Auto-Backlund Transformation and Exact Solutions to the Generalized Kadomtsev-Petviashvili Equation with Variable Coefficients |
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Authors: | HUANG Ding-Jiang and ZHANG Hong-Qing |
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Institution: | 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-B\"{a}cklund transformation(BT) to the
generalized Kadomtsev-Petviashvili equation with variable
coefficients (VCGKP) are obtained. And making use of the auto-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 KP equation and
cylindrical KP equation are all special cases of the VCGKP
equation, and the corresponding results of these equations are
also given respectively. |
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Keywords: | generalized Kadomtsev-Petviashvili equation auto-B\"{a}cklund transformation exact solutions soliton-like solutions homogeneous balance method |
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