Vector multi-pole solutions in the \(r\)-coupled Hirota equation

DOI10.1016/j.wavemoti.2022.102959OpenAlexW4280517569WikidataQ114173997 ScholiaQ114173997MaRDI QIDQ2171811

Hai-Qiang Zhang, Yun-Chun Wei

Publication date: 9 September 2022

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2022.102959

zbMATH Keywords

asymptotic analysismulti-pole solutionsvector Hirota equation

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Partial differential equations (35-XX)

Cites Work

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• Rational solitary wave and rogue wave solutions in coupled defocusing Hirota equation
• Long-time asymptotics for the initial-boundary value problem of coupled Hirota equation on the half-line
• Multiple pole solutions of the nonlinear Schrödinger equation
• Inverse scattering method and vector higher order nonlinear Schrödinger equation
• Generalized Darboux transformation and localized waves in coupled Hirota equations
• Vector bright solitons and their interactions of the couple Fokas-Lenells system in a birefringent optical fiber
• On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles
• Simultaneous propagation ofN-solitons in a fibre medium with all higher-order effects
• Asymptotics for the multiple pole solutions of the nonlinear Schrödinger equation

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