Isothermic Surfaces Generated via Bäcklund and Moutard Transformations: Boomeron and Zoomeron Connections

DOI10.1111/1467-9590.00003zbMath1152.53306OpenAlexW2001820323MaRDI QIDQ4784773

Antonio Degasperis, Wolfgang K. Schief, Colin Rogers

Publication date: 11 December 2002

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.00003

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99) Surfaces in Euclidean and related spaces (53A05)

Related Items (1)

Novel integrable reductions in nonlinear continuum mechanics via geometric constraints

Cites Work

• Cyclides in computer aided geometric design
• On cyclides in geometric modeling
• Cyclides in pure blending I
• Cyclides in pure blending II
• Supercyclides and blending
• Construction of Bézier rectangles and triangles on the symmetric Dupin horn cyclide by means of inversion
• Dupin hypersurfaces and integrable Hamiltonian systems of hydrodynamic type which do not possess Riemann invariants
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• First and second order nonlinear evolution equations from an inverse spectral problem
• Isothermic Surfaces in Spaces of Arbitrary Dimension: Integrability, Discretization, and Bäcklund Transformations—A Discrete Calapso Equation
• Wave Instabilities

This page was built for publication: Isothermic Surfaces Generated via Bäcklund and Moutard Transformations: Boomeron and Zoomeron Connections