T. Bo et Yt. Gao, TRUNCATED PAINLEVE EXPANSION WITH SYMBOLIC COMPUTATION FOR A GENERAL KADOMTSEV-PETVIASHVILI EQUATION WITH VARIABLE-COEFFICIENTS, Zeitschrift fur Naturforschung. A, A journal of physical sciences, 51(3), 1996, pp. 175-178
Able to realistically model various physical situations, the variable-
coefficient generalizations of the celebrated Kadmotsev-Petviashvili e
quation are of current interest in physical and mathematical sciences.
In this paper, we make use of both the truncated Painleve expansion a
nd symbolic computation to obtain an auto-Backlund transformation and
certain soliton-typed explicit solutions for a general Kadomtsev-Petvi
ashvili equation with variable coefficients.