Extreme superposition: high-order fundamental rogue waves in the far-field regime

DOI10.1090/memo/1505MaRDI QIDQ6605413

Deniz Bilman, Peter D. Miller

Publication date: 13 September 2024

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationRiemann-Hilbert problemsrogue wavessteepest-descent method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Traveling wave solutions (35C07) Soliton solutions (35C08)

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