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The Painleve Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Painlevé Test of Higher Dimensional KdV Equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The partition function of the two-matrix model as an isomonodromic tau-function

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Past and the Future in the Present

Nonlinear Sciences – Chaotic Dynamics
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The PDEs of biorthogonal polynomials arising in the two-matrix model

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Peakon Limit of the N-Soliton Solution of the Camassa-Holm Equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The pentagon relation and incidence geometry

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The periodic Lax operators $\cL$ of the equations of Benney type II

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The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems

Nonlinear Sciences – Chaotic Dynamics
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The Perturbed NLS Equation and Asymptotic Integrability

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The Pfaff lattice and skew-orthogonal polynomials

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Pfaff lattice on symplectic matrices

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Pfaff lattice, Matrix integrals and a map from Toda to Pfaff

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Phase Information Associated to Synchronized Electronic Fireflies

Nonlinear Sciences – Adaptation and Self-Organizing Systems
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The phase portrait of aperiodic non-autonomous dynamical systems

Nonlinear Sciences – Chaotic Dynamics
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The Phase Structure in the Evolution of Globally coupled Spatial Prisoner's Dilemma

Nonlinear Sciences – Cellular Automata and Lattice Gases
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The piston dispersive shock wave problem

Nonlinear Sciences – Pattern Formation and Solitons
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The planar filament equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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The Poincare-Birkhoff theorem in Quantum Mechanics

Nonlinear Sciences – Chaotic Dynamics
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The Poisson bracket compatible with the classical reflection equation algebra

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