Abstract
We study nonlinear couplers made from parabolic nonlinearity material for both anomalous and normal dispersion regimes, and present analytic results for the symmetric states and also perturbation eigenfunctions and eigenvalues which describe the points where asymmetric states branch off from them. For bright soliton states, each asymmetric state forms a loop attached to a symmetric state, and thus two bifurcation points appear.
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