چکیده (انگلیسی):

We study qualitative properties of solutions of an integral equation associated the Benjamin–Ono– 4 Zakharov–Kuznetsov operator. We establish the regularity of the positive solutions without the assumption 5 of being in fractional Sobolev Liouville spaces. Moreover we show that the solutions are axially symmetric. 6 Furthermore we establish Lipschitz continuity and the decay rate of the solutions.