High dimensional Schwartz Caudrey-Dobb-Gibbon system: Painleve integrability and exact solutions
Abstract
The usual (1+1)-dimensional Schwartz Caudrey-Dobb-Gibbon equation is extended to the general (n+1)-dimensional system. A singularity structure analysis for the extension system is carried out. It demonstrates that the extension system admits the Painleve property. The exact solutions for the extension system are obtained with the Painleve-Backlund transformation. In the meanwhile, some properties of the soliton solutions for the extension system are shown by some figures
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