The moutard transformation for the Davey-Stewartson II equation and its geometrical meaning

DOI10.1134/S0001434621110122zbMath1497.35408arXiv2111.07251WikidataQ114075406 ScholiaQ114075406MaRDI QIDQ2063662

Iskander A. Taimanov

Publication date: 11 January 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.07251

zbMATH Keywords

Davey-Stewartson equationMoutard transformationsurfaces in four-dimensional space

Mathematics Subject Classification ID

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Surfaces via spinors and soliton equations ⋮ On a formation of singularities of solutions to soliton equations represented by \textit{L, a, B}-triples ⋮ The periodic N breather anomalous wave solution of the Davey–Stewartson equations; first appearance, recurrence, and blow up properties

Cites Work

• Unnamed Item
• Moutard transform for generalized analytic functions
• The Moutard transformation of two-dimensional Dirac operators and the conformal geometry of surfaces in four-dimensional space
• Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy
• Moutard transforms for the conductivity equation
• Two-dimensional von Neumann-Wigner potentials with a multiple positive eigenvalue
• The Moutard transformation of two-dimensional Dirac operators and Möbius geometry
• Surfaces in the four-space and the Davey-Stewartson equations
• Blowing up solutions of the modified Novikov-Veselov equation and minimal surfaces
• IST Versus PDE: A Comparative Study
• Two-dimensional Schrödinger operators with fast decaying potential and multidimensional $ L_2$-kernel
• Exact blow-up solutions to the Cauchy problem for the Davey–Stewartson systems
• Darboux transforms for Davey-Stewartson equations and solitons in multidimensions
• Modified Novikov--Veselov equation and differential geometry of surfaces
• Darboux transformation for the modified Veselov-Novikov equation
• On three-dimensional packets of surface waves
• Induced Surfaces and Their Integrable Dynamics
• Creation and annihilation of point-potentials using Moutard-type transform in spectral variable
• Two-dimensional Dirac operator and the theory of surfaces
• Blowing up solutions of the Novikov-Veselov equation

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