Darboux transformations of the modified BKP hierarchy by fermionic approach
DOI10.1063/5.0167984OpenAlexW4387335237MaRDI QIDQ6087447
Unnamed Author, Jipeng Cheng, Unnamed Author, Unnamed Author
Publication date: 12 December 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0167984
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 equations (35Q51) 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)
Cites Work
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- Gromov-Witten theory of Fano orbifold curves, gamma integral structures and ADE-Toda hierarchies
- Generalized Bäcklund-Darboux transformations for Coxeter-Toda flows from a cluster algebra perspective
- Solitons and infinite dimensional Lie algebras
- Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
- Intersection theory on the moduli space of curves and the matrix Airy function
- A matrix integral solution to two-dimensional \(W_ p\)-gravity
- Solving the KP hierarchy by gauge transformations
- Method of squared eigenfunction potentials in integrable hierarchies of KP type
- Partial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions
- On the modified KP hierarchy: tau functions, squared eigenfunction symmetries and additional symmetries
- Fermionic approach to weighted Hurwitz numbers and topological recursion
- BKP hierarchy and Pfaffian point process
- Matrix model for the total descendant potential of a simple singularity of type \(D\)
- Miura and Darboux transformations in the SUSY KP hierarchies
- The Davey-Stewartson I equation: doubly localized two-dimensional rogue lumps on the background of homoclinic orbits or constant
- \( \underline{p} \)-reduced multicomponent KP hierarchy and classical \(\mathcal{W} \)-algebras \(\mathcal{W}(\mathfrak{gl}_N,\underline{p})\)
- The applications of the gauge transformation for the BKP hierarchy
- Towards a categorical boson-fermion correspondence
- Pfaffian formulas and Schur \(Q\)-function identities
- Enumerative geometry, tau-functions and Heisenberg-Virasoro algebra
- A categorification of the boson-fermion correspondence via representation theory of \(sl(\infty)\)
- Kadomtsev-Petviashvili equation: one-constraint method and lump pattern
- Bilinear equations in Darboux transformations by boson-fermion correspondence
- Q-polynomial expansion for Brézin-Gross-Witten tau-function
- Tau Functions and their Applications
- Darboux Transformations and Random Point Processes: Fig. 1.
- The fermionic approach to Darboux transformations
- GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS
- BKP tau-functions as square roots of KP tau-functions
- The gauge transformation of the modified KP hierarchy
- Modified DKP hierarchy as modified BKP hierarchy
- The generalized Giambelli formula and polynomial KP and CKP tau-functions
- Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras
- Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model
- Symmetries and bilinear equations for the modified BKP hierarchy
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