| DC 欄位 |
值 |
語言 |
| DC.contributor | 數學系 | zh_TW |
| DC.creator | 諾斯拉 | zh_TW |
| DC.creator | Nuzla Af′idatur Robbaniyyah | en_US |
| dc.date.accessioned | 2017-7-4T07:39:07Z | |
| dc.date.available | 2017-7-4T07:39:07Z | |
| dc.date.issued | 2017 | |
| dc.identifier.uri | http://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=104221603 | |
| dc.contributor.department | 數學系 | zh_TW |
| DC.description | 國立中央大學 | zh_TW |
| DC.description | National Central University | en_US |
| dc.description.abstract | 考慮這樣的穩態的非線性波動方程式：$Mu+u^p=0$，其中微分算子M是正定自伴算子，p是常數。只有一個方程式時，數值上一般可以用Petviashvili method求出孤立波解。此處我們的感興趣的問題是一些二維的雙組份非線性薛丁格方程組，我們將Petviashvili method推廣到此方程組，並得到數值上的收斂。 | zh_TW |
| dc.description.abstract | The Petviashvili method is a numerical method for obtaining fundamental solitary wave solutions of stationary scalar nonlinear wave equations with-power-law nonlinearity: ?Mu + up = 0, where M is a positive de nite and self-adjoint operator, and p is constant. Due to the case is system of solitary nonlinear wave equations, we generalize the Petviashvili method. We apply this generalized method for two-component system of nonlinear Schrodinger equations (NLSE) for
2-D. From the numerical results, if the spectral radius of the numerical scheme for system is less than one, then we get quick convergence of the numerical method. | en_US |
| DC.subject | 非线性薛定er方程 | zh_TW |
| DC.subject | 静止波 | zh_TW |
| DC.subject | Nonlinear Schrodinger Equations | en_US |
| DC.subject | Stationary Wave | en_US |
| DC.subject | Petviashvili Method | en_US |
| DC.title | 應用Petviashvili方法求雙組份非線性薛丁格方程組的駐波解 | zh_TW |
| dc.language.iso | zh-TW | zh-TW |
| DC.title | The Numerical Approximation of Stationary Wave Solutions for Two-Component System of Nonlinear Schrodinger Equations by Using Generalization Petviashvili Method | en_US |
| DC.type | 博碩士論文 | zh_TW |
| DC.type | thesis | en_US |
| DC.publisher | National Central University | en_US |