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3 edition of **Topics in soliton theory and exactly solvable nonlinear equations** found in the catalog.

Topics in soliton theory and exactly solvable nonlinear equations

Conference on Nonlinear Evolution Equations, Solitons, and the Inverse Scattering Transform (1986 Oberwolfach, Germany)

- 249 Want to read
- 15 Currently reading

Published
**1987** by World Scientific in Singapore .

Written in English

- Nonlinear theories -- Congresses.,
- Solitons -- Congresses.

**Edition Notes**

Includes bibliographies.

Other titles | Nonlinear evolution equations, solitons and the inverse scattering transform. |

Statement | edited by M. Ablowitz, B. Fuchssteiner, M. Kruskal. |

Contributions | Ablowitz, Mark J., Fuchssteiner, Benno., Kruskal, Martin D. 1925- |

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

Pagination | vii, 342 p. ; |

Number of Pages | 342 |

ID Numbers | |

Open Library | OL17918545M |

ISBN 10 | 9971502534 |

BASIC METHODS OF SOLITON THEORY ADVANCED SERIES IN MATHEMATICAL PHYSICS Editors-in-Charge H Araki {RIMS, Kyoto) V G Kac (MIT) D H Phong (Columbia University) S-T Yau (Harvard University) Associate Editors L Alvarez-Gaume (CERN) J P Bourguignon (Ecole Polytechnique, Palaiseau) T Eguchi (University of Tokyo) B Julia (CNRS, Paris) F Wilczek (Institute for Advanced .

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Topics in Soliton Theory and Exactly Solvable Nonlinear Equations: Proceedings of the Conference on Nonlinear Evolution Equations, Solitons and the Inverse Scattering Transform. Singapore: World Scientific Publishing Co Pte Ltd, © Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors.

Topics in Soliton Theory and Exactly Solvable Nonlinear Equations - Proceedings of the Conference on Nonlinear Evolution Equations, Solitons and the Inverse Scattering Transform by Mark J Ablowitz (Editor), Benno Fuchssteiner (Editor), M Kruskal (Editor) & 0 moreAuthor: Mark J Ablowitz.

Topics in Soliton Theory and Exactly Solvable Nonlinear Equations: Proceedings of the Conference on Nonlinear Evolution Equations, Solitons and the Inverse Scattering Transform M. Ablowitz, B. Fuchssteiner and. Topics in Soliton Theory and Exactly Solvable Nonlinear Equations, pp.

() No Access Topics in Soliton Theory and Exactly Solvable Nonlinear Equations Proceedings of the Conference on Nonlinear Evolution Equations, Solitons and the Inverse Scattering Transform.

Get this from a library. Topics in soliton theory and exactly solvable nonlinear equations: proceedings of the Conference on Nonlinear Evolution Equations, Solitons and the Inverse Scattering Transform, Oberwolfach, Germany, July August 2, [Mark J Ablowitz; Benno .English, Book edition: Topics in soliton theory and exactly solvable nonlinear equations: proceedings of the Conference on Nonlinear Evolution Equations, Solitons and the Inverse Scattering Transform, Oberwolfach, Germany, July August 2, / edited by.

Education. Ablowitz received his Bachelor of Science degree in Mechanical Engineering from University of Rochester, [when?] and completed his Ph.D. in Mathematics under the supervision of David Benney at Massachusetts Institute of Technology in Career and research.

Ablowitz was an assistant professor of Mathematics at Clarkson University during – and an associate professor Alma mater: University of Rochester (BS). Since then the soliton theory has been advancing rapidly and the IST as well as other methods in the theory have become most powerful tools for solving large class of nonlinear evolution equations (NEEs) including some of physically interesting ones, (usually, the NEEs possessing soliton solutions are called soliton equations).Author: Yi Cheng, Yi-shen Li.

Book Chapters and Conference Papers. Exactly Solvable Multidimensional Nonlinear Equations and Inverse Scattering, M.J. Ablowitz, in Topics in Soliton Theory and Exactly Solvable Nonlinear Equations, ppEds.

