On the dispersionless Davey–Stewartson hierarchy: Zakharov–Shabat equations, twistor structure, and Lax–Sato formalism
DOI10.1002/zamm.202100435arXiv1812.10220OpenAlexW4280623795MaRDI QIDQ6192706
Publication date: 11 March 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.10220
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation
- Recursion operators and bi-Hamiltonian structures in multidimensions. II
- Recursion operators and bi-Hamiltonian structures in multidimensions. I
- SDiff(2) Toda equation --- hierarchy, tau function, and symmetries
- The dispersionless Lax equations and topological minimal models
- Dispersionless hierarchies, Hamilton-Jacobi theory and twistor correspondences
- Dispersionless Toda hierarchy and two-dimensional string theory
- Toda lattice hierarchy and generalized string equations
- Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy
- On the dispersionless Davey-Stewartson system: Hamiltonian vector field Lax pair and relevant nonlinear Riemann-Hilbert problem for dDS-II system
- Universal Whitham hierarchy, dispersionless Hirota equations and multicomponent KP hierarchy
- Surfaces in the four-space and the Davey-Stewartson equations
- Three-dimensional inverse scattering for the wave equation with variable speed: near-field formulae using point sources
- On the infinite-dimensional symmetry group of the Davey–Stewartson equations
- Singularity-structure analysis and Hirota's bilinearisation of the Davey-Stewartson equation
- Two-dimensional lumps in nonlinear dispersive systems
- On the soliton solutions of the Davey-Stewartson equation for long waves
- SDIFF(2) KP HIERARCHY
- Infinite-dimensional symmetry algebras and an infinite number of conserved quantities of the (2+1)-dimensional Davey–Stewartson equation
- On three-dimensional packets of surface waves
- Induced Surfaces and Their Integrable Dynamics Ii. Generalized Weierstrass Representations in 4‐d Spaces and Deformations via Ds Hierarchy
- Symmetries and tau function of higher dimensional dispersionless integrable hierarchies
- Quasiclassical generalized Weierstrass representation and dispersionless DS equation
- On the solutions of the dKP equation: the nonlinear Riemann Hilbert problem, longtime behaviour, implicit solutions and wave breaking
- Symmetries of hyper-Kähler (or Poisson gauge field) hierarchy
This page was built for publication: On the dispersionless Davey–Stewartson hierarchy: Zakharov–Shabat equations, twistor structure, and Lax–Sato formalism
