- The capillary Gauss curvature flow
2025/06/11 by Xinqun Mei, Guofang Wang, Mei, Xinqun +3 · 5 citations
Mathematics · #35B65 #35C08 #35K55. Secondary: 52A20 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #Nonlinear Partial Differential Equations #Primary: 53C21
- Existence and stability of soliton-based frequency combs in the Lugiato-Lefever equation
2025/02/05 by Lukas Bengel, Björn de Rijk, Bengel, Lukas +1 · 1 citation
Computer Science · Physics and Astronomy · #34C23 #35B10 #35B35 #35C08 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Primary #Secondary
- Blow-Up Dynamics for the L2 critical case of the 2D Zakharov-Kuznetsov equation
2024/06/03 by Bozgan, Francisc, Ghoul, Tej-Eddine, Masmoudi, Nader +1 · 2 citations
#35B33 #35B44 #35C08 #35Q53 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Two Positive Normalized Solutions on Star-shaped Bounded Domains to the Brézis-Nirenberg Problem, I: Existence
2024/04/17 by Linjie Song, Song, Linjie, Wenming Zou +1 · 2 citations
Computer Science · Engineering · Mathematics · #35A15 #35C08 #35J20 #35Q55 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations
- Vertex Operators of the KP hierarchy and Singular Algebraic Curves
2023/09/16 by Nakayashiki, Atsushi · 1 citation
#14H70 #35C08 #37K40 #Algebraic Geometry (math.AG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)
- Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation
2023/04/05 by André de Laire, Guillaume Dujardin, de Laire, André +3 · 1 citation
Mathematics · Physics and Astronomy · #35B35 #35C07 #35C08 #35Q55 #37K40 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #Numerical Analysis (math.NA) #Strong Light-Matter Interactions
- Boussinesq's equation for water waves: the soliton resolution conjecture for Sector IV
2023/03/01 by Charlier, Christophe, Lenells, Jonatan · 2 citations
#35C08 #35G25 #35Q15 #37K40 #76B15 #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- On uniqueness of multi-bubble blow-up solutions and multi-solitons to L2-critical nonlinear Schrödinger equations
2021/05/30 by Cao, Daomin, Su, Yiming, Zhang, Deng · 1 citation
#35B44 #35C08 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
- KP Solitons from Tropical Limits
2021/01/25 by Agostini, Daniele, Fevola, Claudia, Mandelshtam, Yelena +1 · 1 citation
#14H42 #14H70 #35C08 #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- Peregrine soliton as a limiting behavior of the Kuznetsov-Ma and Akhmediev breathers
2020/09/01 by N. Karjanto, Karjanto, N. · 2 citations
Mathematics · Physics and Astronomy · #35C08 #35Q55 #35Q60 #37K40 #76B15 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Optics (physics.optics) #Pattern Formation and Solitons (nlin.PS)
- The Derivative Nonlinear Schrödinger Equation: Global Well-Posedness and Soliton Resolution
2019/05/08 by Jenkins, Robert, Liu, Jiaqi, Perry, Peter +1 · 4 citations
#35C08 #35Q55 #37K15 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity
2018/12/20 by de Laire, André, Mennuni, Pierre · 1 citation
#35A15 #35B35 #35C07 #35C08 #35J20 #35Q53 #35Q55 #37K05 #82D50 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Spectral stability of bi-frequency solitary waves in Soler and Dirac--Klein--Gordon models
2017/11/15 by Nabile Boussaïd, Boussaid, Nabile, Andrew Comech +1 · 1 citation
Mathematics · Physics and Astronomy · #35B10 #35B35 #35C08 #81Q05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Quantum Physics (quant-ph)
- Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity
2017/05/15 by Boussaid, Nabile, Comech, Andrew · 1 citation
#35B35 #35C08 #35Q41 #37K40 #81Q05 #Analysis of PDEs (math.AP) #FOS: Mathematics
- The n-order rogue waves of Fokas-Lenells equation
2012/11/26 by Shuwei Xu, Jingsong He, Xu, Shuwei +5 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #35C08 #37K10 #37K40 #Coastal and Marine Dynamics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #Ocean Waves and Remote Sensing
- Solutions to the ABS lattice equations via generalized Cauchy matrix approach
2012/08/18 by Zhang, Da-jun, Zhao, Song-lin · 2 citations
#35C08 #35Q51 #37K60 #39A14 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)
- Generalized transition waves and their properties
2010/12/03 by Berestycki, Henri, Hamel, François · 1 citation
#35B06 #35B08 #35C07 #35C08 #35K10 #35K40 #Analysis of PDEs (math.AP) #FOS: Mathematics