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TWO-SOLITARY WAVE SOLUTION OF A (2+1)-DIMENSIONAL GENERALIZED KP EQUATION WITH GENERAL VARIABLE COEFFICIENTS
Author(s) : Xiang-Zheng Li, Jin-Liang Zhang and Ming-Liang Wang
Pages : [133] - [142]
Received : July 1, 2017; Revised August 16, 2017
Pages : [133] - [142]
Received : July 1, 2017; Revised August 16, 2017
Abstract
A generalized KP equation with general variable coefficients (gvcKP) has been reduced to the variable coefficients KdV equation (vcKdV) by a transformation of variables. Since the single solitary wave solution and 2-solitary wave solution of the vcKdV have been known already, substituting the solutions of the vcKdV into the corresponding transformation of variables, the single and 2-solitary wave solutions of the gvcKP can be obtained successfully.
Keywords
2-solitary wave solution, generalized KP equation with general variable coefficients, vcKP equation, cylindrical KP equation, reduction of dimensionality, transformation of variables.