Baecklund transformations, the inverse scattering method, solitons, and their applications

A novel nonlinear evolution equation integrable by the inverse scattering method
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wp.davincisalute.com/heaven-the-novel.php Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications. Proceedings of the NSF Research Workshop on Contact. Backlund Transformations, the Inverse Scattering Method, Solitons, and Their Applications [Robert M.;National Science Foundation (U.S.) Miura] on.

Zeros of polynomials, solvable dynamical systems and generations of polynomials. Vladimir Rosenhaus, Ravi Shankar. Sine-Gordon field theory vs.

Background

Matsuo-Cherednik type correspondence and quantum-classical duality of integrable systems. Dressing networks: towards an integrability approach to collective and complex phenomena.

Baecklund and Darboux transformations

Superintegrable 3D systems in a magnetic field corresponding to Cartesian separation of variables. On a direct algoritm for constructing recursion operators and Lax pairs for integrable models. Nonlocal symmetries of integrable linearly degenerate equations: a comparative study. Simonetta Abenda, Petr G Grinevich. Separation of variables in anisotropic models and non-skew-symmetric elliptic r-matrix. Solitons and their interactions in the PT-symmetric nonlocal nonlinear Schrodinger models. Sonia Boscolo, Christophe Finot. Integrable discretisation of hodograph-type systems, hyperelliptic integrals and Whitham equations.

Solitons and spin waves in the spiral structure of magnets. Jeremy Schiff, Alexander Rasin.

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Extensions of integrable systems via deformations of binary Darboux transformations. Dunkl--Cherednik operators and quantum Lax pairs. On a discretization of confocal quadrics: Geometric parametrizations, integrable systems and incircular nets.

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  2. Backlund and Darboux Transformations. The Geometry of Solitons?
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  4. Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their - Google книги.
  5. Introduction.
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  7. Backlund transformations via gauge transformations in 2+1 dimensions?

Higher-order partial differential equations for description of the Fermi-Pasta-Ulam and the Kontorova-Frenkel models. Soliton hierarchy with self-consistent sources: inverse scattering method and Darboux transformation. Faddeev and his laboratory.

Baecklund and Darboux transformations - PDF Free Download

Analytic description of the exact rogue wave recurrence in the periodic NLS Cauchy problem. Conservation laws, symmetries, and exact solutions of generalized KP and Boussinesq equations in two dimensions. Solving the generalized Jacobi inversion problem by means of degenerate multivariative sigma-function. New findings on Perlick system I: from the algebra of symmetries to the geometry of the orbits. Ercolani: Backlund transformations for the reduced Maxwell-Bloch equations. Ferapontov: Transformations of quasilinear systems originating from the projective theory of congruences.

Ferapontov and A. Grundland: Backlund links between different analytic descriptions of constant mean curvature surfaces.

Finkel: On the integrability of Weingarten surfaces. Finkel and A. Fokas: A new immersion formula for surfaces on Lie algebras and integrable equations. Havlicek, S.

Bäcklund Transformation

Posta, and P. Winternitz: Superposition formulas based on nonprimitive group action. Heredero, D. Levi, M. Rodriguez, and P. Winternitz: Symmetries of differential difference equations and Lie algebra contractions.

Introduction

Hietarinta: Backlund transformations from the bilinear viewpoint. Hlavaty: Towards the Lax formulation of SU 2 principal models with nonconstant metric. Hoenselaers and S. Micciche: Transcendental solutions of the sine-Gordon equation. Ioannidou, B. Piette, and W.

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  • A new class of integrable systems and its relation to solitons.
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Zakrzewski: Three dimensional skyrmions and harmonic maps. Konopelchenko and G. Landolfi: Induced surfaces and their integrable deformations. Kovalyov: Properties of a class of slowly decaying oscillatory solutions of KdV. Lafortune, A. Ramani, B.

NSF Research Workshop on Contact Transformations

Ferapontov and A. Such a solution is the limiting case of an ordinary 2-soliton solution in which the asymptotic solitons satisfy the resonance condition. After careful calculations, we get the following relations:. Strampp and K. Post-publication activity Curator: Dmitry Pelinovsky Contributors:.

Grammaticos, Y. Ohta, and K. Tamizhmani: Blending two discrete integrability criteria: Singularity confinement and algebraic entropy. Ma and X. Geng: Backlund transformations of soliton systems from symmetry constraints. Mathieu: Open problems for the super KdV equations.

Inverse Scattering

Milson: Combinatorial aspects of the Darboux transformation.