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Exact solutions of nonlinear Schrodinger equation by using symbolic computation

机译:非线性Schrodinger方程精确解的符号计算。

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摘要

The (G/G,1/G)-expansion method and (1/G)-expansion method are interesting approaches to find new and more general exact solutions to the nonlinear evolution equations. In this paper, these methods are applied to construct new exact travelling wave solutions of nonlinear Schrodinger equation. The travelling wave solutions are expressed by hyperbolic functions, trigonometric functions and rational functions. It is shown that the proposed methods provide a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering. Copyright (c) 2015 John Wiley & Sons, Ltd.
机译:(G / G,1 / G)展开方法和(1 / G)展开方法是寻找新的和更通用的非线性演化方程精确解的有趣方法。本文将这些方法应用于构造非线性薛定inger方程的新的精确行波解。行波解由双曲函数,三角函数和有理函数表示。结果表明,所提出的方法为解决数学物理和工程中的非线性波动方程提供了强大的数学工具。版权所有(c)2015 John Wiley&Sons,Ltd.

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