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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
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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.
作者 陈红菊 袁凤连 易斌 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 红河学院数学学院 南昌工学院人工智能学院
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)
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 New exact meromorphic solutions Schr鰀inger equation Nevanlinna
分类号 O175.29 [理学—基础数学]
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  • 1Cui E Xiao, Zai Yun Zhang. New exact travelling wave solutions of nonlinear Klein-Gordon equation via ( G/G )-expansion Method[J]. Far East Journal of Applied Mathematics, 2011 (60): 131 - 145.
  • 2Zai Yun Zhang. New exact traveling wave solutions for the nonlinear Klein-Gordon equation[J]. Turk. J. Phys., 2008(32): 235-240.
  • 3Zai Yun Zhang, Zhen Hai Liu, Xiu Jin Miao and Yue Zhong Chen. New exact solutions to the perturbed nonlinear Schr6dinger's equation with Kerr law nonlinearity[J].Appl. Math. Comput. 2010(216),:3064-3072.
  • 4Zai Yun Zhang, Yun Xiang Li, Zhen Hai Liu, Xiu Jin Miao . New exact solutions to the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity via modified trigonometric function series method[J]. Commun. Nonlinear Sci. Nurner. S imulat., 2011 (16): 3097-3106.
  • 5Zai Yun Zhang, Yin Hui Zhang, Xiang Yang Gan, De Ming Yu. A note on exact travelling wave solutions for the Klein-Gordon-Zakharov equations[J]. Z. Naturforsch. A, 2012(67): 167-172.
  • 6Zai Ytm Zhang, Zhen Hai Liu, Xiu Jin Miao, Yue Zhong Chen. Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity[J]. Phys. Lett. A, 2011(375): 1275-1280.
  • 7Zai Ytm Zhang, Xiang Yang Gan, De Ming Yu. Bifurcation behavior of the traveling wave solutions of nonlinear the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity[J]. Z. Narfors. A, 2011(66):721-727.
  • 8Zai-yun Zhang, Fang-li Xia and Xin-ping Li. Bifucation analysis and the travelling wave solutions of the Klein-Gordon-Zakharov equations, Pramana - Journal of Physics, 2012(in press).
  • 9Zai Yun Zhang, Xiang Yang Gan, De Ming Yu, Yin Hui Zhang, Xin Ping Li. A note on exact traveling wave solutions of the perturbed nonlinear Schrodinger's equation with kerr law nonlinearity [J]. Commun. Thero. Phys., 2012(57):764-770.
  • 10Xiu Jin Miao, Zai Yun Zhang. The modified( G/G )-method and traveling wave solutions oftheperturbed nonlinear Schrodinger's equation with Kerr law nonlinearity[J]. Commun. Nonlinear Sei. Numer. Simulat., 2011 (16):4259-4267.

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红河学院学报
2018年 第2期

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