Abstract
AbstractIn this work, we apply the $$\overline{\partial }$$
∂
¯
-dressing method to study the mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation (CLL–NLS) with non-normalization boundary conditions. The spatial and time spectral problems associate with CLL–NLS equation which are derived from local $$2 \times 2$$
2
×
2
matrix. A CLL–NLS hierachy with source is proposed by using recursive operator. Based on the $$\overline{\partial }$$
∂
¯
-equation, the N-solitons of the CLL–NLS equation are constructed by choosing a special spectral transformation matrix. Further more, the explicit two-soliton is obtained.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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