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Some generalized coupled nonlinear Schrödinger equations and conservation laws

    https://doi.org/10.1142/S0217984917502992Cited by:4 (Source: Crossref)

    Based on zero-curvature equation, a series of new four-component nonlinear Schrödinger-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 Schrödinger equation and a generalized coupled derivative nonlinear Schrödinger equation are obtained. And then, the infinite conservation laws for each of these four-component nonlinear Schrödinger-type equations are constructed with the aid of the Riccati-type equations.