Spectral analysis and long-time asymptotics for the potential Wadati-Konno-Ichikawa equation
From MaRDI portal
Publication:2033208
DOI10.1016/j.jmaa.2021.125170zbMath1470.37093OpenAlexW3147789861MaRDI QIDQ2033208
Mingming Chen, Kedong Wang, Xiangguo Geng
Publication date: 14 June 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125170
Asymptotic behavior of solutions to PDEs (35B40) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items (8)
Soliton resolution for the Wadati-Konno-Ichikawa equation with weighted Sobolev initial data ⋮ Long-time asymptotics for the modified complex short pulse equation ⋮ Soliton, breather, rogue wave and continuum limit in the discrete complex modified Korteweg-de Vries equation by Darboux-Bäcklund transformation ⋮ Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data ⋮ Soliton resolution for the complex short-pulse positive flow with weighted Sobolev initial data in the space-time soliton regions ⋮ Spectral analysis and long-time asymptotics for the Harry Dym-type equation with the Schwartz initial data ⋮ 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 ⋮ Long-time asymptotics for the complex nonlinear transverse oscillation equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation
- Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent
- Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line
- Long-time asymptotics for the short pulse equation
- The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
- The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation
- Long-time asymptotics for the generalized Sasa-Satsuma equation
- A vector general nonlinear Schrödinger equation with \((m+n)\) components
- Rogue periodic waves of the sine-Gordon equation
- Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- The Darboux transformation for the Wadati-Konno-Ichikawa system
- Long-time asymptotics for the Degasperis-Procesi equation on the half-line
- Long-time asymptotics of the coupled modified Korteweg-de Vries equation
- Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy
- Long-time asymptotics for the spin-1 Gross-Pitaevskii equation
- A New Integrable Nonlinear Evolution Equation
- New Integrable Nonlinear Evolution Equations
- Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications
- The short-wave model for the Camassa–Holm equation: a Riemann–Hilbert approach
- Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data
- The WKI Model of Type II Arises from Motion of Curves inE3
- Long-time Asymptotics for the Camassa–Holm Equation
- Scattering and inverse scattering for first order systems
- Explicit auto-Backlund relation through gauge transformation
- Asymptotics of Solutions to the Modified Nonlinear Schrödinger Equation: Solitons on a Nonvanishing Continuous Background
- Long-time asymptotics for the pure radiation solution of the sine—gordon equation
- Leading-order temporal asymptotics of the modified nonlinear Schrödinger equation: solitonless sector
- Higher order asymptotics of the modified non-linear schrödinger equation
- The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
- Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line
- Application of the Nonlinear Steepest Descent Method to the Coupled Sasa-Satsuma Equation
- On a vector long wave‐short wave‐type model
- The Ostrovsky–Vakhnenko equation by a Riemann–Hilbert approach
This page was built for publication: Spectral analysis and long-time asymptotics for the potential Wadati-Konno-Ichikawa equation
