Rogue periodic waves in the fifth-order Ito equation

DOI10.1016/j.aml.2020.106464zbMath1441.35099OpenAlexW3021229127MaRDI QIDQ2186761

Zhi-jie Pei, Hai-Qiang Zhang, Xia Gao, Fa Chen

Publication date: 9 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106464

zbMATH Keywords

Jacobi elliptic functionDarboux transformationnonlinearization of spectral problem (NSP)

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items (11)

Rogue wave solutions for the generalized fifth-order nonlinear Schrödinger equation on the periodic background ⋮ Breathers, rogue waves and breather-rogue waves on a periodic background for the modified nonlinear Schrödinger equation ⋮ Periodic travelling waves and rogue waves for the higher-order modified Korteweg-de Vries equation ⋮ Rogue waves for the Hirota equation on the Jacobi elliptic cn-function background ⋮ Rogue waves, modulation instability of the \((2+1)\)-dimensional complex modified Korteweg-de Vries equation on the periodic background ⋮ Rogue waves of the sixth-order nonlinear Schrödinger equation on a periodic background ⋮ Rogue waves of the fifth-order Ito equation on the general periodic travelling wave solutions background ⋮ Breather, soliton-breather interaction and double-pole solutions of the fifth-order modified KdV equation ⋮ Formation of rogue waves on the periodic background in a fifth-order nonlinear Schrödinger equation ⋮ Higher-order rational soliton solutions for the fifth-order modified KdV and KdV equations ⋮ Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background

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