| Volume 14, Number 5, 2024, Pages - DOI：10.11948/JAAC-2022-0549 |
| ?-dressing method for three-component coupled nonlinear Schr¨odinger Equations |
| Biao Li,Shuxin Yang |
| Keywords:Three-component coupled nonlinear Schr¨odinger Equations, ˉ?-dressing method, Lax pair, Soliton solution |
| Abstract: |
| The dressing method based on 4 × 4 matrix ˉ?-problem is extended to study the three-component coupled nonlinear Schr¨odinger (3CNLS) equations. The spatial and time spectral problems related to the 3CNLS equations are derived via two linear constraint equations. A 3CNLS hierarchy with source is proposed by using recursive operator. The N-solitions of the 3CNLS equations are given based on the ˉ?-equation by
selecting a spectral transformation matrix. |
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