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数学与物理
应用数学进展
Vol. 4 No. 3 (August 2015)
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新辅助方程的四类函数解对带扰动项非线Schro
¨
dinger方程的应用
Four Types of Functions Solutions of the Novel Auxiliary Equation and Its Application on the Perturbed Nonlinear Schro
¨
dinger Equation
DOI:
10.12677/AAM.2015.43027
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作者:
刘学
*
,
陈怀堂
*
:临沂大学,山东 临沂,山东师范大学,山东 济南
关键词:
四类函数解
;
新辅助方程
;
相互作用解
;
Four Types of Functions Solution
;
Novel Auxiliary Equation Method
;
Interaction Solution
摘要:
本文通过构造法求解新辅助方程的四类函数解,并将新辅助方程方法带扰动项非线性Schrödinger方程中,成功获得方程的相互作用解。
Abstract:
Four types of functions solutions of this novel auxiliary equation are gained. We obtain interaction solutions of nonlinear Schr
ö
dinger equation with perturbed terms successfully.
文章引用:
刘学, 陈怀堂. 新辅助方程的四类函数解对带扰动项非线Schro
¨
dinger方程的应用[J]. 应用数学进展, 2015, 4(3): 217-223.
http://dx.doi.org/10.12677/AAM.2015.43027
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