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Nonlinear Evolution Equations and Dynamical Systems 2007 |
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Papers resulting from the NEEDS-07 workshop held in L'Ametlla Mar, Spain |
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Edited by: David Gomez–Ullate Oteiza, Andrew Hone, Sara Lombardo, Joaquim Puig i Sadurni |
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Foreword: 00_needs_foreword.pdf
(3144 K) |
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1. |
Quantum Integrability of the Dynamics on a Group Manifold - article |
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V Aldaya, M Calixto, J Guerrero, F F Lopez-Ruiz |
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Pages 1 - 12 |
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01_Needs-Aldaya.pdf
(85 K)
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2. |
Existence of Periodic Solutions of a Type of Nonlinear Impulsive Delay Differential Equations with a Small Parameter - article |
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Jehad O Alzabut |
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Pages 13 - 21 |
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02_NEEDS_Alzabut.pdf
(66 K)
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3. |
Boundary Algebra and Exact Solvability of the Asymmetric Exclusion Process - article |
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Boyka Aneva |
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Pages 22 - 33 |
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03_NEEDS_aneva.pdf
(84 K)
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4. |
Solutions of Adler's Lattice Equation Associated with 2-Cycles of the Bäcklund Transformation - article |
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James Atkinson, Frank Nijhoff |
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Pages 34 - 42 |
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Details
04_needs_atkinson.pdf
(69 K)
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5. |
Superintegrable Anharmonic Oscillators on N-dimensional Curved Spaces - article |
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Angel Ballesteros, Alberto Enciso, Francisco José Herranz, Orlando Ragnisco |
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Pages 43 - 52 |
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Details
05_NEEDS_Ballesteros.pdf
(71 K)
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6. |
The Motion of a Gyrostat in a Central Gravitational Field: Phase Portraits of an Integrable Case - article |
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M. C. Balsas, E. S. Jiménez, J. A. Vera |
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Pages 53 - 64 |
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Details
06_NEEDS_Balsas.pdf
(362 K)
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7. |
Existence of Dark Soliton Solutions of the Cubic Nonlinear Schrödinger Equation with Periodic Inhomogeneous Nonlinearity - article |
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Juan Belmonte-Beitia, Pedro J Torres |
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Pages 65 - 72 |
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Details
07_NEEDS_Belmonte.pdf
(67 K)
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8. |
Nonlinear-Integral-Equation Construction of Orthogonal Polynomials - article |
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Carl M. Bender, E. Ben-Naim |
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Pages 73 - 80 |
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Details
08_NEEDS_Bender.pdf
(54 K)
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9. |
Symmetry Analysis and Solutions for a Generalization of a Family of BBM Equations - article |
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M.S. Bruzon, M. L. Gandarias, J. C. Camacho |
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Pages 81 - 90 |
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Details
09_NEEDS_Bruzon.pdf
(109 K)
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10. |
Coupling Nonlinear Sigma-Matter to Yang-Mills Fields: Symmetry Breaking Patterns - article |
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M. Calixto, V. Aldaya, F. F. Lopez-Ruiz, E. Sanchez-Sastre |
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Pages 91 - 101 |
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Details
10_Needs-Calixto.pdf
(84 K)
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11. |
Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators - article |
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Acilina Caneco, Clara Gracio, J. Leonel Rocha |
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Pages 102 - 111 |
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Details
11_NEEDS_Caneco.pdf
(7717 K)
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12. |
Remarks on the Waterbag Model of Dispersionless Toda Hierarchy - article |
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Jen-Hsu Chang |
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Pages 112 - 123 |
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Details
12_NEEDS_Chang.pdf
(80 K)
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13. |
Approximation of Solitons in the Discrete NLS Equation - article |
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Jesus Cuevas, Guillaume James, Panayotis G. Kevrekidis, Boris A. Malomed, Bernardo Sanchez-Rey |
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Pages 124 - 136 |
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Details
13_Needs_Cuevas.pdf
(532 K)
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14. |
Interchannel Soliton Collisions in Periodic Dispersion Maps in the Presence of Third Order Dispersion - article |
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Francisco J. Diaz-Otero, Pedro Chamorro-Posada |
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Pages 137 - 143 |
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Details
14_NEEDS_Diaz-Otero.pdf
(119 K)
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15. |
Evolution of Kink Network in Inhomogenous Systems - article |
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T Dobrowolski, P. Tatrocki |
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Pages 144 - 154 |
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Details
15_NEEDS_Dobrowolski.pdf
(143 K)
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16. |
Partially Solvable Spin Chains and QES Spin Models - article |
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A. Enisco, F. Finkel, A. Gonzalez-Lopez, M.A. Rodriguez |
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Pages 155 - 165 |
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Details
16_NEEDS_Enciso.pdf
(82 K)
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17. |
Lump Solutions for PDE's: Algorithmic Construction and Classification - article |
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P.G. Estévez, J. Prada |
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Pages 166 - 175 |
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Details
17_NEEDS_Estevez.pdf
(65 K)
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18. |
Harmonic Maps Between Noncompact Manifolds - article |
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Anestis Fotiadis |
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Pages 176 - 184 |
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18_NEEDS_Fotiadis.pdf
(64 K)
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19. |
Nonclassical Potential System Approach for a Nonlinear Diffusion Equation - article |
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M. L. Gandarias, M. S. Bruzon |
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Pages 185 - 196 |
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Details
19_NEEDS_Gandarias.pdf
(71 K)
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20. |
On the Caudrey-Beals-Coifman System and the Gauge Group Action - article |
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Georgi G. Grahovski, Marissa Condon |
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Pages 197 - 208 |
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20_NEEDS_Grahovski.pdf
(103 K)
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21. |
Solitary Waves in a Madelung Fluid Description of Derivative NLS Equations - article |
