Integrable semi-discretization for a modified Camassa-Holm equation with cubic nonlinearity
DOI10.3842/SIGMA.2024.091MaRDI QIDQ6646226
Wei Yin, Hengchun Hu, Han-Han Sheng, Bao-Feng Feng, Guo-Fu Yu
Publication date: 29 November 2024
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
Cites Work
- Bilinear equations and new multi-soliton solution for the modified Camassa-Holm equation
- An integrable equation with nonsmooth solitons
- Oscillation-induced blow-up to the modified Camassa-Holm equation with linear dispersion
- Well-posedness of the modified Camassa-Holm equation in Besov spaces
- A soluble relativistic field theory
- On a class of physically important integrable equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Complex short pulse and coupled complex short pulse equations
- Lax integrability and the peakon problem for the modified Camassa-Holm equation
- On Hirota's difference equations
- Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
- Wave-breaking and peakons for a modified Camassa-Holm equation
- Stability of solitary waves for the modified Camassa-Holm equation
- On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions
- On the Cauchy problem for a modified Camassa-Holm equation
- Patched peakon weak solutions of the modified Camassa-Holm equation
- A two-component generalization of the Camassa-Holm equation and its solutions
- On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity
- Well-posedness, wave breaking and peakons for a modified \({\mu}\)-Camassa-Holm equation
- Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation
- The algebro-geometric solutions for the Fokas-Olver-Rosenau-Qiao (FORQ) hierarchy
- The Cauchy problem for the Fokas-Olver-Rosenau-Qiao equation
- Discrete systems and integrability
- Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation
- The dual modified Korteweg-de Vries-Fokas-Giao equation: geometry and local analysis
- A new integrable equation with cuspons and W/M-shape-peaks solitons
- An integrable semi-discretization of the Camassa–Holm equation and its determinant solution
- Integrable discretizations for the short-wave model of the Camassa–Holm equation
- Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy
- A Dispersive Regularization for the Modified Camassa--Holm Equation
- On reductions of the discrete Kadomtsev–Petviashvili-type equations
- Short wave limit of the Novikov equation and its integrable semi-discretizations
- A Riemann–Hilbert approach to the modified Camassa–Holm equation with nonzero boundary conditions
- On the blow-up of solutions to the integrable modified Camassa–Holm equation
- Lax Integrability of the Modified Camassa-Holm Equation and the Concept of Peakons
- Liouville Integrability of Conservative Peakons for a Modified CH equation
- Integrable semi-discretization of a multi-component short pulse equation
- A new integrable two-component system with cubic nonlinearity
- Integrable discretizations of the short pulse equation
- An integrable semi-discrete Degasperis–Procesi equation
- Bäcklund transformation and smooth multisoliton solutions for a modified Camassa-Holm equation with cubic nonlinearity
- Smooth and singular multisoliton solutions of a modified Camassa–Holm equation with cubic nonlinearity and linear dispersion
- The modified Camassa–Holm equation: Bäcklund transformation and nonlinear superposition formula
- Liouville correspondence between the modified KdV hierarchy and its dual integrable hierarchy
- An integrable semidiscretization of the modified Camassa–Holm equation with linear dispersion term
- Integrable semi-discretizations and self-adaptive moving mesh method for a generalized sine-Gordon equation
- On conservative sticky peakons to the modified Camassa-Holm equation
- A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations
This page was built for publication: Integrable semi-discretization for a modified Camassa-Holm equation with cubic nonlinearity
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6646226)