The gauge transformation of the q-deformed modified KP hierarchy
From MaRDI portal
Publication:5230963
DOI10.1080/14029251.2014.975526zbMath1420.35310OpenAlexW2071263296MaRDI QIDQ5230963
Jinzheng Wang, Jipeng Cheng, Xing-Yong Zhang
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14029251.2014.975526
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)
Related Items
Solving the constrained modified KP hierarchy by gauge transformations ⋮ Gauge transformations of constrained discrete modified KP systems with self-consistent sources ⋮ The gauge transformations of the constrained \(q\)-deformed modified KP hierarchy and their relations with the additional symmetries ⋮ Gauge Transformation for BC r -KP Hierarchy and Its Compatibility with Additional Symmetry ⋮ Miura and auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies ⋮ The gauge transformation of the modified KP hierarchy
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solving bi-directional soliton equations in the KP hierarchy by gauge transformation
- The determinant representation of the gauge transformation for the discrete KP hierarchy
- Tau function solutions to a \(q\)-deformation of the KP hierarchy
- Solving the KP hierarchy by gauge transformations
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- Darboux theorems and Wronskian formulas for integrable systems. I: Constrained KP flows
- On the \(q\)-deformed modified Korteweg-de Vries hierarchy
- On Darboux-Bäcklund transformations for the \(q\)-deformed Korteweg-de Vries hierarchy
- Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras
- String equations of the \( q \)-KP hierarchy
- Darboux-Bäcklund solutions of \(\text{SL}(p,q)\) KP-KdV hierarchies, constrained generalized Toda lattices, and two-matrix string model
- The solution to the \(q\)-KdV equation
- The applications of the gauge transformation for the BKP hierarchy
- Symmetric \(q\)-deformed KP hierarchy
- \(q\)-deformed KP hierarchy and \(q\)-deformed constrained KP hierarchy
- \(q\)-analogue of modified KP hierarchy and its quasi-classical limit
- Theq-deformed mKP hierarchy with self-consistent sources, Wronskian solutions and solitons
- Gauge transformations for the constrained CKP and BKP hierarchies
- A new extended q-deformed KP hierarchy
- GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS
- Binary Darboux transformations for constrained KP hierarchies
- Solving the constrained KP hierarchy by gauge transformations
- Theqdeformation of AKNS-D hierarchy
- Two choices of the gauge transformation for the AKNS hierarchy through the constrained KP hierarchy
