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Search: authors:"Jian-Guo Liu"

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Auto-B├Ącklund transformation and new exact solutions of the (3+1)-dimensional KP equation with variable coefficients

The (3+1)-dimensional variable coefficient Kadomtsev-Petviashvilli equation describes the dynamics of solitons and nonlinear waves in plasmas and superfluids. Based on computerized symbolic computation and extended variable coefficient homogeneous balance method, several families of exact soliton-like solutions, rational solutions, and auto-B├Ącklund transformation are presented...