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| 非线性Klein-Gordon方程新的精确解 | |
| 引用本文： | 卢殿臣,杨立波,洪宝剑.非线性Klein-Gordon方程新的精确解[J].江苏大学学报(自然科学版),2010,31(1). |
| 作者姓名： | 卢殿臣 杨立波 洪宝剑 |
| 作者单位： | 1. 江苏大学,非线性科学研究中心,江苏,镇江,212013 2. 江苏大学,非线性科学研究中心,江苏,镇江,212013;淮阴工学院,计算科学系,江苏,淮安,223001 3. 南京工程学院,基础部,江苏,南京,211167 |
| 基金项目： | 国家自然科学基金资助项目(10420130638) |
| 摘 要： | 在投射的Riccati方程法和Jacobi椭圆函数展开法的基础上,构造了4种新的Jacobi椭圆函数解,从而将Jacobi椭圆函数展开法作了进一步的推广.应用该方法并借助计算机代数系统Mathematica,求出非线性Klein-Gordon方程一系列新的精确周期解.当m→1或m→0时,这些解退化为相应的三角函数解和孤波解. |
| 关 键 词： | Klein-Gordon方程 扩展的Jacobi椭圆函数展开法 精确解 周期解 孤波解 |
New exact solutions of Klein-Gordon |
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| Lu Dianchen,Yang Libo,Hong Baojian.New exact solutions of Klein-Gordon[J].Journal of Jiangsu University:Natural Science Edition,2010,31(1). | |
| Authors: | Lu Dianchen Yang Libo Hong Baojian |
| Institution: | 1.Nonlinear Scientific Research Center/a>;Jiangsu University/a>;Zhenjiang/a>;Jiangsu 212013/a>;China/a>;2.Department of Computing Science/a>;Huaiyin Institute of Technology/a>;Huaian/a>;Jiangsu 223001/a>;3.Department of Basic Course/a>;Nanjing Institute of Technology/a>;Nanjing/a>;Jiangsu 211167/a>;China |
| Abstract: | In this paper four new Jacobian elliptic functions are created by applying methods of projection Riccati equation and Jacobian elliptic functions expansion,which generalize the second method.Moreover,the exact periodic solutions to nonlinear Klein-Gordon equations are given by means of symbolic computation system Mathematica.In particular,the solutions will degenerate to solitary wave solutions and triangle function solutions when the modulus of the Jacobian elliptic function m approaches to 1 or 0. |
| Keywords: | Klein-Gordon equation generalized Jacobian elliptic function expansion method exact solutions periodic solutions solitary wave solutions |
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