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Lump Solutions of Kadomtsev-Petviashvili I Equation in Non-uniform Media |
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| Authors: | ZHU Xiao-Ming ZHANG Da-Jun CHEN Deng-Yuan |
| Affiliation: | Department of Mathematics, Shanghai University, Shanghai 200444, China |
| Abstract: | N-lump solutions of the Kadomtsev-Petviashvili I equation in non-uniform media are derived through the inverse scattering transform. The obtained solutions describe lump waves with time-dependent amplitudes and velocities. Dynamics of 1-lump wave and interactions of two lump wave are illustrated. |
| Keywords: | non-isospectral Kadomtsev-Petviashvili I equation inverse scattering transform lump solutions |
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