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A tropical analogue of the Hessian group

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A truncation for obtaining all the first degree birational transformations of the Painlevé transcendents

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A Turbulent Constitutive Law for the Two-Dimensional Inverse Energy Cascade

Nonlinear Sciences – Chaotic Dynamics
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A turning point analysis of the ergodic dynamics of iterative maps

Nonlinear Sciences – Chaotic Dynamics
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A twist localizes three-dimensional patterns

Nonlinear Sciences – Pattern Formation and Solitons
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A two-dimensional paradigm for symmetry breaking: the nonlinear Schrodinger equation with a four-well potential

Nonlinear Sciences – Pattern Formation and Solitons
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A type of bounded traveling wave solutions for the Fornberg-Whitham equation

Nonlinear Sciences – Pattern Formation and Solitons
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A unification in the theory of linearization of second order nonlinear ordinary differential equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A Unified Approach to Attractor Reconstruction

Nonlinear Sciences – Chaotic Dynamics
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A unified approach to computation of integrable structures

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A unified approach to Darboux transformations

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A unified description of the asymmetric q-P_{v} and d-P_{iv} equations and their Schlesinger transformations

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A unified theory of chaos linking nonlinear dynamics and statistical physics

Nonlinear Sciences – Chaotic Dynamics
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A unified treatment of cubic invariants at fixed and arbitrary energy

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A unified treatment of quartic invariants at fixed and arbitrary energy

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A Uniform Approximation for the Fidelity in Chaotic Systems

Nonlinear Sciences – Chaotic Dynamics
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A unifying definition of synchronization for dynamical systems

Nonlinear Sciences – Chaotic Dynamics
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A Universal Map for Fractal Structures in Weak Solitary Wave Interactions

Nonlinear Sciences – Chaotic Dynamics
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A variational approach for the Quantum Inverse Scattering Method

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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A variational approach to Schroedinger equation with parity-time symmetry Gaussian complex potential

Nonlinear Sciences – Pattern Formation and Solitons
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