Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications
From MaRDI portal
Publication:2802669
DOI10.1002/mma.3516zbMath1337.37055OpenAlexW1960049846MaRDI QIDQ2802669
Liang Guan, Zhu Li, Xiangguo Geng
Publication date: 26 April 2016
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3516
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relationships between algebraic curves and integrable systems (14H70)
Related Items (6)
Dynamics analysis for the Wadati-Konno-Ichikawa(II)-short pulse equation ⋮ Soliton resolution for the Wadati-Konno-Ichikawa equation with weighted Sobolev initial data ⋮ Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole ⋮ 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 ⋮ Long-time asymptotics for the complex nonlinear transverse oscillation equation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy
- Algebro-geometric solutions of the TD hierarchy
- Quasi-periodic solutions of mixed AKNS equations
- Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions
- Soliton on thin vortex filament
- Solitons on a vortex filament with axial flow
- A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy
- Lax matrix and a generalized coupled KdV hierarchy
- Straightening out of the flows for the Hu hierarchy and its algebro-geometric solutions
- Quasi-periodic solutions to the two-component nonlinear Klein-Gordon equation
- Algebro-geometric solutions of the discrete Ragnisco-Tu hierarchy
- Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy
- Explicit quasi-periodic solutions of the Kaup-Newell hierarchy
- Algebro-geometric solutions of the Baxter-Szegő difference equation
- A New Integrable Nonlinear Evolution Equation
- The Nonlinear Evolution Equations Related to the Wadati-Konno-Ichikawa Spectral Problem
- A Generalization of Inverse Scattering Method
- New Integrable Nonlinear Evolution Equations
- Quasiperiodic solutions of Jaulent-Miodek equations with a negative flow
- Quasi-Periodic Solutions of Nonlinear Evolution Equations Associated with a 3 × 3 Matrix Spectral Problem
- Theta functions and non-linear equations
- The WKI Model of Type II Arises from Motion of Curves inE3
- Painleve analysis of the non-linear Schrodinger family of equations
- Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach
- An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
- A completely integrable system and parametric representation of solutions of the Wadati–Konno–Ichikawa hierarchy
- Quasi-Periodic Solutions of the Relativistic Toda Hierarchy
- QUASI-PERIODIC SOLUTIONS OF THE DISCRETE mKdV HIERARCHY
- Soliton solutions and quasiperiodic solutions of modified Korteweg–de Vries type equations
- Tri-Hamiltonian duality between the Wadati-Konno-Ichikawa hierarchy and the Song-Qu-Qiao hierarchy
- Integrable theories and generalized graded Maillet algebras
- Algebro-geometric Quasi-periodic Solutions to the Three-Wave Resonant Interaction Hierarchy
- Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
This page was built for publication: Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications
