RATIONAL SOLUTIONS AND ROGUE WAVES IN NONLINEAR SCHRODINGER EQUATION WITH VARYING COEFFICIENTS

机译：具有不同系数的非线性Schrodinger方程中的Rational Solutions和Rogue波

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The similarity transformation and direct ansatz are applied to obtain rogue wave solutions of nonlinear Schrodinger equation with varying coefficients. These obtained solutions can be used to describe the possible formation mechanisms for optical rogue wave phenomenon in optical fibres. Moreover their dynamical behaviors are exhibited for chosen different functions. This will further excite the possibility of relative researchers and potential applications of rogue waves in other related fields.

机译：应用相似性变换和直接ANSATZ以获得具有不同系数的非线性Schrodinger方程的Rogue波解。这些所得溶液可用于描述光纤中光学盗波现象的可能形成机制。此外，它们的动态行为被展现为选择不同的功能。这将进一步激发相对研究人员的可能性以及流氓波在其他相关领域的可能性。

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《ASME International Design Engineering Technical Conferences》|2014年||共5页
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Ni Song; Sha. Zhou; Wei Zhang; Qian Wang;
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2. 具有耗散项的非线性Schrodinger方程的精确包络波解 [J] . 潘祖梁, 郑克杰, 杨清健高校应用数学学报：英文版 . 1994,第004期
3. Rogue wave solutions for the coupled cubic-quintic nonlinear Schrodinger equations with variable coefficients [J] . Qi Feng-Hua, Xu Xiao-Ge, Wang Pan Applied mathematics letters . 2016,第Null期

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6. RATIONAL SOLUTIONS AND ROGUE WAVES IN NONLINEAR SCHRODINGER EQUATION WITH VARYING COEFFICIENTS [C] . Ni Song, Sha. Zhou, Wei Zhang, ASME International Design Engineering Technical Conferences . 2014

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7. Existence and multiplicity results on standing wave solutions of some coupled nonlinear Schrodinger equations. [D] . Tian, Rushun. 2013

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8. Rogue waves in the two dimensional nonlocal nonlinear Schrödinger equation and nonlocal Klein-Gordon equation [O] . Wei Liu, Jing Zhang, Xiliang Li 2012

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9. Optical rogue waves in the generalized inhomogeneous higher-order nonlinear Schrodinger equation with modulating coefficients [O] . Yan, Zhenya, Dai, Chaoqing 2013

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10. Study of the Relevance of Simple Solutions to Nonlinear Rate Equations with Time-Varying Coefficients [R] . Wilhelmsson, H., Jancel, R. 1983

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RATIONAL SOLUTIONS AND ROGUE WAVES IN NONLINEAR SCHRODINGER EQUATION WITH VARYING COEFFICIENTS

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