Group interpretation of the spectral parameter in the case of nonhomogeneous, nonlinear Schrödinger system

DOI10.1063/1.530122zbMath0776.35069OpenAlexW2131398672MaRDI QIDQ4203218

Jan L. Cieśliński

Publication date: 8 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530122

zbMATH Keywords

Lie point transformationHeisenberg ferromagnet equation

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) NLS equations (nonlinear Schrödinger equations) (35Q55) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (11)

Integrability properties of the four-dimensional equation of universal hierarchy ⋮ On the (non)removability of spectral parameters in \(\mathbb{Z}_{2}\)-graded zero-curvature representations and its applications ⋮ Five-dimensional Lax-integrable equation, its reductions and recursion operator ⋮ Geometry of jet spaces and integrable systems ⋮ A generalized formula for integrable classes of surfaces in Lie algebras ⋮ On Bäcklund transformation for supersymmetric two-boson equation ⋮ Group interpretation of the spectral parameter. The case of isothermic surfaces. ⋮ On the spectral parameter problem ⋮ The four-dimensional Martínez Alonso-Shabat equation: differential coverings and recursion operators ⋮ Darboux-Bäcklund Transformations for Spin-Valued Linear Problems ⋮ Nontrivial 1-parameter families of zero-curvature representations obtained via symmetry actions

Cites Work

• Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
• Geometrical and gauge equivalence of the generalized Hirota, Heisenberg and WKIS equations with linear inhomogeneities
• Classically solvable field theory model
• An effective method to compute N-fold Darboux matrix and N-soliton surfaces

This page was built for publication: Group interpretation of the spectral parameter in the case of nonhomogeneous, nonlinear Schrödinger system