Rabelo, Mauro L.; Tenenblat, Keti A classification of pseudospherical surface equations of type \(u_ t=u_{xxx}+G(u,u_ x,u_{xx}\)). (English) Zbl 0755.35121 J. Math. Phys. 33, No. 2, 537-549 (1992). Summary: The equations of type \(u_ t=u_{xxx}+G(u,u_ x,u_{xx})\) which describe \(\eta\)-pseudospherical surfaces are characterized. A new class of such equations is obtained. This class together with the Korteweg-de Vries (KdV) equation, the modified Korteweg-de Vries (MKdV) equation, and the linear equation completes the classification. Cited in 20 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) Keywords:modified Korteweg-de Vries equation PDFBibTeX XMLCite \textit{M. L. Rabelo} and \textit{K. Tenenblat}, J. Math. Phys. 33, No. 2, 537--549 (1992; Zbl 0755.35121) Full Text: DOI References: [1] DOI: 10.1002/sapm198674155 · Zbl 0605.35080 · doi:10.1002/sapm198674155 [2] DOI: 10.1002/sapm1987772103 · Zbl 0642.35017 · doi:10.1002/sapm1987772103 [3] DOI: 10.1002/sapm1989813221 · Zbl 0696.35111 · doi:10.1002/sapm1989813221 [4] DOI: 10.1002/sapm1974534249 · Zbl 0408.35068 · doi:10.1002/sapm1974534249 [5] DOI: 10.1063/1.528727 · Zbl 0711.35085 · doi:10.1063/1.528727 [6] DOI: 10.1137/0142025 · Zbl 0488.76099 · doi:10.1137/0142025 [7] DOI: 10.1007/BF00046886 · Zbl 0683.58025 · doi:10.1007/BF00046886 [8] DOI: 10.1063/1.528020 · Zbl 0695.35038 · doi:10.1063/1.528020 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.