Rogue waves on the general periodic traveling wave background for an extended modified Korteweg–de Vries equation

DOI10.1002/mma.7653zbMath1479.35723OpenAlexW3179971091MaRDI QIDQ5015829

Yu Lou, Rusuo Ye, Yi Zhang

Publication date: 9 December 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7653

zbMATH Keywords

Jacobian elliptic functionDarboux transformationperiodic traveling wavesrogue wavesextended modified Korteweg-de Vries equation

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) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Elliptic functions and integrals (33E05) Traveling wave solutions (35C07) Soliton solutions (35C08)

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