变系数MKdV方程的Bcklund变换和精确解 A Bcklund Transformation and Exact Solutions to MKdV Equation with General Variable Coefficients期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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变系数MKdV方程的Bcklund变换和精确解

引用本文：	徐传友.变系数MKdV方程的Bcklund变换和精确解[J].阜阳师范学院学报(自然科学版),2007(2).

作者姓名：	徐传友

作者单位：	阜阳师范学院数学系安徽阜阳236041

摘要：	在假设系数线性相关的情况下,利用齐次平衡法得到了变系数MKdV方程的Bcklund变换,并利用此Bcklund变换得到了求解该方程的一般方法;利用截断展开法和延拓齐次平衡法得到了该方程的一组精确孤子解.
关键词：	齐次平衡法 Bcklund变换截断展开法精确孤子解
A Bcklund Transformation and Exact Solutions to MKdV Equation with General Variable Coefficients

XU Chuan-you.A Bcklund Transformation and Exact Solutions to MKdV Equation with General Variable Coefficients[J].Journal of Fuyang Teachers College:Natural Science,2007(2).

Authors:	XU Chuan-you

Abstract:	A Bcklund transformation(BT) to the MKdV equation with general variable coefficients is derived by using the homogeneous balance method if the equation are linearly dependent.Based on the BT,we offer a generalized method for solving the equation.An exact soliton solutions to the equation is derived by using the extended homogeneous balance method and the truncated expansion method.

Keywords:	homogeneous balance method Bcklund transformation truncated expansion method exact soliton solution
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