Localized Waves on the Periodic Background for the Derivative Nonlinear Schrödinger Equation
摘要
The localized waves based on the plane, periodic and double-periodic backgrounds for the derivative nonlinear Schrödinger equation are constructed in this paper. Especially, we give a determinant representation of the semi-degenerate Darboux transformation by using the Taylor expansion technique. Additionally, by changing the amplitude of seed solution and the value of the spectral parameters, energy conversion occurs between the localized waves and different backgrounds, resulting in different dynamic behaviors.