Rogue periodic waves of the modified KdV equation

DOI10.1088/1361-6544/aaa2dazbMath1393.35201arXiv1704.08584OpenAlexW3100325172MaRDI QIDQ4569291

Jinbing Chen, Dmitry E. Pelinovsky

Publication date: 28 June 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.08584

zbMATH Keywords

modified Korteweg-de Vries equationperiodic wavesrogue waves\(N\)-fold Darboux transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Spectral theory and eigenvalue problems for partial differential equations (35P99) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Elliptic functions and integrals (33E05)

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