The Darboux transformation for the Wadati-Konno-Ichikawa system

DOI10.1134/S0040577917050117zbMath1377.37106OpenAlexW2620996741MaRDI QIDQ2404880

Deqin Qiu, Yongshuai Zhang, Yi. Cheng, Jing-Song He

Publication date: 21 September 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577917050117

zbMATH Keywords

hodograph transformationsolitonDarboux transformationrogue wavemodulation instabilityWadati-Konno-Ichikawa system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items

Dynamics analysis for the Wadati-Konno-Ichikawa(II)-short pulse equation, The loop rogue wave solutions for the Wadati–Konno–Ichikawa equation, Hodograph transformation, various exact solutions and dynamical analysis for the complex Wadati-Konno-Ichikawa-II equation, Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole, The soliton solutions for the Wadati-Konno-Ichikawa equation, Spectral analysis and long-time asymptotics for the potential Wadati-Konno-Ichikawa equation, On the soliton resolution and the asymptotic stability of \(N\)-soliton solution for the Wadati-Konno-Ichikawa equation with finite density initial data in space-time solitonic regions

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