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Every paper Pith has read. Search by title, abstract, or pith.
148 papers in nlin.SI · page 1
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Cuspon moving boundaries solved exactly by Painlevé II reduction
Moving Boundary Problems for a Cuspon Equation and Reciprocal Associates: Exact Solution via Painleve' Symmetry Reduction
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Integrable observables prove Π-hierarchy equivalences
Beyond descendants: integrable observables for cohomological field theories
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Champagne bottle potential yields explicit semi-global invariant
Semi-global symplectic invariant of the champagne bottle
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Prepotentials for type A Frobenius manifolds proven as limits
Landau-Ginzburg models of generalised Dubrovin-Zhang form and pole collision: Dynkin-type A
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Polynomial Hamiltonians yield meromorphic solutions only for degrees 3,4,5,7
Modified Painlev\'e systems with meromorphic solutions for polynomial Hamiltonians of all degrees
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Soliton gas for NLS settles to constant elliptic wave at large negative space
Large-space and Large-time Asymptotics for the Focusing Nonlinear Schr\"{o}dinger Soliton Gas
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Weakest quantization conditions for deformed Schrödinger equations derived
Higher-Rank Connections and Deformed Schr\"odinger Operators
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mKdV soliton gas splits into 2n+1 theta regions at large time
Large-space and large-time asymptotics for the mKdV soliton gas with any odd genus
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Variational proof establishes stability of smooth waves in Fornberg-Whitham model
Orbital Stability of Smooth Traveling Solitary Waves to the Fornberg-Whitham Equation
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Weierstrass functions give exact solutions for all coherent couplers
Complete Weierstrass elliptic function solutions for coherent couplers and their relation to degenerate four-wave mixing
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Interactions alone produce Bloch oscillations in continuum quantum gases
Generalized Hydrodynamics of Bloch Oscillations in the Absence of a Lattice
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Classical Wronskians solve zero-momentum sine-Gordon quantum model
From classical Lax ODEs to quantum integrable theories: the moduli
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Dark soliton gas reduces genus step by step in long-time evolution
Arbitrary-genus dark soliton gases in the defocusing nonlinear Schr\"{o}dinger hydrodynamics
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Recursion shows Yangian symmetry in deformed sigma models
The classical Yangian symmetry of Auxiliary Field Sigma Models
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Darboux transformations construct tau functions for constrained CKP
The tau functions of the constrained CKP hierarchy
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Cross-diffusion system admits time translation and parabolic scaling
Lie symmetry classification of a coupled nonlinear cross-diffusion system in radial geometry
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Transcendental curves locate non-Liouvillian integrals for oscillators
Integrability of oscillators and transcendental invariant curves
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AKNS reductions create 23 shifted nonlocal NLS equations
Multi-place shifted nonlocal reductions of a multi-component AKNS system
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Hamiltonian formulation derived for supersymmetric KdV equation
Hamiltonian formulation of the supersymmetric KdV equation
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Branching from negative potentials tames Feynman-Kac kernels
Tamed Feynman-Kac diffusion processes: Killing-branching intertwine
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Toda lattice converges to KdV globally under scaling
The Korteweg-de Vries limit for the global dynamics of the Toda lattice
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Exact algebraic phases derived for three identical Kuramoto oscillators
Global Analytical Solution of the Identical Kuramoto Model for N=3 via Koopman Eigenfunctions
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The paper develops an analytical framework to compute the probability distribution of…
Soliton gas resolution and statistics of random wave fields in semiclassical integrable turbulence
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Tau-ratio form splits Ernst equation into trilinear kernel
The General Structure of Trilinear Equations
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Ernst equations split into universal trilinear kernel
The General Structure of Trilinear Equations
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Stronger initial noise raises rogue wave odds in GI equation
Rogue wave statistics and integrable turbulence in the Gerdjikov-Ivanov equation
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Astroidal graphs give explicit dimer formulas for any Newton polygon
Dimer models on astroidal zig-zag graphs
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Kontsevich model explicitly matches r-spin geometry
Generalized Kontsevich model, topological recursion, and $r$-spin theory
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Infinite conservation laws prove integrability of negative wave hierarchies
Negative Hierarchy of Hydrodynamic Type Equations
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Schwarzian KP recast as bilinear equation on KP tau-function pairs
Bilinear formalism for Schwarzian KP and Harry Dym hierarchies
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Top-slot fields span quadratic Killing tensors on rank-one spaces
On Killing tensors on Riemannian symmetric spaces
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RH solver computes coupled mKdV solutions directly at any point
Numerical inverse scattering transform for the coupled modified Korteweg-de Vries equation
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Twist of quantum group generates long-range spin-chain deformations
The quantum group structure of long-range integrable deformations
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Lax triples of KdV and NLS yield scalene Yang-Baxter maps
Scalene Yang-Baxter maps and Lax triples
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Gauge transforms simplify Lax pairs and build Miura maps for difference equations
On matrix Lax representations for (1+1)-dimensional evolutionary differential-difference equations
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Coupled rogue waves split into two distinct coexisting patterns
Coexistence of two distinct rogue wave patterns in the coupled nonlinear Schr\"odinger equation
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Toda integrability yields structures for b-angulations
On enumeration of $b$-angulations of surfaces from an integrability perspective
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Curvature gradient sets rigid rotation speed for vortex pairs on catenoid
Co-rotating Vortices on Surfaces of Variable Negative Curvature: Hamiltonian Structure and Curvature-Induced Drift
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Curvature gradient sets rotation rate of vortex pairs on catenoid
Co-rotating Vortices on Surfaces of Variable Negative Curvature: Hamiltonian Structure and Curvature-Induced Drift
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Tracer fluctuations match in diffusive and ballistic hard-rod gases
Universal tracer statistics in single-file transport
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Hirota-Miwa equations collapse to seven distinct models
Discrete integrable equations with three independent variables
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Saffman crossover switches dipole pairs to two-dimensional dynamics
Quenched Dipole Pairs in Viscous Fluid Membranes across the Saffman Crossover: Integrable Hamiltonian Dynamics
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Umemura roots predict rogue wave patterns
Rogue-wave and lump patterns associated with the third Painlev\'{e} equation
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Skew-orthogonal polynomials reduce to linear combinations of orthogonal ones
Skew-orthogonal polynomials for a quartic Freud weight: two classes of quasi-orthogonal polynomials
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RLL realization covers orthosymplectic quantum supergroups for any parity
Orthosymplectic quantum groups revisited
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Invariants test if spectral parameters in Lax pairs are essential
The gauge action on semi-discrete Lax representations and its invariants
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Euler textbooks classify integrable planar systems
On integrable by Euler planar differential systems
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New duality maps Hamiltonian to Lagrangian forms for integrable systems
Duality of Hamiltonian and Lagrangian formulations for integrable systems
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Orlov-Schulman symmetries extend self-dual conformal hierarchy
Orlov-Schulman symmetries of the self-dual conformal structure equations
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Explicit canonical coordinates separate Kaup-Kupershmidt Hénon-Heiles dynamics
Canonical separating coordinates in the generalized cubic H\'enon-Heiles systems