物理学报Issue(2)：1-12,12.DOI:10.7498/aps.64.020201
一类非线性发展方程的复合型双孤子新解∗
New complexion two-soliton solutions of a class of nonlinear evolution equation
摘要
Abstract
New infinite sequence complexion two-soliton solutions of a kind of nonlinear evolution equation are constructed with the help of function transformations and two kinds of elliptic equations. Step one,according to two function transformations, a kind of nonlinear evolution equation is changed into a nonlinear ordinary differential equation of second order. Step two, using function transformation, the nonlinear ordinary differential equation of second order is transformed into a set of nonlinear ordinary differential equations of first order, and the first integral of the set of equations is obtained. Finally, the first integral with new solutions and Bäcklund transformation of two kinds of elliptic equations are used to search for new infinite sequence complexion two-soliton solutions of a kind of nonlinear evolution equation.关键词
非线性发展方程/函数变换/首次积分/复合型双孤子新解Key words
nonlinear evolution equation/function transformation/first integral/complexion two-soliton solutions引用本文复制引用
套格图桑,伊丽娜..一类非线性发展方程的复合型双孤子新解∗[J].物理学报,2015,(2):1-12,12.基金项目
国家自然科学基金资助项目(批准号:11361040)和内蒙古自治区高等学校科学研究基金(批准号：NJZY12031)资助的课题 （批准号:11361040）
