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Hu, X.B. and Ma, W.X. (2002) Application of Hirota’s bilinear formalism to the Toeplitz lattice—some special soliton- like solutions. Physics Letters A, 293, 161-165.
http://dx.doi.org/10.1016/S0375-9601(01)00850-7

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• 标题: 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

  作者: 刘学, 陈怀堂

  关键字: 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

  期刊名称: 《Advances in Applied Mathematics》, Vol.4 No.3, 2015-08-03

  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。 Four types of functions solutions of this novel auxiliary equation are gained. We obtain interaction solutions of nonlinear Schrödinger equation with perturbed terms successfully.