Alfvén solitons and generalized Darboux transformation for a variable-coefficient derivative nonlinear Schrödinger equation in an inhomogeneous plasma

2021 ◽  
Vol 148 ◽  
pp. 111029
Author(s):  
Su-Su Chen ◽  
Bo Tian ◽  
Qi-Xing Qu ◽  
He Li ◽  
Yan Sun ◽  
...  
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Darboux Transformation ◽  
Variable Coefficient ◽  
Schrodinger Equation ◽  
Inhomogeneous Plasma ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Derivative Nonlinear Schrödinger Equation ◽  
Generalized Darboux Transformation

Darboux transformation of the second-type nonlocal derivative nonlinear Schrödinger equation

2019 ◽  
Vol 33 (10) ◽  
pp. 1950123 ◽  
Author(s):  
De-Xin Meng ◽  
Kuang-Zhong Li
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Darboux Transformation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Darboux Transformations ◽  
First Order ◽  
Nonlinear Schrödinger ◽  
Derivative Nonlinear Schrödinger Equation

The second-type nonlocal derivative nonlinear Schrödinger (NDNLSII) equation is studied in this paper. By constructing its [Formula: see text]-order Darboux transformations (DT) from the first-order DT, Vandermonde-type determinant solutions of the NDNLSII equation are obtained from zero seed solutions, which would be singular unless the square of eigenvalues are purely imaginary.

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