| Citation: |
Shuxin Yang, Biao Li. $\bar{\partial}$-DRESSING METHOD FOR THREE-COMPONENT COUPLED NONLINEAR SCHRÖDINGER EQUATIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2523-2533. doi: 10.11948/20220549
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$\bar{\partial}$-DRESSING METHOD FOR THREE-COMPONENT COUPLED NONLINEAR SCHRÖDINGER EQUATIONS
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Abstract
The dressing method based on $ 4\times4 $ matrix $ \bar{\partial} $-problem is extended to study the three-component coupled nonlinear Schrödinger (3DNLS) equations. The spatial and time spectral problems related to the 3DNLS equations are derived via two linear constraint equations. A 3DNLS hierarchy with source is proposed by using recursive operator. The $ N $-solitions of the 3DNLS equations are given based on the $ \bar{\partial} $-equation by selecting a spectral transformation matrix.
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References
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Shuxin Yang, Biao Li. $\bar{\partial}$-DRESSING METHOD FOR THREE-COMPONENT COUPLED NONLINEAR SCHRÖDINGER EQUATIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2523-2533. doi: 10.11948/20220549
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