N-soliton formula and blow-up result of the Wadati–Konno–Ichikawa equation

DOI10.1088/1751-8121/aa75afzbMath1375.35499arXiv1701.00926OpenAlexW3100256006MaRDI QIDQ5357472

Hsiao-Fan Liu, Yusuke Shimabukuro

Publication date: 8 September 2017

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

Full work available at URL: https://arxiv.org/abs/1701.00926

zbMATH Keywords

solitoninverse scattering methodWadati-Konno-Ichikawa spectral problem

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Soliton solutions (35C08)

Related Items (7)

Dynamics analysis for the Wadati-Konno-Ichikawa(II)-short pulse equation ⋮ Soliton resolution for the Wadati-Konno-Ichikawa equation with weighted Sobolev initial data ⋮ 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 ⋮ 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

Cites Work

• Unnamed Item
• Wave breaking in the short-pulse equation
• A New Integrable Nonlinear Evolution Equation
• New Integrable Nonlinear Evolution Equations
• Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves
• Explicit auto-Backlund relation through gauge transformation
• Solitary wave solutions of the short pulse equation

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