Solutions to the Nonlinear Schrödinger Equation and Coupled Nonlinear Schrödinger Equations With a New G′/（G+G′）-Expansion Method

SHI Lan-fang; NIE Zi-wen

doi:10.21656/1000-0887.370269

Volume 38 Issue 5

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SHI Lan-fang, NIE Zi-wen. Solutions to the Nonlinear Schrödinger Equation and Coupled Nonlinear Schrödinger Equations With a New G′/（G+G′）-Expansion Method[J]. Applied Mathematics and Mechanics, 2017, 38(5): 539-552. doi: 10.21656/1000-0887.370269

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Solutions to the Nonlinear Schrödinger Equation and Coupled Nonlinear Schrödinger Equations With a New G′/（G+G′）-Expansion Method

doi: 10.21656/1000-0887.370269

College of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing 210044, P.R.China

Funds: The National Natural Science Foundation of China(11202106; 61201444)

Received Date: 2016-09-05
Rev Recd Date: 2017-03-21
Publish Date: 2017-05-15

Abstract

Abstract

A new G′/（G+G′）-expansion method was proposed. Exact solutions to a class of Schrödinger equations and coupled nonlinear Schrödinger 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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References

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