Odd‐Fold Darboux Transformation, Breather, Rogue‐Wave and Semirational Solutions on the Periodic Background for a Variable‐Coefficient Derivative Nonlinear Schrödinger Equation in an Inhomogeneous Plasma

2021 ◽  
pp. 2100231
Author(s):  
Su‐Su Chen ◽  
Bo Tian ◽  
Chen‐Rong Zhang
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Darboux Transformation ◽  
Variable Coefficient ◽  
Schrodinger Equation ◽  
Rogue Wave ◽  
Inhomogeneous Plasma ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Derivative Nonlinear Schrödinger Equation

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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