Prolongation structures for Harry Dym type equations and Backlund transformations of CC ideals
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Publication:4008153
DOI10.1088/0305-4470/25/3/018zbMath0753.35080OpenAlexW1981053415MaRDI QIDQ4008153
Cornelius Hoenselaers, Wolfgang K. Schief
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/10.1088/0305-4470/25/3/018
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) KdV equations (Korteweg-de Vries equations) (35Q53) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
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Loop soliton interaction in an integrable nonlinear telegraphy model: reciprocal and Bäcklund transformations ⋮ Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves ⋮ Robinson–Trautman solutions with scalar hair and Ricci flow ⋮ Infinite-dimensional Estabrook–Wahlquist prolongations for the sine-Gordon equation ⋮ The Hamiltonian structure and new finite-dimensional integrable system associated with Harry-Dym type equations ⋮ Nonlocal conservation laws of the constant astigmatism equation ⋮ Prolongations to higher jets of Estabrook-Wahlquist coverings for PDE's
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