M.J. Ablowitz, M.D. Kruskal and B. Fuchssteiner. Nonlinear algebraic equations, which are also called polynomial equations, are defined by equating polynomials (of degree greater than one) to zero.

For example, + −. For a single polynomial equation, root-finding algorithms can be used to find solutions to the equation (i.e., sets of values for the variables that satisfy the equation).

However, systems of algebraic equations are more. Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 26) Abstract We study nonintegrable effects appearing in the higher order corrections of an asymptotic perturbation expansion for a given nonlinear wave equation, and show that the analysis of the higher order terms provides a sufficient Cited by: Classical And Quantum Field Theory Of Exactly Soluble Nonlinear Systems - Ebook written by Garbaczewski Piotr.

Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Classical And Quantum Field Theory Of Exactly Soluble Nonlinear Systems.

This book is about algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions; also known as soliton equations.

The Hirota bilinear method is applied to find an exact shock soliton solution of the system reaction–diffusion equations for n-component vector order parameter, with the reaction part in form of. With the purpose of clarifying some aspects of the complete integrability of nonlinear field equations, Book Search tips Selecting this option will search all publications across the Scitation platform Selecting this option will search all in Topics in Soliton Theory and Exactly Solvable Nonlinear Equations, edited by M.

Ablowitz, B Cited by: Glimpses of Soliton Theory addresses some of the hidden mathematical connections in soliton theory which have been revealed over the last half-century.

It aims to convince the reader that, like the mirrors and hidden pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant and surprisingly. Solitons, nonlinear evolution equations and inverse scattering M. Ablowitz, P.

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Topics. Topics Partial differential equations In those cases the most general exactly solvable nonlinear equations turn out to be the Burgers equation and a new third‐order evolution equation which contains the Korteweg‐de Vries “Application of Spectral‐Gradient Methods to Nonlinear Soliton Equations” (preprint).Cited by: Thus, at least for moderate times, one can determine the effects of small dissipations, relaxations, etc., on the evolution of these exactly solvable nonlinear evolution equations, and in particular, the effects on the soliton by: Nonlinear Dynamics: From Theory to Technology.- Chaotic Cryptography.- Basic Idea of Cryptography.- An Elementary Chaotic Cryptographic System.- Using Chaos (Controlling) to Calm the Web.- Some Other Possibilities of Using Chaos.- Communicating by Chaos.- Chaos and Financial Markets.- Optical Author: Muthusamy Lakshmanan.

Topics in soliton theory and exactly solvable nonlinear equations. x+x+ ; IST IN 1 + 1 AND 2 + 1 (AND ''1 + 0'') DIMENSIONS. Physica D: Nonlinear Phenomena. ; NONLINEAR EVOLUTION EQUATIONS - CONTINUOUS AND DISCRETE.

SIAM. Envelope solitary waves, kink solitons, and other new species were discovered, each solving an inverse-scattering-solvable generic partial differential equation in (usually) one space dimension. For a time, it seemed that the inverse-scattering method was the algorithm for everything.

Curriculum Vitae Mark Ablowitz Professor and Chair, Department of Applied Mathematics, University of Colorado at Boulder Solitons, Nonlinear Evolution Equations and Inverse Scattering, M.J.

Ablowitz and P.A. Clarkson, Lon- Topics in Soliton Theory and Exactly Solvable Nonlinear Equations, Eds. M.J. Ablowitz, B. Fuchssteiner. On the exactly solvable equation s t =[ Kudryashov, N.

A., Analytical Theory of Nonlinear Differential Equations [in Russian], Institut kompjuternyh issledovanii, V. F., Handbook of Nonlinear Partial Differential Equations, 1st ed., Chapman Hall/CRC Press, Boca Raton, Book Description. Nonlinear Systems and Their Remarkable Mathematical Structures aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete).

