Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics [electronic resource] : Generalized Solitons and Hyperasymptotic Perturbation Theory /

Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics [electronic resource] : Generalized Solitons and Hyperasymptotic Perturbation Theory /

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" . . . if a physical system is capable of supporting solitary wave motions then such motions will invariably arise from quite general excitations. " - T. Maxworthy (1980), pg. 52. The discover of nonlocal solitary waves is unknown and anonymous, but he or she lived in the dry north of Australia many millenia before the birth of writing. There, on the shores of the Gulf of Carpentaria, vast cylinders of cloud roll from northeast to southwest most mornings. Perhaps 300 meters in diameter, perhaps 500 meters above the ocean, these cylinders of cloud stretch from horizon to horizon. As the cloud evaporates on the trailing edge of the wave and condenses on the leading edge, the cylinder appears to roll backwards even as it propagates inland at perhaps 10-20 meters per second. Often, a whole train of cloud-cylinders propagates from Cape Yorke Penisula across the Gulf towards the southwest across modern Burketown, perhaps as much as 500 km inland into the Northern Territory. Modern-day Australians call it the "Morning Glory". What the discover called it, so many centuries before the invention of hieroglyphics, the foundation of Ur and the coronation of the First Dynasty of China, we do not know. But unless he was very different from us, he felt awe. Physicists (Smith, 1988, and Rottman and Einaudi, 1!:!93) have identified the Morning Glory as a solitary wave.

