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20231017213018.0 |
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151218s2016 nyu o 001 0 eng |
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|a 2015050010
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|a DLC
|b eng
|e rda
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|c DLC
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|d OCLCF
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|d EBLCP
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|a 9781634841580
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|a 1634841581
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|z 9781634827690
|q (hardcover)
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|a AU@
|b 000056913779
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|a (OCoLC)933218932
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|a pcc
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|a QC20.7.E88
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|x 005000
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|x 034000
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|a 515/.353
|2 23
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|a UAMI
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|a Nonlinear evolution equations and soliton solutions /
|c editors, Yucui Guo, and Anjan Biswas (Beijing University of Post and Telecommunications, Beijing, China, and others).
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|a Hauppauge, New York :
|b Nova Science Publishers, Inc.,
|c 2016.
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| 300 |
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|a 1 online resource
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
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|a Mathematics research developments
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| 500 |
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|a Includes index.
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|a Print version record and CIP data provided by publisher.
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|a NONLINEAR EVOLUTION EQUATIONS AND SOLITON SOLUTIONS ; NONLINEAR EVOLUTION EQUATIONS AND SOLITON SOLUTIONS ; Library of Congress Cataloging-in-Publication Data; CONTENTS; FOREWORD ; PREFACE; Chapter 1 TYPICAL EQUATIONS AND THEIR SOLITARY WAVE SOLUTIONS ; 1.1. THE HISTORICAL REVIEW; 1.2. SOLITARY WAVE -- THE BALANCE BETWEEN NONLINEAR CONVERGENCE AND DISPERSION PHENOMENON ; 1.2.1. Nonlinear Convergence Phenomenon in Fluctuations ; 1.2.2. The Dispersion in Fluctuations ; 1.2.3. The Balance of Convergence Effect and Dispersion Effect -- The Explanation of KdV Equation
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|a 1.3. KDV EQUATION AND ITS SOLITARY WAVE SOLUTION 1.3.1. Derivation of KdV Equation ; 1.3.2. The Solitary Wave Solution of KdV Equation ; 1.3.3. Generalized KdV Equations and Their Solitary Wave Solutions ; 1.3.3.1. The Solitary Wave Solution of mKdV Equation ; 1.3.3.2. Solitary Wave Solution of Boussinesq Equation ; 1.3.3.3. Solitary Wave Solution of KP (Kadomtsev-Petviashvili) Equation ; 1.4. NONLINEAR SCHRÖDINGER EQUATION AND OPTICAL SOLITON ; 1.4.1. Derivation of the Nonlinear Schrödinger Equation ; 1.4.2. The Single Solitary Wave Solution of Nonlinear Schrödinger Equation
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|a 1.4.3. The Solitary Wave Solution Having Traveling Wave Form of Nonlinear Schrödinger Equation 1.5. THE NONLINEAR SINE-GORDON EQUATION; 1.5.1. The Josephson Effect and Nonlinear Sine-Gordon Equation ; 1.5.2. The Solitary Wave Solution of Nonlinear Sine-Gordon Equation ; 1.5.3. The Breather-Typed Soliton Solution of Nonlinear Sine-Gordon Equation ; 1.6. BURGERS EQUATION AND ITS SOLITARY WAVE SOLUTION ; 1.6.1. The Derivation of the Burgers Equation as a Transport Model ; 1.6.2. Solitary Wave Solutions of Burgers Equation ; 1.6.3. The Hopf-Cole Transformation
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|a Chapter 2 THE INVERSE SCATTERING METHOD AND MULTIPLE SOLITARY WAVE SOLUTIONS 2.1. THE SCATTERING AND INVERSE SCATTERING PROBLEMS ; 2.1.1. The Single Soliton Solution ; 2.1.2. The Double Soliton Solution ; 2.2. THE EVOLUTION OF THE SCATTERING DATA OVER TIME ; 2.3. THE SPECIFIC PROCESS OF SOLVING KDV EQUATION USING INVERSE SCATTERING METHOD AND THE PROOF OF INVERSION THEOREM ; 2.4. THE N SOLITON SOLUTION OF KDV EQUATION ; 2.4.1. The Single Soliton Solution of KdV Equation ; 2.4.2. The Double-Soliton Solution of KdV Equation ; 2.4.3. The N Soliton Solution of KdV Equation
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|a 2.5. THE PROMOTION OF INVERSE SCATTERING METHOD2.5.1. Lax Equation ; 2.5.2. AKNS Method ; 2.6. THE INVERSE SCATTERING METHOD FOR SOLVING NONLINEAR SCHRÖDINGER EQUATION ; 2.6.1. The Basic Idea ; 2.6.2. The Determination of Lax Pair of Nonlinear Schrödinger Equation ; 2.6.3. The Direct Scattering Problem-Intrinsic Value Problem ; 2.6.3.1. The Solution of Two-Component system and the Characteristics of Scattering Data ; 2.6.3.2. The Solution of Two-Component System and the Determination of Scattering Data ; 2.6.4. The Evolution of the Scattering Data Over Time
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| 590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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| 650 |
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0 |
|a Evolution equations, Nonlinear.
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| 650 |
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0 |
|a Solitons.
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| 650 |
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0 |
|a Transformations (Mathematics)
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| 650 |
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0 |
|a Differential equations, Nonlinear.
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| 650 |
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6 |
|a Équations d'évolution non linéaires.
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| 650 |
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6 |
|a Solitons.
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| 650 |
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6 |
|a Équations différentielles non linéaires.
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| 650 |
|
7 |
|a MATHEMATICS
|x Calculus.
|2 bisacsh
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| 650 |
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7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
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| 650 |
|
7 |
|a Differential equations, Nonlinear.
|2 fast
|0 (OCoLC)fst00893474
|
| 650 |
|
7 |
|a Evolution equations, Nonlinear.
|2 fast
|0 (OCoLC)fst00917335
|
| 650 |
|
7 |
|a Solitons.
|2 fast
|0 (OCoLC)fst01125558
|
| 650 |
|
7 |
|a Transformations (Mathematics)
|2 fast
|0 (OCoLC)fst01154653
|
| 700 |
1 |
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|a Guo, Yucui,
|d 1962-
|e editor.
|
| 700 |
1 |
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|a Biswas, Anjan
|c (Mathematics professor),
|e editor.
|
| 776 |
0 |
8 |
|i Print version:
|t Nonlinear evolution equations and soliton solutions.
|d Hauppauge, New York : Nova Science Publishers, Inc., 2016
|z 9781634827690
|w (DLC) 2015041887
|
| 856 |
4 |
0 |
|u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1164749
|z Texto completo
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL4586148
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| 938 |
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|a EBSCOhost
|b EBSC
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|b YANK
|n 12692250
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