An effective method to compute N-fold Darboux matrix and N-soliton surfaces

DOI10.1063/1.529165zbMath0741.53051OpenAlexW2105443387MaRDI QIDQ3987371

Jan L. Cieśliński

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529165

zbMATH Keywords

solitoninteractionDarboux matrixbackground wave function

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Applications of differential geometry to physics (53Z05) Applications of local differential geometry to the sciences (53B50)

Related Items (12)

The Darboux-Bianchi transformation for isothermic surfaces. Classical results versus the soliton approach ⋮ Intertwine operators and elementary Darboux transforms in differential rings and modules ⋮ Determinant representation of Darboux transformation for the AKNS system ⋮ M-lump solutions to the \((2+1)\)-dimensional generalized Calogero-Bogoyavlenshii-Schiff equation ⋮ The \(n\)-fold Darboux transformation for the Kundu-Eckhaus equation and dynamics of the smooth positon solutions ⋮ An algebraic method to construct the Darboux matrix ⋮ A generalized formula for integrable classes of surfaces in Lie algebras ⋮ Generalized Bäcklund-Darboux transformation: Spectral properties and nonlinear equations ⋮ Group interpretation of the spectral parameter in the case of nonhomogeneous, nonlinear Schrödinger system ⋮ Darboux-Bäcklund Transformations for Spin-Valued Linear Problems ⋮ N-fold Darboux transformations and soliton solutions of three nonlinear equations ⋮ Iterated Bäcklund-Darboux transformation and transfer matrix-function (nonisospectral case).

Cites Work

• A soliton on a vortex filament

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