首页 | 本学科首页   官方微博 | 高级检索  
     

构造非线性发展方程的无穷序列复合型类孤子新解
引用本文:套格图桑. 构造非线性发展方程的无穷序列复合型类孤子新解[J]. 物理学报, 2013, 62(7): 70202-070202. DOI: 10.7498/aps.62.070202
作者姓名:套格图桑
作者单位:内蒙古师范大学数学科学学院, 呼和浩特 010022
基金项目:国家自然科学基金(批准号: 10862003)、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.
摘    要:为了构造非线性发展方程的无穷序列复合型类孤子新解, 进一步研究了G'(ξ)/G(ξ) 展开法. 首先, 给出一种函数变换, 把常系数二阶齐次线性常微分方程的求解问题转化为一元二次方程和Riccati方程的求解问题. 然后, 利用Riccati方程解的非线性叠加公式, 获得了常系数二阶齐次线性常微分方程的无穷序列复合型新解. 在此基础上, 借助符号计算系统Mathematica, 构造了改进的(2+1)维色散水波系统和(2+1)维色散长波方程的无穷序列复合型类孤子新精确解.关键词:G'(ξ)/G(ξ)展开法')" href="#">G'(ξ)/G(ξ)展开法非线性叠加公式非线性发展方程复合型类孤子新解

关 键 词:G'(ξ)/G(ξ)展开法  非线性叠加公式  非线性发展方程  复合型类孤子新解
收稿时间:2012-11-25

Construction of new infinite sequence complexion soliton-like solutions of nonlinear evolution equations
Taogetusang. Construction of new infinite sequence complexion soliton-like solutions of nonlinear evolution equations[J]. Acta Physica Sinica, 2013, 62(7): 70202-070202. DOI: 10.7498/aps.62.070202
Authors:Taogetusang
Affiliation:College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022
Abstract:The G'(ξ)/G(ξ) expansion method is further studied for constructing new infinite sequence complexion soliton-like solutions of nonlinear evolution equations. First, to solve a linear ordinary differential equation with constant coefficients of second order is changed into the solving of one unknown quadratic equation and Riccati equation by a function transformation. Then a nonlinear superposition formula of the solutions to Riccati equation is presented to seek new infinite sequence complexion solutions of a second order linear ordinary differential equation with constant coefficients. Based on this, the new infinite sequence complexion soliton-like solutions to (2+1)-dimensional modified dispersive water wave system and (2+1)-dimensional dispersive long-wave equation are obtained with the help of symbolic computation system Mathematica.
Keywords:the G'(ξ)/G(ξ) expansion method  nonlinear superposition formula  nonlinear evolution equation  new complexion soliton-like solution
点击此处可从《物理学报》浏览原始摘要信息
点击此处可从《物理学报》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号