一类(1+1)维变系数复方程的可积性研究

Abstract

Abstract:

In this paper, we study the integrability of a (1+1)-dimensional variable coefficient complex equation based on the relationship between multi-dimensional binary bell polynomial and Hirota bilinear operator. Firstly, the bilinear form and bilinear Bäcklund transformation of the equation are constructed by appropriate transformation. Then the lax pair is obtained by Hopf-Cole transformation, which proves that the equation is Lax integrable.

Key words: (1+1)-dimensional variable coefficient complex equation, Bell polynomials, Hirota bilinear form, B?cklund transformation, Lax pair

CLC Number:

O175.29:文献标识码:A

Zhang Jinyu,Wang Dan,Geng Yong,Yang Miaomiao,Wang Xiaoli. The Integrability to a (1+1) Dimensional Variable Coefficient Complex Equation[J].Acta mathematica scientia,Series A, 2023, 43(4): 994-1002.

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References 40

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The Integrability to a (1+1) Dimensional Variable Coefficient Complex Equation

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