Moving boundary problems for an extended Dym equation. Reciprocal connection
From MaRDI portal
Publication:1696551
DOI10.1007/s11012-017-0662-9zbMath1380.35169OpenAlexW2601319091MaRDI QIDQ1696551
Publication date: 14 February 2018
Published in: Meccanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11012-017-0662-9
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) PDEs in connection with mechanics of deformable solids (35Q74) Moving boundary problems for PDEs (35R37)
Related Items (6)
On a canonical nine-body problem. Integrable Ermakov decomposition via reciprocal transformations ⋮ On transport through heterogeneous media: application of conjugated reciprocal transformations ⋮ A class of moving boundary problems with a source term: application of a reciprocal transformation ⋮ On integrable Ermakov-Painlevé IV systems ⋮ Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation ⋮ On Stefan-type moving boundary problems with heterogeneity: canonical reduction via conjugation of reciprocal transformations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a class of reciprocal Stefan moving boundary problems
- The Da Rios system under a geometric constraint: the Gilbarg problem
- Moving boundary problems for the Harry Dym equation and its reciprocal associates
- Bäcklund transformations and their applications
- The (3+1)-dimensional Monge-Ampère equation in discontinuity wave theory: Application of a reciprocal transformation
- On a class of moving boundary problems in non-linear heat conduction: application of a Bäcklund transformation
- On a Painlevé II model in steady electrolysis: Application of a Bäcklund transformation
- Emergent behaviour in electrodiffusion: Planck's other quanta
- Evolution of methacrylate distribution during wood saturation
- Reciprocal relations in non-steady one-dimensional gasdynamics
- Invariant transformations in non-steady gasdynamics and magneto- gasdynamics
- Bäcklund flux quantization in a model of electrodiffusion based on Painlevé II
- Explicit solutions to phase change problems
- Derivation and implicit solution of the Harry Dym equation and its connections with the Korteweg-de Vries equation
- An extended Harry Dym hierarchy
- Electrical structures of interfaces: a Painlevé II model
- Application of a reciprocal transformation to a two-phase Stefan problem
- Reciprocal-type transformations in magnetogasdynamics
- A symmetry approach to exactly solvable evolution equations
- Explicit solutions for the Harry Dym equation
- A Hele-Shaw problem and the second Painlevé transcendent
- GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS
- A unified transform method for solving linear and certain nonlinear PDEs
- On reciprocal properties of the Caudrey-Dodd-Gibbon and Kaup-Kupershmidt hierarchies
- On Reciprocal Bäcklund Transformations and the Korteweg-deVries Hierarchy
- On Reciprocal Bäcklund Transformations of Inverse Scattering Schemes
- Transformations for the Camassa-Holm Equation, Its High-Frequency Limit and the Sinh-Gordon Equation
- An integrable shallow water equation with peaked solitons
- Evolution of Hele-Shaw interface for small surface tension
- Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces
- An inequality for the coefficient 𝜎 of the free boundary 𝑠(𝑡)=2𝜎√𝑡 of the Neumann solution for the two-phase Stefan problem
- Intrinsic Geometry of the NLS Equation and Its Auto‐Bäcklund Transformation
- A soliton on a vortex filament
- Heat Conduction in Simple Metals
- A modified modified Korteweg-de Vries equation
- Integrable equations arising from motions of plane curves
This page was built for publication: Moving boundary problems for an extended Dym equation. Reciprocal connection