4 edition of **The small dispersion limit of the Korteweg-deVries equations.** found in the catalog.

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Published
by Courant Institute of Mathematical Sciences, New York University in New York
.

Written in English

**Edition Notes**

Statement | By Peter D. Lax and C. David Levermore. |

Contributions | Lax, Peter D., Levermore, C. David |

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

Pagination | p. |

ID Numbers | |

Open Library | OL17867190M |

The Small Dispersion Limit of the Korteweg-DeVries Equations: C. David Levermore, Peter D. Lax: Books - or: C. David Levermore, Peter D. Lax. Find many great new & used options and get the best deals for The Small Dispersion Limit of the Korteweg-DeVries Equations by Peter D. Lax and C. David Levermore (, Trade Paperback) at the best online prices at eBay! Free shipping for many products!

The Small Dispersion Limit of the Korteweg-Devries Equation Published. Conference Paper. Full Text. Link to Item; Duke Authors. Venakides, Stephanos; Cited Authors. Venakides, S Published Date. Published In. Differential Equations Volume / Issue. / Start / End Page. - ; International Standard Serial Number (ISSN) S. Venakides, The Generation of Modulated Wavetrains in the Solution of the Korteweg - deVries Equation, Comm. Pure Appl. Math. 38 (), – MathSciNet zbMATH CrossRef Google Scholar S. Venakides, The Zero Dispersion Limit of the Korteweg-deVries Equation with Periodic Initial Data, AMS Trans. (), –

The Small Dispersion Limit of the Korteweg-de Vries Equation– p. 7/23 Asymptotic Analysis of the Direct Scattering Problem The functions u(x,t;ǫ) are reﬂectionless potentials. The small dispersion limit of the Korteweg-deVries equations Item Preview remove-circle Share or Embed This Item. EMBED. EMBED (for hosted blogs and item tags) Want more? Advanced embedding details, examples, and help!.

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The Small Dispersion Limit of the Korteweg-deVries Equations: Levermore, C David, Lax, Peter D: : BooksAuthor: C David Levermore, Peter D Lax. The Small Dispersion Limit of the Korteweg-DeVries Equations (Classic Reprint): Lax, Peter D: - Buy The Small Dispersion Limit of the Korteweg-DeVries Equations book online at best prices in India on Read The Small Dispersion Limit of the Korteweg-DeVries Equations book reviews & author details and more at Author: C David Levermore, Peter D Lax.

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The Small Dispersion Limit of the Korteweg-DeVries Equations (Classic Reprint) by Peter D Lax,available at Book Depository with free delivery worldwide. Buy The Small Dispersion Limit of the Korteweg-DeVries Equations by Levermore, C David, Lax, Peter D online on at best prices.

Fast and free shipping free returns cash on delivery available on eligible : C David Levermore, Peter D Lax. In Part I the scattering transform method is used to study the weak limit of solutions to the initial value problem for the Korteweg‐deVries (KdV) equation as the dispersion tends to zero.

In that limit the associated Schrödinger operator becomes semiclassical, so the exact scattering data is replaced by its corresponding WKB expressions.

Buy The Small Dispersion Limit of the Korteweg-Devries Equations (Classic Reprint) by Peter D. Lax (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders. Request PDF | The Small Dispersion Limit of the Korteweg-de Vries Equation.

II | In Parts I and II we have derived explicit formulas for the distribution limit u of the solution of the KdV. (Here, the oscillations arise as the coefficient of dispersion vanishes, rather than as t → ∞.) Recently, Deift et al.

[51] have completed a Riemann-Hilbert analysis of the small dispersion limit of the KdV equation. They are able to obtain a very detailed asymptotic description of the solution.

@article{osti_, title = {Small-dispersion limit of the Korteweg-deVries equations}, author = {Lax, P.D. and Levermore, C.D.}, abstractNote = {The scattering transform method is used to study the weak limit of solutions to the initial-value problem for the Korteweg-deVries (KdV) equation as the dispersion tends to zero.

In that limit the associated Schroedinger operator becomes. Audio Books & Poetry Community Audio Computers & Technology Music, Arts & Culture News & Public Affairs Non-English Audio Spirituality & Religion. Librivox Free Audiobook.

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In their seminal work inZabusky and Kruskal (ZK) performed numerical experiments on the Korteweg–deVries (KdV) equation with small dispersion, () u t + 6 u u x + ϵ 2 u x x x = 0 (where subscripts x and t denote partial differentiation and ϵ > 0 is a small dispersion parameter), which they had obtained as a long-wave approximation of the Fermi–Pasta–Ulam.

The Small Dispersion Limit of the Korteweg-deVries Equation. III Chapter in Communications on Pure and Applied Mathematics 36(5) January with Reads. The WKB method used in quantum mechanics for solving linear second order ordinary differential equations is generalized to apply to nonlinear partial differential equations.

In particular, this nonlinear WKB method, which is similar to the averaging method due to Whitham, is used to study nearly-periodic solutions of the Korteweg–deVries. Enter search terms. Keep search filters New search. Advanced search. P.D. Lax and C.D. Levermore, The Small Dispersion Limit for the Korteweg-deVries Equation II, Comm.

Pure & Appl. Math. 36, pp. –, zbMATH CrossRef Google Scholar [12] P.D. Lax and C.D. Levermore, The Small Dispersion Limit for the Korteweg-deVries Equation III, Comm. Pure & Appl. Math. 36, pp. –, zbMATH CrossRef Google. The Small Dispersion Limit of the Korteweg-DeVries Equations: Levermore, C David, Lax, Peter D: Books - or: C David Levermore, Peter D [email protected]{osti_, title = {Zero dispersion limit for the Korteweg-deVries KdV equation}, author = {Lax, P D and Levermore, C D}, abstractNote = {The inverse scattering method is used to determine the weak limit of solutions of the Korteweg-deVries equation as dispersion tends to zero.

The limit, valid for all time, is characterized in terms of a quadratic programming problem which can be.Free 2-day shipping on qualified orders over $ Buy The Small Dispersion Limit of the Korteweg-DeVries Equations (Paperback) at