Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation
From MaRDI portal
Publication:6089583
DOI10.1111/sapm.12580arXiv2210.02265OpenAlexW4372324181MaRDI QIDQ6089583
Vincent Caudrelier, Unnamed Author, Barbara Prinari
Publication date: 15 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.02265
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Well-posedness results for the short pulse equation
- Exact soliton solutions to a new coupled integrable short light-pulse system
- Wave breaking in the short-pulse equation
- Some periodic and solitary travelling-wave solutions of the short-pulse equation
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- Yang-Baxter maps and integrable dynamics
- Complex short pulse and coupled complex short pulse equations
- Propagation of ultra-short optical pulses in cubic nonlinear media
- The interaction solitons for the complex short pulse equation
- Factorization problems on rational loop groups, and the Poisson geometry of Yang-Baxter maps
- Darboux transformation and solitonic solution to the coupled complex short pulse equation
- Long-time asymptotic behavior for the complex short pulse equation
- Set-theoretic Yang-Baxter \& reflection equations and quantum group symmetries
- The bi-Hamiltonian structure of the short pulse equation
- Dressing method for the multicomponent short-pulse equation
- Complex short-pulse solutions by gauge transformation
- Invariants in separated variables: Yang-Baxter, entwining and transfer maps
- The short pulse equation by a Riemann-Hilbert approach
- Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation
- Regular and singular pulse and front solutions and possible isochronous behavior in the short-pulse equation: phase-plane, multi-infinite series and variational approaches
- From the Real and Complex Coupled Dispersionless Equations to the Real and Complex Short Pulse Equations
- A Generalization of Inverse Scattering Method
- New Integrable Nonlinear Evolution Equations
- A novel multi-component generalization of the short pulse equation and its multisoliton solutions
- Entwining Yang-Baxter maps and integrable lattices
- An integrable coupled short pulse equation
- The short pulse hierarchy
- On exact solutions of the Schäfer–Wayne short pulse equation: WKI eigenvalue problem
- Bäcklund Transformations and Inverse Scattering Solutions for Some Pseudospherical Surface Equations
- Global Well-Posedness of the Short-Pulse and Sine–Gordon Equations in Energy Space
- On the propagation of vector ultra-short pulses
- On some unsolved problems in quantum group theory
- Bäcklund transformations and loop group actions
- The Short Pulse Equation Is Integrable
- A coupled focusing-defocusing complex short pulse equation: Multisoliton, breather, and rogue wave
- Soliton interactions in the vector NLS equation
- Category of nonlinear evolution equations, algebraic structure, and r-matrix
- A completely integrable system and parametric representation of solutions of the Wadati–Konno–Ichikawa hierarchy
- Set-theoretical reflection equation: classification of reflection maps
- PROJECTIVE LOOPS GENERATE RATIONAL LOOP GROUPS
- Yang–Baxter and reflection maps from vector solitons with a boundary
- Integrable semi-discretization of a multi-component short pulse equation
- Poisson Yang-Baxter maps with binomial Lax matrices
- Solitary wave solutions of the short pulse equation
- Periodic solutions of the short pulse model equation
- Entwining Yang–Baxter maps related to NLS type equations
