Symbolic-computation study of integrable properties for the (2+1)-dimensional Gardner equation with the two-singular-manifold method

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dc.creatorZhang, Hai-Qiang
dc.creatorLi, Juan
dc.creatorXu, Tao
dc.creatorZhang, Ya-Xing
dc.creatorTian, Bo
dc.date2007-07-05
dc.date.accessioned2026-07-07T08:14:10Z
dc.date.available2026-07-07T08:14:10Z
dc.descriptionThe singular manifold method from the Painleve analysis can be used to investigate many important integrable properties for the nonlinear partial differential equations.In this paper, the two-singular-manifold method is applied to the (2+1)-dimensional Gardner equation with two Painleve expansion branches to determine the Hirota bilinear form, Backlund transformation, Lax pairs and Darboux transformation. Based on the obtained Lax pairs, the binary Darboux transformation is constructed and the N N Grammian solution is also derived by performing the iterative algorithm Ntimes with symbolic computation.
dc.identifierhttps://arxiv.org/abs/0707.0787
dc.identifierhttp://arxiv.org/abs/0707.0787
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133025
dc.subjectExactly Solvable and Integrable Systems
dc.subjectPattern Formation and Solitons
dc.titleSymbolic-computation study of integrable properties for the (2+1)-dimensional Gardner equation with the two-singular-manifold method
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