Auto-B(a)cklund Transformation and Exact Solutions to the Generalized Kadomtsev-Petviashvili Equation with Variable Coefficients |
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Authors: | HUANG Ding-Jiang ZHANG Hong-Qing |
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Affiliation: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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Abstract: | By using the extended homogeneous balance method, a new auto-Backlund transformation(BT) to thegeneralized Kadomtsev-Petviashvili equation with variable coefficients (VCGKP) are obtained. And making use of theauto-BT and choosing a special seed solution, we get many families of new exact solutions of the VCGKP equations,which include single soliton-like solutions, multi-soliton-like solutions, and special-soliton-like solutions. Since the KPequation and cylindrical KP equation are all special cases of the VCGKP equation, and the corresponding results ofthese equations are also given respectively. |
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Keywords: | generalized Kadomtsev-Petviashvili equation auto-Backlund transformation exact solutions soliton-like solutions homogeneous balance method |
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