中北大学学报（自然科学版）2017，Vol.38Issue(3)：277-281,5.DOI:10.3969/j.issn.1673-3193.2017.03.006
(2+1)维KdV方程的B(a)cklund变换和无穷守恒律
The B(a)cklund Transformation and Infinite Conservation Laws of (2+1) Dimensional KdV Equation
摘要
Abstract
The binary Bell polynomials are researched, based on the link between multi-dimensional binary Bell polynomials and the standard Hirota bilinear equation, the bilinear expressions with arbitrary function for (2+1) dimensional KdV equation are constructed, the approach is different from the Hirota bilinear method.By application of binary Bell identity, the bilinear B(a)cklund transformations of the (2+1) dimensional KdV equation are obtained.By means of variate transformation, the coupled system of the (2+1) dimensional KdV equation is linearized into Lax pairs with multi-parameters, it is proved that the integrability condition is satisfied.In addition, the infinite conservation laws of this nonlinear evolution equation are derived, all conserved densities and fluxes are given with explicit recursion formulas.关键词
双Bell多项式/(2+1)维KdV方程/B(a)cklund变换/无穷守恒律/Lax对Key words
binary Bell polynomials/(2+1) dimensional KdV equation/B(a)cklund transformations/infinite conservation laws/Lax pairs分类
数理科学引用本文复制引用
郭婷婷..(2+1)维KdV方程的B(a)cklund变换和无穷守恒律[J].中北大学学报（自然科学版）,2017,38(3):277-281,5.基金项目
山西大学商务学院科研基金资助项目(2016028) （2016028）
