Duality of positive and negative integrable hierarchies via relativistically invariant fields
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Publication:1981455
DOI10.1007/JHEP07(2021)058zbMath1468.81056arXiv2103.04549OpenAlexW3133500823MaRDI QIDQ1981455
Publication date: 3 September 2021
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.04549
KdV equations (Korteweg-de Vries equations) (35Q53) Groups and algebras in quantum theory and relations with integrable systems (81R12) Special relativity (83A05)
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Cites Work
- Unnamed Item
- Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation
- Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation
- Integrable nonlinear Klein-Gordon equations and Toda lattices
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Method of squared eigenfunction potentials in integrable hierarchies of KP type
- Nonclassical symmetry reductions of the Boussinesq equation
- A duality web in \(2+1\) dimensions and condensed matter physics
- Bukhvostov-Lipatov model and quantum-classical duality
- Interactions among different types of nonlinear waves described by the Kadomtsev-Petviashvili equation
- Integrable Hamiltonian systems and interactions through quadratic constraints
- Applications of KdV
- Five-wave classical scattering matrix and integrable equations
- A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
- Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
- Nonlocal symmetries related to Bäcklund transformation and their applications
- Nonlinear-Evolution Equations of Physical Significance
- Symmetries and conditional symmetries of differential-difference equations
- Similarity solutions of the Kadomtsev-Petviashvili equation
- Similarity reductions of the KP equation by a direct method
- Nonlocal Symmetries for Bilinear Equations and Their Applications
- New similarity reductions of the Boussinesq equation
- The dispersionless 2D Toda equation: dressing, Cauchy problem, longtime behaviour, implicit solutions and wave breaking
- On the solutions of the second heavenly and Pavlov equations
- The classification of all ℋ spaces admitting a Killing vector
- On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ
- Geometric theory of local and non-local conservation laws for the sine-Gordon equation
- Killing vectors in self-dual, Euclidean Einstein spaces
- A new hierarchy of Korteweg–de Vries equations
- Evolution equations possessing infinitely many symmetries
- Einstein-Weyl spaces and SU(∞) Toda fields
- Conformal invariance and integrable models
- Symmetry algebras of the potential Nizhnik–Novikov–Veselov model
- Symmetries of the Kadomtsev-Petviashvili equation
- Abundant symmetries for the 1+1 dimensional classical Liouville field theory
- Algorithms for the Nonclassical Method of Symmetry Reductions
- Infinitely many Lax pairs and symmetry constraints of the KP equation
- Negative Kadomtsev–Petviashvili Hierarchy
- Generalized symmetries and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">w</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>algebras in three-dimensional Toda field theory
- Method for Solving the Korteweg-deVries Equation
- Unified approach to strings and vortices with soliton solutions
- Non-local symmetries via Darboux transformations
- Remarks on several 2+1 dimensional lattices
- Twistor theory of hyper-Kähler metrics with hidden symmetries
- Generalized symmetries and algebras of the two-dimensional differential-difference Toda equation
- Symmetries and algebras of the integrable dispersive long wave equations in (2+1)-dimensional spaces
- From the special 2 + 1 Toda lattice to the Kadomtsev-Petviashvili equation
- Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates
- Primary Branch Solutions of First Order Autonomous Scalar Partial Differential Equations via Lie Symmetry Approach
- On a class of integrable systems of Monge-Ampère type
- Multi-Hamiltonian structure of Plebanski's second heavenly equation
- C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy
- Hyper-Kähler hierarchies and their twistor theory
