TY - JOUR TI - Bell shape solitary, anti-kink solitary and periodic wave solutions of the Benjamin Ono equation for shallow water waves AU - Yan Kang-Hua AU - Lu Xu-Wei AU - Liu Chang AU - Li Wen-Min JN - Thermal Science PY - 2025 VL - 29 IS - 2 SP - 1533 EP - 1538 PT - Article AB - In this study, the Benjamin Ono equation which acts a key role for the shallow water waves is explored. Two effective approaches namely the Bernoulli sub-equation function method and simple frequency formulation method are adopted to extract some different wave solutions, which include the bell shape solitary, anti-kink solitary and periodic wave solutions. Correspondingly, the outlines of the diverse wave solutions are unveiled graphically through MAPLE.