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
Citation: 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

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
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
  • 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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