物理学报Issue(21)：5-13,9.DOI:10.7498/aps.63.210202
sine-Gordon型方程的无穷序列新解
New infinite sequence solutions to equations of sine-Gordon typ e
摘要
Abstract
The following steps are given to search for new solutions to equations of sine-Gordon type. Step one, according to function transformation, the solving of sine-Gordon equation and sinh-Gordon equation is changed into the solving of two kinds of nonlinear ordinary differential equations. Step two, two kinds of nonlinear ordinary differential equations and quasi-Bäcklund transformation of the first kind of elliptic equation are obtained. Finally, new infinite sequence solutions to equations of sine-Gordon type are constructed by applying Bäcklund transformation and new solutions of the first kind of elliptic equation.关键词
函数变换/sine-Gordon型方程/第一种椭圆方程/无穷序列新解Key words
function transformation/equations of sine-Gordon type/the first kind of elliptic equation/new infinite sequence solutions引用本文复制引用
套格图桑,伊丽娜..sine-Gordon型方程的无穷序列新解[J].物理学报,2014,(21):5-13,9.基金项目
国家自然科学基金(批准号:11361040)、内蒙古自治区高等学校科学研究基金(批准号：NJZY12031)和内蒙古自治区自然科学基金(批准号:2010MS0111)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.11361040), the Science Research Foundation of Institution of Higher Education of Inner Mongolia Autonomous Region, China (Grant No. NJZY12031), and the Natural Science Foundation of Inner Mongolia Autonomous Region China (Grant No.2010MS0111) （批准号:11361040）
