Inverse spectral transform for the Harry Dym equation on the complex plane

DOI10.1016/0167-2789(94)00153-HzbMath0900.35342OpenAlexW2012394615MaRDI QIDQ1344708

B. G. Konopelchenko, Jyh-Hao Lee

Publication date: 13 February 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)00153-h

zbMATH Keywords

essential singularityHarry Dym equation\(\overline{\partial}\)-dressing method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Analyticity in context of PDEs (35A20) Solutions to PDEs in closed form (35C05)

Related Items (5)

Multisoliton solutions of the \((2+1)\)-dimensional Harry Dym equation ⋮ Soliton solutions of the \((2+1)\)-dimensional Harry Dym equation via Darboux transformation ⋮ Dirichlet series and the integrability of multilinear differential equations ⋮ Bi-Hamiltonian aspects of a matrix Harry Dym hierarchy ⋮ Hidden hierarchies of KdV type on Birkhoff strata

Cites Work

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• Dynamics of a complex interface
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• On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
• The non-local delta problem and (2+1)-dimensional soliton equations
• Explicit solutions for the Harry Dym equation
• Complex variable methods in Hele–Shaw moving boundary problems
• The higher-times approach to multisoliton solutions of the Harry Dym equation
• The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
• A matrix spectral problem in one complex space dimension
• Linear spectral problems, non-linear equations and the δ-method

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