Miller, Peter D.
- The diffusion equation with nonlocal data
2017/08/03 by Miller, Peter D., Smith, David A. · 2 citations
#34B10 #35C15 #35E15 #35Q79 #Analysis of PDEs (math.AP) #FOS: Mathematics
- A robust inverse scattering transform for the focusing nonlinear\n Schr "odinger equation
2017/10/17 by Deniz Bilman, Peter D. Miller, Bilman, Deniz +1 · 2 citations
Physics and Astronomy · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics
- Extreme Superposition: High-Order Fundamental Rogue Waves in the Far-Field Regime
2021/02/27 by Deniz Bilman, Peter D. Miller, Bilman, Deniz +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)
- The N-soliton of the focusing nonlinear Schroedinger equation for N large
2005/08/01 by Gregory D. Lyng, Lyng, Gregory, Peter D. Miller +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
- 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
- On the modified nonlinear Schrödinger equation in the semiclassical limit: supersonic, subsonic, and transsonic behavior
2011/11/04 by DiFranco, Jeffery C., Miller, Peter D., Muite, Benson K. · 1 citation
#2010: 35M11 #35Q15 #35Q55 #37K10 #37K40 #41A60 #78M35 #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences
- Graphical Krein Signature Theory and Evans-Krein Functions
2012/09/14 by Richard Kollár, Peter D. Miller, Kollár, Richard +1 · 1 citation
Physics and Astronomy · #15A18 #15A22 #35B35 #37K45 #47A10 #47A75 #47J10 #65L07 #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Quantum chaos and dynamical systems #Quantum many-body systems #Spectral Theory (math.SP)
- Spectral and Modulational Stability of Periodic Wavetrains for the Nonlinear Klein-Gordon Equation
2013/12/04 by Jones, Christopher K. R. T., Marangell, Robert, Miller, Peter D. +1 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Dynamical Hamiltonian-Hopf instabilities of periodic traveling waves in Klein-Gordon equations
2014/07/24 by Marangell, Robert, Miller, Peter D. · 1 citation
#34B30 #35B10 #35B35 #35C07 #35L71 #47A10 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- The Benjamin-Ono Initial-Value Problem for Rational Data with Application to Long-Time Asymptotics and Scattering
2024/10/18 by Blackstone, Elliot, Gassot, Louise, Gérard, Patrick +1 · 2 citations
#35C05 #35Q51 #37K10 #Analysis of PDEs (math.AP) #FOS: Mathematics
- The Benjamin-Ono equation in the zero-dispersion limit for rational initial data: generation of dispersive shock waves
2024/10/22 by Elliot Blackstone, Louise Gassot, Blackstone, Elliot +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
- 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
- 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