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Main Authors: Boyd, John P. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Boston, MA : Springer US : Imprint: Springer, 1998
Subjects:Mathematics., Earth sciences., Mathematical analysis., Analysis (Mathematics)., Applied mathematics., Engineering mathematics., Fluids., Analysis., Applications of Mathematics., Earth Sciences, general., Fluid- and Aerodynamics.,
Online Access:http://dx.doi.org/10.1007/978-1-4615-5825-5
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id KOHA-OAI-TEST:218352
record_format koha
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Mathematics.
Earth sciences.
Mathematical analysis.
Analysis (Mathematics).
Applied mathematics.
Engineering mathematics.
Fluids.
Mathematics.
Analysis.
Applications of Mathematics.
Earth Sciences, general.
Fluid- and Aerodynamics.
Mathematics.
Earth sciences.
Mathematical analysis.
Analysis (Mathematics).
Applied mathematics.
Engineering mathematics.
Fluids.
Mathematics.
Analysis.
Applications of Mathematics.
Earth Sciences, general.
Fluid- and Aerodynamics.
spellingShingle Mathematics.
Earth sciences.
Mathematical analysis.
Analysis (Mathematics).
Applied mathematics.
Engineering mathematics.
Fluids.
Mathematics.
Analysis.
Applications of Mathematics.
Earth Sciences, general.
Fluid- and Aerodynamics.
Mathematics.
Earth sciences.
Mathematical analysis.
Analysis (Mathematics).
Applied mathematics.
Engineering mathematics.
Fluids.
Mathematics.
Analysis.
Applications of Mathematics.
Earth Sciences, general.
Fluid- and Aerodynamics.
Boyd, John P. author.
SpringerLink (Online service)
Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics [electronic resource] : Generalized Solitons and Hyperasymptotic Perturbation Theory /
description " . . . if a physical system is capable of supporting solitary wave motions then such motions will invariably arise from quite general excitations. " - T. Maxworthy (1980), pg. 52. The discover of nonlocal solitary waves is unknown and anonymous, but he or she lived in the dry north of Australia many millenia before the birth of writing. There, on the shores of the Gulf of Carpentaria, vast cylinders of cloud roll from northeast to southwest most mornings. Perhaps 300 meters in diameter, perhaps 500 meters above the ocean, these cylinders of cloud stretch from horizon to horizon. As the cloud evaporates on the trailing edge of the wave and condenses on the leading edge, the cylinder appears to roll backwards even as it propagates inland at perhaps 10-20 meters per second. Often, a whole train of cloud-cylinders propagates from Cape Yorke Penisula across the Gulf towards the southwest across modern Burketown, perhaps as much as 500 km inland into the Northern Territory. Modern-day Australians call it the "Morning Glory". What the discover called it, so many centuries before the invention of hieroglyphics, the foundation of Ur and the coronation of the First Dynasty of China, we do not know. But unless he was very different from us, he felt awe. Physicists (Smith, 1988, and Rottman and Einaudi, 1!:!93) have identified the Morning Glory as a solitary wave.
format Texto
topic_facet Mathematics.
Earth sciences.
Mathematical analysis.
Analysis (Mathematics).
Applied mathematics.
Engineering mathematics.
Fluids.
Mathematics.
Analysis.
Applications of Mathematics.
Earth Sciences, general.
Fluid- and Aerodynamics.
author Boyd, John P. author.
SpringerLink (Online service)
author_facet Boyd, John P. author.
SpringerLink (Online service)
author_sort Boyd, John P. author.
title Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics [electronic resource] : Generalized Solitons and Hyperasymptotic Perturbation Theory /
title_short Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics [electronic resource] : Generalized Solitons and Hyperasymptotic Perturbation Theory /
title_full Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics [electronic resource] : Generalized Solitons and Hyperasymptotic Perturbation Theory /
title_fullStr Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics [electronic resource] : Generalized Solitons and Hyperasymptotic Perturbation Theory /
title_full_unstemmed Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics [electronic resource] : Generalized Solitons and Hyperasymptotic Perturbation Theory /
title_sort weakly nonlocal solitary waves and beyond-all-orders asymptotics [electronic resource] : generalized solitons and hyperasymptotic perturbation theory /
publisher Boston, MA : Springer US : Imprint: Springer,
publishDate 1998
url http://dx.doi.org/10.1007/978-1-4615-5825-5
work_keys_str_mv AT boydjohnpauthor weaklynonlocalsolitarywavesandbeyondallordersasymptoticselectronicresourcegeneralizedsolitonsandhyperasymptoticperturbationtheory
AT springerlinkonlineservice weaklynonlocalsolitarywavesandbeyondallordersasymptoticselectronicresourcegeneralizedsolitonsandhyperasymptoticperturbationtheory
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spelling KOHA-OAI-TEST:2183522018-07-30T23:55:11ZWeakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics [electronic resource] : Generalized Solitons and Hyperasymptotic Perturbation Theory / Boyd, John P. author. SpringerLink (Online service) textBoston, MA : Springer US : Imprint: Springer,1998.eng" . . . if a physical system is capable of supporting solitary wave motions then such motions will invariably arise from quite general excitations. " - T. Maxworthy (1980), pg. 52. The discover of nonlocal solitary waves is unknown and anonymous, but he or she lived in the dry north of Australia many millenia before the birth of writing. There, on the shores of the Gulf of Carpentaria, vast cylinders of cloud roll from northeast to southwest most mornings. Perhaps 300 meters in diameter, perhaps 500 meters above the ocean, these cylinders of cloud stretch from horizon to horizon. As the cloud evaporates on the trailing edge of the wave and condenses on the leading edge, the cylinder appears to roll backwards even as it propagates inland at perhaps 10-20 meters per second. Often, a whole train of cloud-cylinders propagates from Cape Yorke Penisula across the Gulf towards the southwest across modern Burketown, perhaps as much as 500 km inland into the Northern Territory. Modern-day Australians call it the "Morning Glory". What the discover called it, so many centuries before the invention of hieroglyphics, the foundation of Ur and the coronation of the First Dynasty of China, we do not know. But unless he was very different from us, he felt awe. Physicists (Smith, 1988, and Rottman and Einaudi, 1!:!93) have identified the Morning Glory as a solitary wave.I Overview -- 1 Introduction -- II Analytical Methods -- 2 The Method of Multiple Scales and the E-Power Series -- 3 Hyperasymptotic Perturbation Theory -- 4 Matched Asymptotic Expansions in The Complex Plane -- 5 Stokes’ Expansion, Resonance & Polycnoidal Waves -- 6 Theorems and Proofs: Existence Non-Existence & Symmetry -- III Numerical Methods -- 7 Pseudospectral and Galerkin Methods -- 8 Nonlinear Algebraic Equations -- 9 Special Algorithms for Exponentially Small Phenomena -- IV Applications -- 10 Water Waves: Fifth-Order Korteweg-Devries Equation -- 11 Rossby & Internal Gravity Waves: Nonlocal Higher Modes -- 12 The ?4 Breather -- 13 Envelope Solitary Waves: Third Order Nonlinear Schroedinger Equation and the Klein-Gordon Equation -- 14 Temporal Analogues: Separatrix Splitting &The Slow Manifold -- 15 Micropterons -- V Radiative Decay &Other Exponentially Small Phenomena -- 16 Radiative Decay Of Weakly Nonlocal Solitary Waves -- 17 Non-Soliton Exponentially Small Phenomena -- 18 The Future -- References." . . . if a physical system is capable of supporting solitary wave motions then such motions will invariably arise from quite general excitations. " - T. Maxworthy (1980), pg. 52. The discover of nonlocal solitary waves is unknown and anonymous, but he or she lived in the dry north of Australia many millenia before the birth of writing. There, on the shores of the Gulf of Carpentaria, vast cylinders of cloud roll from northeast to southwest most mornings. Perhaps 300 meters in diameter, perhaps 500 meters above the ocean, these cylinders of cloud stretch from horizon to horizon. As the cloud evaporates on the trailing edge of the wave and condenses on the leading edge, the cylinder appears to roll backwards even as it propagates inland at perhaps 10-20 meters per second. Often, a whole train of cloud-cylinders propagates from Cape Yorke Penisula across the Gulf towards the southwest across modern Burketown, perhaps as much as 500 km inland into the Northern Territory. Modern-day Australians call it the "Morning Glory". What the discover called it, so many centuries before the invention of hieroglyphics, the foundation of Ur and the coronation of the First Dynasty of China, we do not know. But unless he was very different from us, he felt awe. Physicists (Smith, 1988, and Rottman and Einaudi, 1!:!93) have identified the Morning Glory as a solitary wave.Mathematics.Earth sciences.Mathematical analysis.Analysis (Mathematics).Applied mathematics.Engineering mathematics.Fluids.Mathematics.Analysis.Applications of Mathematics.Earth Sciences, general.Fluid- and Aerodynamics.Springer eBookshttp://dx.doi.org/10.1007/978-1-4615-5825-5URN:ISBN:9781461558255

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