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中文摘要：
研究了一种全新的G＇/（G＋G＇）展开方法,并应用这种方法讨论了广义非线性Schrdinger方程和一类耦合非线性Schrdinger方程组新形式的精确解,包括双曲余切函数解、余切函数解和有理函数解.全新G＇/（G＋G＇）展开方法不但直接而有效地求出方程的新精确解,而且扩大了解的范围,这种新方法对于研究偏微分方程具有广泛的应用意义.
英文摘要：
A new G＇/（G＋G＇）-expansion method was proposed.Exact solutions to a class of Schrdinger equations and coupled nonlinear Schrdinger equations were obtained with this new method.The solutions can be expressed with the hyperbolic cotangent functions,the cotangent functions and the rational functions.This new G＇/（G＋G＇）-expansion method not only help gets new exact solutions to the equations directly and effectively,but also expands the scope of the solutions.This new method promises a very wide range of application for the study of related partial differential equations.
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