6 edition of **Algebro-Geometrical Approach to Nonlinear Evolution Equations (Springer Series in Nonlinear Dynamics)** found in the catalog.

- 226 Want to read
- 24 Currently reading

Published
**February 28, 1994** by Springer-Verlag Berlin and Heidelberg GmbH & Co. K .

Written in English

- Differential & Riemannian geometry,
- Mathematics for scientists & engineers,
- Inverse scattering transform,
- Mathematical physics,
- Differential equations, Nonlin,
- Numerical solutions

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 350 |

ID Numbers | |

Open Library | OL9058199M |

ISBN 10 | 3540502653 |

ISBN 10 | 9783540502654 |

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- Buy Algebro-Geometric Approach to Nonlinear Integrable Equations (Springer Series in Nonlinear Dynamics) book online at best prices in India on Read Algebro-Geometric Approach to Nonlinear Integrable Equations (Springer Series in Nonlinear Dynamics) book reviews & author details and more at Free delivery on qualified : Eugene D.

Belokolos, Victor Enol’skii, Alexander R. Its. By using an iterative algebraic method, we derive from a spectral problem a hierarchy of nonlinear evolution equations associated with dispersive long wave equation. It is shown that the hierarchy is integrable in Liouville sense and possesses bi-Hamiltonian : Engui Fan.

Formal modulation equations governing slow evolution of (g + 1)-phase wave trains are developed, and a gauge invariance is used to simplify the equations in the focusing and defocusing cases. Book Search tips Selecting this option will search all publications across the Scitation AKNS and NLS hierarchies, MRW solutions, P n breathers, and beyond Bobenko, A.

I., Enol’skii, V. Z., Its, A. R., and Matveev, V. B., Algebro-Geometrical Approach to Nonlinear Evolution Equations, Springer Series in Nonlinear Cited by: 9. The algebro-geometrical approach presents quasi-periodic or algebro-geometric solutions to many soliton equations, which were originally obtained.

The Whitham approach is a well-studied method to describe non-linear integrable systems. Although approximate in nature, its results may predict rather accurately the time evoluti. An eigenvalue problem with a reference function and the corresponding hierarchy of nonlinear evolution equations are proposed.

The bi-Hamiltonian structure of the hierarchy is established by using the trace identity. The isospectral problem is nonlinearized as to be finite-dimensional completely integrable. Algebraization follows through the introduction of coordinates.

For a class of phenomena, this algebro-geometrical description leads to the usual Hankel based system realization procedures, and the geometrical methods of canonical correlations and principal component analysis follow “naturally” in this framework.

Bifurcation and Chaos presents a collection of especially written articles describing the theory and application of nonlinear dynamics to a wide variety of problems encountered in physics and engineering. Each chapter is self-contained and includes an elementary introduction, an exposition of the present state of the art, and details of recent.

We propose interconnections between some problems of PDE, geometry, algebra, calculus and physics. Uniqueness of a solution of the Dirichlet problem and of some other boundary value problems for the string equation inside an arbitrary biquadratic algebraic curve is considered.

It is shown that a solution is non-unique if and only if a corresponding Poncelet problem for two Cited by: 1. Enolskii, "Reduction g-gap solutions of equations integrable in Riemann theta functions to lower genera," In: Proc. of the IInd Workshop on Nonlinear and Turbulent Processes in Physics, New York (), pp.

Cited by: A Hele-Shaw flow of an algebraic domain is then understood as the evolution of a meromorphic differential d Ω = S (z) d z. The properties described above can be cast as algebro-geometrical properties of an algebraic curve: 1.

the complex curve is real; 2. the condition that all densities are real yields (63) Re ∮ d Ω = 0, for all cycles in Cited by: 8. The method of finite-gap integration was created to solve the periodic KdV initial problem.

