Deniz Bilman
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    • General rogue waves of infinite order: exact properties, asymptotic behavior, and effective numerical computation
    • Extreme superposition: high-order fundamental rogue waves in the far-field regime
    • RogueWaveInfiniteNLS.jl
    • Computation of large-genus solutions of the Korteweg-de Vries equation
    • Broader universality of rogue waves of infinite order
    • Far-field asymptotics for multiple-pole solitons in the large-order limit
    • On numerical inverse scattering for the Korteweg-de Vries equation with discontinuous step-like data
    • Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy
    • Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation
    • Benchmarking numerical methods for lattice equations with the Toda lattice
    • A robust inverse scattering transform for the focusing nonlinear Schrödinger equation
    • Discrete integrable systems, Darboux transformations, and Yang–Baxter maps
    • Numerical inverse scattering for the Toda lattice
    • On the evolution of scattering data under perturbations of the Toda lattice
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  • In preparation
    • General rogue waves of infinite order: double-scaling asymptotics
    • Solitons of fractional order: interpolating between coherent structures
    • Infinite-order solutions of the modified Korteweg-de Vries equation
    • Asymptotic behavior of large-order soliton solutions of the modified Korteweg-de Vries equation
    • Far-field symptotics of large-order breathers for the sine-Gordon equation
    • Long-time development of initial data with spectral pole singularities
    • Long-time asymptotics for the Korteweg-de Vries equation
  • Teaching
    • Ordinary Differential Equations
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      • Lecture 19
      • Lecture 20
      • Lecture 21
      • Appendix 1
      • Appendix 2
    • Partial Differential Equations
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      • Lecture 9
      • Lecture 10
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      • Lecture 12
      • Lecture 13
      • Lecture 14
      • Lecture 15
      • Lecture 16
      • Lecture 17
      • Lecture 18
      • Lecture 19
      • Appendix 1
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Solitons of fractional order: interpolating between coherent structures

Jun 15, 2024·
Deniz Bilman
Deniz Bilman
,
Peter D. Miller
· 0 min read
Last updated on Jun 15, 2024
Deniz Bilman
Authors
Deniz Bilman
Assistant Professor
← General rogue waves of infinite order: double-scaling asymptotics Jul 5, 2024
Infinite-order solutions of the modified Korteweg-de Vries equation May 1, 2024 →

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