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- W2079237078 abstract "The relation between the Chern and Tenenblat approach to conservation laws of equations describing pseudo-spherical surfaces (conservation laws from pseudo-spherical structure) and the more familiar “Riccati equation” approach (conservation laws from associated linear problem) is investigated. Two examples [cylindrical Korteweg–de Vries (KdV) and Lund–Regge equations] are presented. Chern and Tenenblat’s point of view is then connected with the theory of soliton surfaces. A generalization of the original Chern–Tenenblat construction of conservation laws results, and a reasonable family of large deformations for scalar equations describing pseudo-spherical surfaces, the “equations describing Calapso–Guichard surfaces,” can be introduced. It is shown that these equations are also the integrability condition of linear problems." @default.
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- W2079237078 date "2000-05-01" @default.
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- W2079237078 title "Conservation laws and Calapso–Guichard deformations of equations describing pseudo-spherical surfaces" @default.
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