Soliton resolution for the complex short-pulse positive flow with weighted Sobolev initial data in the space-time soliton regions
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Publication:6189361
DOI10.1016/j.jde.2023.12.036MaRDI QIDQ6189361
Kedong Wang, Ruomeng Li, Jia Wang, Xiangguo Geng
Publication date: 8 February 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
long-time asymptoticsoliton resolution\(\overline{\partial}\) steepest descent methodnew complex short-pulse positive flow
Asymptotic behavior of solutions to PDEs (35B40) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Asymptotic representations in the complex plane (30E15) Soliton solutions (35C08)
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