Numerical solutions of a class of nonlinear evolution equations with nonlinear term of any order
文献类型：期刊论文
| 作者 | Hong-Li, A. N.1,2; Yong, Cheng1,2,3,4 |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2008-03-15 |
| 卷号 | 49期号:3页码:579-584 |
| 关键词 | Adomian decomposition method nonlinear evolution equations Jacobi elliptic function numerical solution |
| ISSN号 | 0253-6102 |
| 英文摘要 | In this paper, the Adomian decomposition method is developed for the numerical solutions of a class of nonlinear evolution equations with nonlinear term of any order, u(tt)+au(xx) + bu + cu(p) + du(2p-1) = 0, which contains some important famous equations. When setting the initial conditions in different forms, some new generalized numerical solutions: numerical hyperbolic solutions, numerical doubly periodic solutions are obtained. The numerical solutions are compared with exact solutions. The scheme is tested by choosing different values of p, positive and negative, integer and fraction, to illustrate the efficiency of the ADM method and the generalization of the solutions. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000254252700012 |
| 出版者 | INT ACADEMIC PUBLISHERS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6880]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Hong-Li, A. N. |
| 作者单位 | 1.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China 2.Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China 3.E China Normal Univ, Inst Theoret Comp, Shanghai 200062, Peoples R China 4.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hong-Li, A. N.,Yong, Cheng. Numerical solutions of a class of nonlinear evolution equations with nonlinear term of any order[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2008,49(3):579-584. |
| APA | Hong-Li, A. N.,&Yong, Cheng.(2008).Numerical solutions of a class of nonlinear evolution equations with nonlinear term of any order.COMMUNICATIONS IN THEORETICAL PHYSICS,49(3),579-584. |
| MLA | Hong-Li, A. N.,et al."Numerical solutions of a class of nonlinear evolution equations with nonlinear term of any order".COMMUNICATIONS IN THEORETICAL PHYSICS 49.3(2008):579-584. |
入库方式： OAI收割
来源：数学与系统科学研究院
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