带有Kerr law非线性项的扰动Schr?dinger方程的三类亚纯解  

The Exact Meromorphic Solutions of the Perturbed Nonlinear Schr?dinger Equation with Kerr Law Nonlinearity

作　　者：陈红菊[1] 袁凤连[2] 易斌[1] CHEN Hong-ju;YUAN Feng-lian;YI Bin(College of Mathematics,Honghe University,Mengzi,Yunnan Province 661199,China;Nanchang institute of technology artificial intelligence college,Jiangxi Nanchang 330108,China)

机构地区：[1]红河学院数学学院,云南蒙自661199 [2]南昌工学院人工智能学院,江西南昌330108

出　　处：《红河学院学报》2018年第2期122-128,共7页Journal of Honghe University

基　　金：红河学院科研基金项目:权分担公共值集的亚纯函数唯一性的研究(XJ14Y06),有控制项的常微分方程亚纯解的探析(XJ15SX02);云南省教育厅科学研究基金项目:关于“ICM+3IM”猜想的研究(2017ZDX076)

摘　　要：本文采用Nevanlinna值分布理论知识求解带有Kerr law非线性项的扰动Schr?dinger方程的亚纯解.结果表明求解的亚纯行波解都是新的有理函数解、周期行波解和椭圆函数解。The paper employs the Nevanlinna value distribution theory to obtain the new exact meromorphic solutions of the perturbed nonlinear Schr?dinger equation with Kerr law nonlinearity.The results show that the meromorphic solutions are the rational function solutions,simple periodic solutions and elliptic solutions.

关 键 词：亚纯函数解 SCHRODINGER方程 常微分方程 NEVANLINNA值分布理论 非线性偏微分方程 

分 类 号：O175.29[理学—数学]