.DS #math.MP #physics.class-ph
- On the global well-posedness for the nonlocal Fokas-Lenells equation with the weighted Sobolev initial data on the line
2026/07/22 by Zhenya Yan, Guoqiang Zhang, Guancheng Zhu · 1 voice
#nlin.SI #math-ph #math.AP #math.MP #physics.optics #quant-ph
- Combinatorial geometry of the 2D Toda lattice and Davey Stewartson equation
2026/07/22 by Rodrigo Navarro Betancourt, Marvin Anas Hahn, Vera Posch +1 · 1 voice
#nlin.SI #hep-th #math-ph #math.AG #math.CO #math.MP
- Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background
2026/07/21 by Taohua Luo, Zhenya Yan, Guoqiang Zhang · 1 voice
#nlin.SI #math-ph #math.AP #math.MP #nlin.PS #physics.optics
- Real-Spectrum Darboux Limits at Multiple Spatial Roots of the Coupled Fokas-Lenells System
2026/07/20 by Muchen Dong, Lei Wang · 1 voice
#nlin.SI
- Integrable Volterra hierarchies over nonabelian algebras
2026/07/20 by J. P. Wang, S. Carpentier, A. V. Mikhailov · 1 voice
#nlin.SI #math-ph #math.MP
- Asymptotic Equivalence Between Quasi-Grammian and Quasi-Wronskian N-Soliton Solutions of the Anti-Self-Dual Yang-Mills Equation
2026/07/20 by Shan-Chi Huang · 1 voice
#nlin.SI #hep-th #math-ph #math.MP
- Singularity interactions for lattice equations: introducing the taishi
2026/07/17 by Ralph Willox, Basil Grammaticos, Alfred Ramani +1 · 1 voice
#nlin.SI #math-ph #math.MP
- Classical Symmetries and Painleve Analysis for the (1+3) Kudryashov-Sinelshchikov Equation
2026/07/16 by Amlan K Halder, Rajeswari Seshadri, A Paliathanasis +1 · 1 voice
#nlin.SI #math.AP
- Free Cumulants and Full Eigenstate Thermalization from Boundary Scrambling
2025/09/09 by Felix Fritzsch, Gabriel O. Alves, Fritzsch, Felix +5 · 1 voice · 5 citations
#quant-ph #cond-mat.stat-mech #math-ph #nlin.CD #nlin.SI
- Tsunami Solitons Emerging from Superconducting Gap
2025/08/23 by Daisuke A. Takahashi, Takahashi, Daisuke A. · 4 voices
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Pattern Formation and Solitons (nlin.PS) #Superconductivity (cond-mat.supr-con) #cond-mat.supr-con #hep-th #nlin.PS #nlin.SI
- Top on a smooth plane
2025/04/24 by Maria Przybylska, Andrzej Maciejewski · 4 voices
Physics and Astronomy · #nlin.CD #nlin.SI
- On the crystal limit of the q-difference sixth Painlevé equation
2024/08/15 by Nalini Joshi, Pieter Roffelsen, Joshi, Nalini +1 · 1 voice · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Polynomial and algebraic computation #math-ph #nlin.SI
- Generalised BBGKY hierarchy for near-integrable dynamics
2024/08/01 by Leonardo Biagetti, Biagetti, Leonardo, Maciej Lebek +5 · 2 citations
#cond-mat.stat-mech #cond-mat.quant-gas #nlin.SI
- Nevanlinna theory for the difference operator
2005/06/01 by R. G. Halburd, Halburd, R. G., R. J. Korhonen +1 · 2 citations
Mathematics · Physics and Astronomy · #30D35 (primary) 39A10 #39A12 (secondary) #Complex Variables (math.CV) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #math.CV #msc:30D35 #msc:39A10 #msc:39A12 #nlin.SI
- A cohomological construction of integrable hierarchies of hydrodynamic type
2005/04/29 by Paolo Lorenzoni, Lorenzoni, Paolo, Franco Magri +1 · 1 citation
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI
- Finite-order meromorphic solutions and the discrete Painleve equations
2005/04/13 by R. G. Halburd, Rod Halburd, R. J. Korhonen +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Meromorphic and Entire Functions #Nonlinear Waves and Solitons #math.CV #nlin.SI
- Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations
2005/04/12 by R. G. Halburd, Risto Korhonen, R. J. Korhonen +2 · 3 citations
Mathematics · Physics and Astronomy · #30D35 (primary) 39A10 #39A12 (secondary) #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Meromorphic and Entire Functions #math.CA #math.CV #msc:30D35 #msc:39A10 #msc:39A12 #nlin.SI
- Factorization of the R-matrix.I
2005/03/19 by S. E. Derkachov, Derkachov, S. E. · 1 citation
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #hep-th #math.QA #math.RT #nlin.SI
- Degasperis-Procesi peakons and the discrete cubic string
2005/03/16 by Hans Lundmark, Jacek Szmigielski · 1 citation
Physics and Astronomy · #nlin.SI
- Six results on Painleve VI
2005/03/02 by Philip Boalch, Boalch, Philip · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Classical Analysis and ODEs (math.CA) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Finite Group Theory Research #math.AG #math.CA #nlin.SI
- Dynamics of rolling disk
2005/02/18 by A. V. Borisov, I. S. Mamaev, A. A. Kilin · 1 citation
Physics and Astronomy · #nlin.CD #nlin.SI
- Orthogonal polynomials with discontinuous weights
2005/01/22 by Yang Chen, Gunnar Pruessner · 2 citations
Mathematics · Physics and Astronomy · #math-ph #math.MP #nlin.SI
- Inhomogenous model of crossing loops and multidegrees of some algebraic varieties
2004/12/10 by P. Di Francesco, P. Zinn-Justin, Di Francesco, P. +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AG #math.CO #math.MP #nlin.SI
- Point configurations, Cremona transformations and the elliptic difference Painlevé equation
2004/11/02 by K. Kajiwara, Kenji Kajiwara, Kajiwara, K. +12 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Waves and Solitons #math.AG #nlin.SI
- Integrable lattices and their sub-lattices: from the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme
2004/10/21 by A. Doliwa, Doliwa, A., P. Grinevich +5 · 1 citation
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI
- The Short Pulse Equation Is Integrable
2004/09/19 by Anton Sakovich, Sergei Sakovich · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #Molecular spectroscopy and chirality #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.AP #math.MP #nlin.SI #physics.optics
- Fluctuations of the one-dimensional polynuclear growth model with external sources
2004/06/01 by T. Imamura, Takashi Imamura, T. Sasamoto +1 · 4 citations
Mathematics · Physics and Astronomy · #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #math-ph #math.MP #math.PR #nlin.SI
- Symmetry, Equivalence and Integrable Classes of Abel Equations
2004/04/09 by Vyacheslav M. Boyko, V. Boyko, Boyko, Vyacheslav M. · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Polynomial and algebraic computation #math-ph #math.MP #nlin.SI
- The Boussinesq integrable system. Compatible lattice and continuum structures
2004/02/26 by Anastasios Tongas, Tongas, Anastasios, Frank Nijhoff +1 · 1 citation
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI
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