Twisted hierarchies associated with the generalized sine-Gordon equation

DOI10.1063/1.3633526zbMath1272.35177arXiv1103.6077OpenAlexW2002768628MaRDI QIDQ2849763

Hui Ma, Derchyi Wu

Publication date: 24 September 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.6077

zbMATH Keywords

Gauss-Codazzi equationshigher flowstwisted hierarchies

Mathematics Subject Classification ID

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) Twistor methods in differential geometry (53C28) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

Related Items (1)

A twisted integrable hierarchy with $\mathbb D_2$D2 symmetry

Cites Work

• Isometric immersions of pseudo-Riemannian space forms
• On the classification of automorphic Lie algebras
• The reduction problem and the inverse scattering method
• Nonlinear Schrödinger equations and simple Lie algebras
• Submanifolds of constant sectional curvature in pseudo-Riemannian manifolds
• A higher dimension generalization of the Sine-Gordon equation and its soliton theory
• Bäcklund's theorem for \(n\)-dimensional submanifolds of \(R^{2n-1}\)
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Bäcklund transformations for a class of systems of differential equations
• Isothermic surfaces in \(\mathbf E^3\) as soliton surfaces
• Reduction groups and automorphic Lie algebras
• N -wave interactions related to simple Lie algebras. ℤ ₂ -reductions and soliton solutions
• On the Solution of the Generalized Wave and Generalized Sine-Gordon Equations
• Reductions of integrable equations onA.III-type symmetric spaces
• Flat Connections and Scattering Theory on the Line
• Scattering and inverse scattering for first order systems
• The construction of hyperbolic surfaces in 3 dimensional minkowski space and sinh-laplace equation
• Bäcklund transformations and loop group actions
• Reductions of integrable equations: dihedral group
• Inverse Scattering and the Bäcklund Transformation for the Generalized Wave and Generalized Sine‐Gordon Equations

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