Explicit solutions for the Harry Dym equation

DOI10.1088/0305-4470/25/1/025zbMath0753.35077OpenAlexW2039709536MaRDI QIDQ4008125

Sandra Carillo, Thorsten Schulze, Benno Fuchssteiner

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1088/0305-4470/25/1/025

zbMATH Keywords

Korteweg-de Vries equationgroup theoretical structureKawamoto equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items (16)

Inverse spectral transform for the Harry Dym equation on the complex plane ⋮ Bäcklund transformations and non-abelian nonlinear evolution equations: a novel Bäcklund chart ⋮ Solving the Dym initial value problem in reproducing kernel space ⋮ Algebro-geometric solutions of the Harry Dym hierarchy ⋮ Haar wavelet methods for numerical solutions of Harry Dym (HD), BBM Burger's and 2D diffusion equations ⋮ A new integrable equation with no smooth solitons ⋮ Bounded traveling wave solutions and their relations for the generalized HD type equation ⋮ Nonlinear evolution equations: Bäcklund transformations and Bäcklund charts ⋮ Moving boundary problems for an extended Dym equation. Reciprocal connection ⋮ Parametric multi-soliton solutions of a generalized Harry-Dym type equation ⋮ A new integrable equation with peakons and cuspons and its bi-Hamiltonian structure ⋮ An approximate solution for a fractional model of generalized Harry Dym equation ⋮ KdV-type equations linked via Bäcklund transformations: remarks and perspectives ⋮ Noncommutative Korteweg–de Vries and modified Korteweg–de Vries hierarchies via recursion methods ⋮ Abelian versus non-abelian Bäcklund charts: some remarks ⋮ Matrix Solitons Solutions of the Modified Korteweg–de Vries Equation

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