Its development during last 30 years, combining the spectral theory of differential and difference operators with periodic coefficients, the algebraic geometry of compact Riemann surfaces and their Jacobians, the Riemann theta functions and inverse problems, had a strong impact on the evolution Cited by: @article{osti_, title = {Shocks and finite-time singularities in Hele-Shaw flow}, author = {Teodorescu, Razvan and Wiegmann, P and Lee, S-y}, abstractNote = {Hele-Shaw flow at vanishing surface tension is ill-defined.

In finite time, the flow develops cusplike singularities. We show that the ill-defined problem admits a weak dispersive solution when singularities give rise.

We study singularity formation in the lubrication model for the unforced Hele-Shaw system, describing the breaking in two of a fluid droplet confined between two narrowly spaced glass plates.

By varying the initial data, we exhibit four different. Fundamental Concepts and Examples.- 8 Two-person Zero-sum Games: Theorems of Von Neumann and Ky Fan.- 9 Solution of Nonlinear Equations and Inclusions.- 10 Introduction to the Theory of Economic Equilibrium.- 11 The Von Neumann Growth Model.- 12 n-person Games.- 13 Cooperative Games and Fuzzy Games.- 14 Exercises.- 15 Statements of Problems.

Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1 Conformal Field Theories and Integrable Models: Lectures Held at the Eötvös Graduate Course, Budapest, Hungary, 13–18 August Numerical Approximation of Model Partial Differential Equations.-Nonlinear Differential Equations: Application to Chemical Kinetics.- Integrable Systems Classical Integrable Models Quantum Integrable Models Equations Algebro-geometrical and discusses some of their shortcomings compared to the Bayesian approach.

The aim. are the simplest universal models of the propagation of a quasi-monochromatic wave in a weakly non-linear medium. In particular, they are relevant in water waves ([], []), in non-linear optics ([], [], []), in Langmuir waves in a plasma [], and in the theory of Bose–Einstein condensates ([], []).For instance, in a non-linear optics interpretation is the complex amplitude of the electric Cited by: 9.

Differential forms satisfying the A-harmonic equations have found wide applications in fields such as general relativity, theory of elasticity, quasiconformal analysis, differential geometry, and nonlinear differential equations in domains on manifolds. Full text of "DTIC ADA Transactions of the Army Conference on Applied Mathematics and Computing (7Th) Held in West Point, New York on June " See other formats.

We prove that the superlinear indefinite equation u" + a(t)up = 0, where p \> 1 and a(t) is a T-periodic sign-changing function satisfying the (sharp) mean value condition ∫0Ta(t)dt \. ITEP/TH/06 Introduction to Non-Linear Algebra n and v ITEP, Moscow, Russia ABSTRACT arXiv:hep-th/ v2 5 Sep Concise introduction to a relatively new subject of non-linear algebra: literal extension of text-book linear algebra to the case of non-linear equations and maps.

This book provides a thorough introduction to the theory of classical integrable systems, discussing the various approaches to the subject and explaining their interrelations. The book begins by introducing the central ideas of the theory of integrable systems, based on Lax representations, loop groups and Riemann surfaces.

This approach is different from all other authors who assumed that the rotational part is finite. This result was published later (it was included in the article of Le Thang, hin, published in the Russian Mathematical Surveys (), vol.

48 n1, ppwhere symmetry theory for Quasi-Cristals was developed by Piunikhin). espdf - Free ebook download as PDF File .pdf), Text File .txt) or read book online for free.

science. Canonical structure and symmetries of the Schlesinger equations_专业资料 50人阅读|4次下载. Canonical structure and symmetries of the Schlesinger equations_专业资料。Read: Full text of "v-arnold-mathematical-methods-of-classical-mechanics" See other formats. The Lie Algebra here involved is the same algebra underlying the NLS hierarchy.

We study the structural properties of the CH2 hierarchy within the bihamiltonian theory of integrable PDEs, and provide its Lax representation. Then we explicitly discuss how to construct classes of solutions, both of peakon and of algebro-geometrical : es14 - Free ebook download as PDF File .pdf), Text File .txt) or read book online for free.

science. INDIISpringerSeriesinNonlinearDynamicsINDIISpringerSeriesinNonlinearDynamicsSeriesEditors:ovSolitons.