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Some generalized coupled nonlinear Schrödinger equations and conservation laws

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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.

Keywords: nonlinear schrodinger; type equations; generalized coupled; conservation laws; coupled nonlinear

Journal Title: Modern Physics Letters B
Year Published: 2017

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