Vandermonde-like determinants and N-fold Darboux/Bäcklund transformations

DOI10.1063/1.532115zbMath0889.15005OpenAlexW1998043588MaRDI QIDQ4370768

H. Steudel, Reinhard Meinel, Gernot Neugebauer

Publication date: 22 June 1998

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

Full work available at URL: https://doi.org/10.1063/1.532115

zbMATH Keywords

Darboux-Bäcklund transformationsVandermonde-like determinants\(N\)-soliton formulas

Mathematics Subject Classification ID

Related Items (11)

Vadermonde-Type Odd-Soliton Solutions for the Whitham–Broer–Kaup Model in the Shallow Water Small-Amplitude Regime ⋮ Multi-solitonic solutions for the variable-coefficient variant Boussinesq model of the nonlinear water waves ⋮ Determinant representation of Darboux transformation for the AKNS system ⋮ Solving soliton equations with self-consistent sources by method of variation of parameters ⋮ Gauge transformation, elastic and inelastic interactions for the Whitham-Broer-Kaup shallow-water model ⋮ The \(n\)-fold Darboux transformation for the Kundu-Eckhaus equation and dynamics of the smooth positon solutions ⋮ Explicit \(N\)-fold Darboux transformation and multi-soliton solutions for the \((1 + 1)\)-dimensional higher-order Broer-Kaup system ⋮ Differentially rotating disks of dust: Arbitrary rotation law ⋮ DARBOUX TRANSFORMATION AND VARIOUS SOLUTIONS FOR A NONLINEAR EVOLUTION EQUATION IN (3 + 1)-DIMENSIONS ⋮ On Darboux transformations for the derivative nonlinear Schrödinger equation ⋮ Spectral analysis of Darboux transformations for the focusing NLS hierarchy

Cites Work

• Darboux transformations for ``W-problems
• Algebraisch spezielle Einstein-Räume mit einer Bewegungsgruppe
• Application of the Darboux transformation to inverse problems with variable spectral parameters
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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