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Proceedings of the International Conference on Atomic, Molecular, Optical & Nano Physics with Applications [E-Book] : CAMNP 2019 /
Table of Contents: .../zinc oxide nanocomposites synthesized by different methods -- Investigation of azo as an alternative to ito for cathode material in organic solar cells -- Jacobi elliptic functions and their application in ultra-cold atomic gases -- Analysis of multimode...

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The Development of the Action Principle [E-Book] : A Didactic History from Euler-Lagrange to Schwinger /
Table of Contents: ...Short Historical Introduction -- Curva Elastica -- The Curva Elastica, a Curve of Least Energy -- From Euler to Lagrange -- Laplace and the Capillary - 1807 -- A Final Application in Elasticity with Jacobi Elliptic Functions -- Short List of Jacobi...

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The Painlevé Handbook [E-Book] /
Table of Contents: ... of the elliptic functions. D. Basic introduction to the Nevanlinna theory. E. The bilinear formalism. F. Algorithm for computing the Laurent series. Index....

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Nonlinear Dynamics [E-Book] : Integrability, Chaos and Patterns /
Table of Contents: ... Waves -- 12. Korteweg—de Vries Equation and Solitons -- 13. Basic Soliton Theory of KdV Equation -- 14. Other Ubiquitous Soliton Equations -- 15. Spatio-Temporal Patterns -- 16. Nonlinear Dynamics: From Theory to Technology -- A. Elliptic Functions...

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Classical Many-Body Problems Amenable to Exact Treatments [E-Book] : (Solvable and/or Integrable and/or Linearizable...) in One-, Two- and Three-Dimensional Space /
Table of Contents: ... and/or Integrable Many-Body Problems in the Plane, Obtained by Complexification -- Many-Body Systems in Ordinary (Three-Dimensional) Space: Solvable, Integrable, Linearizable Problems -- Appendices: A: Elliptic Functions -- B: Functional Equations -- C: Hermite...

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Statistical Mechanics of Lattice Systems [E-Book] : Volume 1: Closed-Form and Exact Solutions /
Table of Contents: ... Elliptic Integrals and Functions -- A.2.1 Elliptic Integrals -- A.2.2 Elliptic Functions -- A.2.3 Results Required for Chapter 8 -- A.3 The Water Molecule and Hydrogen Bonding -- A.4 Results for the Six-Vertex Model -- A.4.1 The Proof of I -- A.4.2 The Proof...

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Global Aspects of Classical Integrable Systems [E-Book] /
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Analytical Techniques of Celestial Mechanics [E-Book] /
Table of Contents: ... Processor in Poisson-Series Form -- 2.3 General Terms of the Elliptic-Motion Expansions -- 2.4 The Keplerian Processor in Taylor-Series Form -- 2.5 The Keplerian Processor with the Aid of Elliptic Functions -- 2.6 Functions Involving the Coordinates of Two Bodies...

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Classical Dynamics and Its Quantum Analogues [E-Book] /
Table of Contents: .... Orbits of Particles -- 2.1 Ehrenfest’s Theorems -- 2.2 Oscillators and Pendulums -- 2.3 Interlude on Elliptic Functions -- 2.4 Driven Oscillators -- 2.5 A Driven Anharmonic Oscillator -- 2.6 Quantized Oscillators -- 2.7 Coherent States -- 3. Lagrangian...

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Partially Intergrable Evolution Equations in Physics [E-Book] /
Table of Contents: ... of PDE Painlevé analysis -- The nonlocal amplitude equation -- Pressure waves in fluid-filled nonlinear viscoelastic tubes -- Elliptic function solutions for Landau-Ginzburg equation -- Application of a Macsyma program for the Painlevé test to the Fitzhugh...

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New Foundations for Classical Mechanics [E-Book] /
Table of Contents: .... Modeling Processes -- Appendixes -- A Spherical Trigonometry -- B Elliptic Functions -- C Units, Constants and Data -- Hints and Solutions for Selected Exercises -- References....

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