University of Tabriz Computational Methods for Differential Equations 2345-3982 14 2 2026 04 01 Soliton solutions in the nonlinear conformable Wu-Zhang system 929 946 19701 10.22034/cmde.2024.61514.2661 EN Hira Tariq Department of Mathematics, Government College Women University, Sialkot, Pakistan. Hira Ashraf Department of Mathematics, Government College Women University, Sialkot, Pakistan. Mohammad Ali Hosseinzadeh Faculty of Engineering Modern Technologies, Amol University of Special Modern Technologies, Amol, Iran. Hadi Rezazadeh Faculty of Engineering Modern Technologies, Amol University of Special Modern Technologies, Amol, Iran. Soheila Biria Higher Education Extension Office, Vice-Chancellor of Education, Ministry of Science, Research and Technology, Tehran, Iran. Journal Article 2024 05 04 In this paper, new analytical solutions of nonlinear fractional Wu-Zhang system are determined with the aid of two analytical approaches, that is, generalized projective Riccati equation method and Sardar sub-equation method via conformable derivative. The system describes (1 + 1)-dimensional dispersive long wave in two horizontal directions on shallow waters. Some new solitary wave solutions are demonstrated by the means of computer softwares maple or mathematica. The obtained results reveals that the proposed method is very efficacious and straightforward in the determination of the solution for the nonlinear fractional Wu-Zhang system. https://cmde.tabrizu.ac.ir/article_19701_1e3db1dd23304dc11dcf414b4566a275.pdf