New estimates enable the moving plane method to establish monotonicity, one-dimensionality, and uniqueness of phase transition solutions in a non-cooperative elliptic system with Rabi coupling, with non-existence for large coefficients.
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Moving planes for domain walls in a coupled system
New estimates enable the moving plane method to establish monotonicity, one-dimensionality, and uniqueness of phase transition solutions in a non-cooperative elliptic system with Rabi coupling, with non-existence for large coefficients.