Hierarchy of lower Korteweg–de Vries equations and supersymmetry structure of Miura transformations

DOI10.1063/1.530411zbMath0780.35096OpenAlexW2043666943MaRDI QIDQ3141354

M. V. Shmakova, V. A. Andreev

Publication date: 12 December 1993

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

Full work available at URL: https://doi.org/10.1063/1.530411

zbMATH Keywords

supersymmetryKP hierarchiesKorteweg-de Vries equationsmKdV hierarchiesKadomtsev-Petviashvili hierarchiesMiura's transformationsnegative degrees of Olver's operator

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Supersymmetry and quantum mechanics (81Q60) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (7)

On the nonlocal equations and nonlocal charges associated with the Harry Dym hierarchy ⋮ Hierarchy of negative order equation and its Lax pair ⋮ Variational principle for variable coefficients KdV equation ⋮ Negative order MKdV hierarchy and a new integrable Neumann-like system ⋮ Quasiperiodic solutions of the negative-order Korteweg-de Vries hierarchy ⋮ Soliton solutions for a negative order non-isospectral AKNS equation ⋮ GENERATING SYMMETRY OPERATORS FOR THE KdV EQUATION AND SEEKING THEIR SUPERSYMMETRIC GENERALIZATIONS

Cites Work

• Dynamical breaking of supersymmetry
• One generalization of the KdV and sine-Gordon differential equations
• Lower Korteweg-de Vries equations and supersymmetric structure of the sine-Gordon and Liouville equations
• Eigenfunction equations in Sato theory
• Negative powers of Olver recursion operators
• On SSQM and the U(N) non-linear Schrodinger equation
• ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
• On the integrability of modified Lax equations

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