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Quantum Optics.How to analytically solve the equations below?

Resently,I have read a paper about Dicke Model,named" Dissipative Phase Transition in the Two-Photon Dicke Model".

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"These equations can be solved analytically to determine the steady ..."but i cannot use "Solve" function to solve these analytically.By the way,the left of all equation is zero because of steady states.My Notebook is below,i want to know how to get the analytical solve.&[Wolfram Notebook][2]
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POSTED BY: tree clean
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