In this paper, we investigate the (1+2)-dimensional chiral nonlinear Schrödinger equation via the bifurcation method of dynamical systems. Under distinct parameter conditions, we construct the corresponding phase portraits and obtain a series of newexact nonlinearwave solutions, including solitarywave, periodicwave, kinkwave and unbounded wave solutions. Particularly, we reveal the novel limiting behaviors that certain periodic wave solutions can degenerate into solitary wave solutions, periodic wave solutions, unbounded wave solutions or kink wave solutions. These results enrich and extend the known results for the considered chiral nonlinear Schrödinger model.
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