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Extreme Superposition: High-Order Fundamental Rogue Waves in the Far-Field Regime
 
Deniz Bilman University of Cincinnati, Cincinnati, Ohio
Peter D. Miller University of Michigan, Ann Arbor, Michigan
Softcover ISBN:  978-1-4704-7121-7
Product Code:  MEMO/300/1505
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7931-2
Product Code:  MEMO/300/1505.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7121-7
eBook: ISBN:  978-1-4704-7931-2
Product Code:  MEMO/300/1505.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
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Extreme Superposition: High-Order Fundamental Rogue Waves in the Far-Field Regime
Deniz Bilman University of Cincinnati, Cincinnati, Ohio
Peter D. Miller University of Michigan, Ann Arbor, Michigan
Softcover ISBN:  978-1-4704-7121-7
Product Code:  MEMO/300/1505
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7931-2
Product Code:  MEMO/300/1505.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7121-7
eBook ISBN:  978-1-4704-7931-2
Product Code:  MEMO/300/1505.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 3002024; 90 pp
    MSC: Primary 37; 35

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Far-field asymptotic behavior in the domain $\mathcal {C}$
    • 3. Properties of $h(\lambda ;\chi ,\tau )$ for $(\chi ,\tau )\in \mathcal {E}\cup \mathcal {S}$
    • 4. Far-Field Asymptotic Behavior of Rogue Waves in the Domain $\mathcal {E}$
    • 5. Far-Field Asymptotic Behavior in the Domain $\mathcal {S}$
    • A. Relative Perturbations of Plane Waves and Linear Instability Bands
    • B. Proofs of Some Elementary Results
    • C. Some Useful Facts About Polynomials with Real Coefficients
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3002024; 90 pp
MSC: Primary 37; 35

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Far-field asymptotic behavior in the domain $\mathcal {C}$
  • 3. Properties of $h(\lambda ;\chi ,\tau )$ for $(\chi ,\tau )\in \mathcal {E}\cup \mathcal {S}$
  • 4. Far-Field Asymptotic Behavior of Rogue Waves in the Domain $\mathcal {E}$
  • 5. Far-Field Asymptotic Behavior in the Domain $\mathcal {S}$
  • A. Relative Perturbations of Plane Waves and Linear Instability Bands
  • B. Proofs of Some Elementary Results
  • C. Some Useful Facts About Polynomials with Real Coefficients
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.