Riemann surfaces close to degenerate ones in the theory of rogue waves

DOI10.1134/s0081543824020056zbMATH Open1548.14111MaRDI QIDQ6633149

Publication date: 5 November 2024

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite-gap integration exactly solvable models spatially periodic problem asymptotic solutions in terms of elementary functions rogue (anomalous) waves spectral curves close to degenerate ones

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Relationships between algebraic curves and integrable systems (14H70) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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