Application of Bell polynomials in variable-coefficient
 Gardner-KP equation

Abstract

Abstract: Using the Bell polynomials, Hirota bilinear form of variable-coefficient Gardner-KP equation is constructed. With the perturbation expansion method, single soliton solution, two- soliton solution and multiple soliton solution of the equation are obtained and the characteristic of the single solitary wave is analyzed. Meanwhile, the B?cklund transformations with parameters of the Gardner-KP equation in Bell polynomial and bilinear form are derived according to it’s bilinear equation.

Key words: basic optics; Bell polynomials; variable-coefficient Gardner-KP equation; solitary wave solution; B?cklund transformation

CLC Number:

O175.2

XU Xiaoge, ZHANG Xiaoyuan, MENG Xianghua. Application of Bell polynomials in variable-coefficient Gardner-KP equation [J]. J4, 2016, 33(6): 671-679.

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Application of Bell polynomials in variable-coefficient Gardner-KP equation

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