Based on zero-curvature equation, a series of new four-component nonlinear Schrodinger-type equations related to a 3 × 3 matrix problem are proposed by using the polynomial expansion of the spectral… Click to show full abstract
Based on zero-curvature equation, a series of new four-component nonlinear Schrodinger-type equations related to a 3 × 3 matrix problem are proposed by using the polynomial expansion of the spectral parameter. As two special reductions, a generalized coupled nonlinear Schrodinger equation and a generalized coupled derivative nonlinear Schrodinger equation are obtained. And then, the infinite conservation laws for each of these four-component nonlinear Schrodinger-type equations are constructed with the aid of the Riccati-type equations.
               
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