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Dan Grecu, Alexandru Tudor Grecu, Anca Visinescu, Renato Fedele, Sergio De Nicola |
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Pages 209 - 219 |
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Details
21_NEEDS-Grecu.pdf
(72 K)
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22. |
Justification of an Asymptotic Expansion at Infinity - article |
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Leonid Kalyakin |
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Pages 220 - 226 |
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Details
22_NEEDS_Kalyakin.pdf
(55 K)
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23. |
Corrugated Surfaces with Slow Modulation and Quasiclassical Weierstrass Representation - article |
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B. G. Konopelchenko |
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Pages 227 - 236 |
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Details
23_NEEDS_Konopelchenko.pdf
(67 K)
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24. |
Changing Solitons in Classical & Quantum Integrable Defect and Variable Mass Sine-Gordon Model - article |
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Anjan Kundu |
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Pages 237 - 250 |
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Details
24_NEEDS_kundu.pdf
(1284 K)
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25. |
Fedosov Quantization in White Noise Analysis - article |
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Rémi Léandre |
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Pages 251 - 263 |
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Details
25_NEEDS_Leandre.pdf
(86 K)
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26. |
Continuous and Discontinuous Piecewise Linear Solutions of the Linearly Forced Inviscid Burgers Equation - article |
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Hans Lundmark, Jacek Szmigielski |
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Pages 264 - 276 |
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Details
26_NEEDS_Lundmark.pdf
(106 K)
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27. |
A Common Integrable Structure in the Hermitian Matrix Model and Hele-Shaw Flows - article |
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L. Martinez Alonso, E. Medina |
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Pages 277 - 287 |
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27_NEEDS_Martinez-Alonso.pdf
(75 K)
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28. |
Hopf Bifurcations in a Watt Governor with a Spring - article |
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Jorge Sotomayor, Luis Fernando Mello, Denis de Carvalho Braga |
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Pages 288 - 299 |
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28_NEEDS_Mello.pdf
(114 K)
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29. |
Integrating Factors and - Symmetries - article |
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C. Muriel, J. L. Romero |
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Pages 300 - 309 |
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29_NEEDS_Muriel.pdf
(69 K)
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30. |
The Sato Grassmannian and the CH Hierarchy - article |
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Gregorio Falqui, Giovanni Ortenzi |
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Pages 310 - 322 |
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30_NEEDS_Ortenzi.pdf
(94 K)
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31. |
Multiscale Expansion and Integrability Properties of the Lattice Potential KdV Equation - article |
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Rafael Hernandez Heredero, Decio Levi, Matteo Petrera, Christian Scimiterna |
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Pages 323 - 333 |
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31_NEEDS_Petrera.pdf
(103 K)
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32. |
The Klein-Gordon Equation on the Half Line: a Riemann-Hilbert Approach - article |
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Beatrice Pelloni, Dimitrios A. Pinotsis |
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Pages 334 - 344 |
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32_NEEDS_Pinotsis.pdf
(77 K)
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33. |
On Differential Operators on Sequence Spaces - article |
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M. Maldonado, J. Prada, M.J. Senosiain |
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Pages 345 - 352 |
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33_NEEDS_Prada.pdf
(59 K)
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34. |
Where Do Braid Statistics and Discrete Motion Meet Each Other? - article |
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Luigi Martina, Alexander Protogenov, Valery Verbus |
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Pages 353 - 361 |
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34_NEEDS_Protogenov.pdf
(83 K)
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35. |
Symmetry Preserving Discretization of SL(2,R) Invariant Equations - article |
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Anne Bourlioux, Raphaël Rebelo, Pavel Winternitz |
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Pages 362 - 372 |
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35_NEEDS_Rebelo.pdf
(118 K)
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36. |
New Quasi-Exactly Solvable Difference Equation - article |
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Ryu Sasaki |
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Pages 373 - 384 |
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36_NEEDS_Sasaki.pdf
(97 K)
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37. |
Lift of Invariant to Non-Invariant Solutions of Complex Monge-Ampère Equations - article |
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M. B. Sheftel, A. A. Malykh |
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Pages 385 - 395 |
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37_NEEDS_Sheftel.pdf
(71 K)
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38. |
The Point of Maximum Curvature as a Marker for Physiological Time Series - article |
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James Robert Stirling, Maria Zakynthinaki |
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Pages 396 - 406 |
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38_NEEDS_Stirling.pdf
(134 K)
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39. |
On the Origin of Fractional Shapiro Steps in Systems of Josephson Junctions with Few Degrees of Freedom - article |
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A Valizadeh, M. R. Kolahchi, J. P. Straley |
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Pages 407 - 416 |
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39_NEEDS_Valizadeh.pdf
(128 K)
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40. |
Symmetry Reductions of Second Heavenly Equation and 2+1-Dimensional Hamiltonian Integrable Systems - article |
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D. Yazici, M. B. Sheftel |
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Pages 417 - 425 |
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40_NEEDS_Yacizi.pdf
(62 K)
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41. |
A Model of Heart Rate Kinetics in Response to Exercise - article |
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James Robert Stirling, Maria Zakynthinaki, Ignacio Refoyo, Javier Sampedro |
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Pages 426 - 436 |
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41_NEEDS_zakynthinaki.pdf
(175 K)
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42. |
Combination of Inverse Spectral Transform Method and Method of Characteristics: Deformed Pohlmeyer Equation - article |
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A. I. Zenchuk |
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Pages 437 - 448 |
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Details
42_NEEDS_Zenchuk.pdf
(82 K)
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