Painleve Property and New Analytic Solutions for a Variable-Coefficient Kadomtsev--Petviashvili Equation with Symbolic Computation
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Abstract
A variable-coefficient Kadomtsev--Petviashvili equation is investigated. The Painleve analysis leads to its explicit Painleve-integrable conditions. An auto-Backlund transformation and the bilinear form are presented via the truncated Painleve expansion and symbolic computation. Several families of new analytic
solutions are presented, including the soliton-like and periodic solutions.
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