On the Darboux matrices of Bäcklund transformations for AKNS systems
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Publication:1103120
DOI10.1007/BF00423444zbMath0645.35086OpenAlexW2061638747MaRDI QIDQ1103120
Publication date: 1987
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00423444
Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (23)
Several exact solutions of the reduced fourth-order flow equation of the Kaup-Newell system ⋮ N-fold Darboux Transformation for Integrable Couplings of AKNS Equations ⋮ Determinant representation of Darboux transformation for the AKNS system ⋮ Symmetry groups, similarity reductions, and conservation laws of the time-fractional Fujimoto-Watanabe equation using Lie symmetry analysis method ⋮ Darboux transformation for nonlinear Schrödinger type hierarchies ⋮ Solitary waves of the generalized KdV equation with distributed delays ⋮ Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data ⋮ A two-component generalization of the Camassa-Holm equation and its solutions ⋮ The \(n\)-fold Darboux transformation for the Kundu-Eckhaus equation and dynamics of the smooth positon solutions ⋮ Darboux transformation for the non-isospectral AKNS hierarchy and its asymptotic property ⋮ Differential equations in the spectral parameter for matrix differential operators ⋮ Evolution of the scattering data under the classical Darboux transform for \(su(2)\) soliton systems ⋮ Darboux transformation for the nonisospectral AKNS system ⋮ The Lax representation and Darboux transformation for constrained flows of the AKNS hierarchy ⋮ On the Treves theorem for the Ablowitz–Kaup–Newell–Segur equation ⋮ Explicit Solutions to an Integrable Lattice ⋮ Two families of Liouville integrable lattice equations ⋮ Solitary waves for Korteweg-de Vries equation with small delay ⋮ Bäcklund transformations for the isospectral and nonisospectral AKNS hierarchies ⋮ Binary Darboux transformations of the supersymmetric Heisenberg magnet model ⋮ On the Darboux transformation for \(1+2\)-dimensional equations ⋮ The Generalized Version of Dressing Method with Applications to AKNS Equations ⋮ Darboux transformation of the second-type derivative nonlinear Schrödinger equation
Cites Work
- A unified explicit form of Bäcklund transformations for generalized hierarchies of KdV equations
- On the Bäcklund transformations for the generalized hierarchies of compound MKdV-SG equations
- Bäcklund transformations and their applications
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
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