Written by experts, each chapter is self-contained and aims to clearly illustrate some of the mathematical theories of nonlinear systems. Nonlinear Evolution Equations and Dynamical Systems It seems that you're in USA.

We have a dedicated Exactly Solvable Nonlinear Evolution Equations Expressed by Trilinear Form. Nonlinear Evolution Equations and Dynamical Systems Book Subtitle Needs ’90 Editors. Analytically exactly solvable classes of equations are identified.

The text also discusses consequences of Lie algebraic properties of Hamiltonians, such as the classification of their states as coherent, classical or non-classical based on the generalized uncertainty relation. The soliton solution (72) indicates that the characteristic half width of an internal soliton is a key parameter, which determines the shape and the amplitude of the soliton.

In this section, we present theories and methods for determining the characteristic half width of internal soliton from a SAR image (Zheng et al., b).An analytical solution of a single ocean internal soliton SAR image. The Riemann-Hilbert Problem and Integrable Systems Alexander R. Its I n its original setting, the Riemann-Hilbertproblem is the question of surjectivity of the monodromy map in the theory of Fuchsian systems.

An N×N linear system of differential equa-tions (1) dΨ(λ) dλ = A(λ)Ψ(λ) is called Fuchsianif the N×N coefficient matrix. The Internet Archive offers o, freely downloadable books and texts.

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The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the field.

It has applications in the weakened 16th Hilbert problem and in mixed Hodge structures. There is a deep connection of monodromy theory with Galois theory of differential equations and algebraic functions. In covering these and other topics, this book underlines the unifying role of the monogropy group.

(source: Nielsen Book Data). Summary. Nonlinear Systems and Their Remarkable Mathematical Structures aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete).

Written by experts, each chapter is self-contained and aims to clearly illustrate some of the mathematical theories of nonlinear systems. Real Algebraic Varieties and Related Topics K.

Nomizu, Editor, Selected Papers on Number Theory and Algebraic Geometry L. Bunimovich, B. Gurevich, and Ya. Pesin, Editors, Sinai's Moscow Seminar on Dynamical Systems S. Novikov, Editor, Topics in Topology and Mathematical Physics.

Nonlinear differential equations. The research on nonlinear differential equations primarily studies algorithms for their classification, normal forms, symmetry reductions and exact solutions.

Boundary value problems are studied from an analytical viewpoint, using functional analysis and spectral theory to investigate properties of solutions.

Fu, Wei and Nijhoff, Frank W. Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol.Issue. p. Cited by: arXiv:solv-int/v1 24 Oct ´ APPROACH TO NONLINEAR ORDINARY THE PAINLEVE DIFFERENTIAL EQUATIONS R.

Conte Service de physique de l’´etat condens´e Commissariat ` a l’´energie atomique, Saclay F– Gif-sur-Yvette Cedex Proceedings of the Carg`ese school (3–22 June ) La propri´et´e de Painlev´e, un si`ecle apr`es The Painlev´e property, one century later. () Transitions from strongly to weakly-nonlinear dynamics in a class of exactly solvable oscillators and nonlinear beat phenomena.

Nonlinear Dynamics() Solitons in dispersion-managed mode-locked by:. • Characterize soliton solutions to nonlinear, diffusive wave equations. • Solve certain nonlinear partial differential equations using the inverse scattering transform.

• Apply techniques such as the Euler method, the Runge-Kutta method, or finite difference methods to calculate numerical solutions to nonlinear differential equations.Coherent states for exactly solvable time-dependent oscillators generated by Darboux transformations S.

Cruz y Cruz 1, R. Razo, O. Rosas-Ortiz∗ 2, and K. Zelaya;3 1 Instituto Polit ecnico Nacional, UPIITA, Av I.P.NC.P.M exico City, MexicoCited by: 3.Partial Differential Equations and Solitary Waves Theory is designed to serve as a text and a reference.

The book is designed to be accessible to advanced undergraduate and beginning graduate students as well as research monograph to researchers in applied mathematics, science and engineering.