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In this paper, a variable-coefficient symbolic computation approach isproposed to solve the multiple rogue wave solutions of nonlinear equation withvariable coefficients. As an application, a (2+1)-dimensionalvariable-coefficient Kadomtsev-Petviashvili equation is investigated. Themultiple rogue wave solutions are obtained and their dynamics features areshown in some 3D and contour plots.

Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients