Peter D. Miller

1. Semiclassical Soliton Ensembles for the Focusing Nonlinear Schroedinger Equation
   2000/12/16 by S. Kamvissis, K. T. -R. McLaughlin, K. T-R McLaughlin +5 · 3 citations
   Physics and Astronomy · #Advanced Fiber Laser Technologies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.SI
2. A robust inverse scattering transform for the focusing nonlinear\n Schr "odinger equation
   2017/10/17 by Deniz Bilman, Bilman, Deniz, Peter D. Miller +1 · 2 citations
   Physics and Astronomy · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics
3. Extreme Superposition: High-Order Fundamental Rogue Waves in the Far-Field Regime
   2021/02/27 by Deniz Bilman, Bilman, Deniz, Peter D. Miller +1 · 2 citations
   Physics and Astronomy · #35Q15 #35Q51 #35Q55 #37K10 #37K15 #37K40 #Advanced Fiber Laser Technologies #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS)
4. Optimal tail estimates for directed last passage site percolation with geometric random variables
   2001/12/16 by Jinho Baik, Percy Deift, Baik, Jinho +9 · 1 citation
   Computer Science · Mathematics · Physics and Astronomy · #Bayesian Methods and Mixture Models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #math-ph #math.MP #math.PR
5. The N-soliton of the focusing nonlinear Schroedinger equation for N large
   2005/08/01 by Gregory D. Lyng, Peter D. Miller, Lyng, Gregory +1 · 1 citation
   Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #Classical Analysis and ODEs (math.CA) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Photonic Systems #Photonic Crystal and Fiber Optics
6. On the zero-dispersion limit of the Benjamin-Ono Cauchy problem for positive initial data
   2010/02/17 by Peter D. Miller, Zhengjie Xu, Miller, Peter D. +1 · 1 citation
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons #Nonlinear Photonic Systems
7. The dbar steepest descent method for orthogonal polynomials on the real line with varying weights
   2008/05/14 by K. T-R McLaughlin, Peter D. Miller, McLaughlin, K. T. -R. +1 · 1 citation
   Mathematics · #Advanced Algebra and Geometry #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Probability (math.PR) #Random Matrices and Applications
8. The Benjamin-Ono equation in the zero-dispersion limit for rational initial data: generation of dispersive shock waves
   2024/10/22 by Elliot Blackstone, Blackstone, Elliot, Louise Gassot +5 · 1 citation
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
9. General rogue waves of infinite order: Exact properties, asymptotic behavior, and effective numerical computation
   2024/08/10 by Deniz Bilman, Bilman, Deniz, Peter D. Miller +1 · 1 citation
   Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #34M55 #35Q15 #35Q51 #35Q55 #37K10 #37K15 #37K40 #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Ocean Waves and Remote Sensing
10. Universality in the Small-Dispersion Limit of the Benjamin-Ono Equation
    2024/10/28 by Elliot Blackstone, Peter D. Miller, Blackstone, Elliot +3 · 1 citation
    Mathematics · Physics and Astronomy · #35C20 #35Q51 #37E20 #41A60 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High-Energy Particle Collisions Research #Pattern Formation and Solitons (nlin.PS) #Quantum Chromodynamics and Particle Interactions