TY - JOUR TI - New types of exact solutions of high-frequency waves model in the relaxation medium AU - Attia Raghda A. M. AU - Elagan Sayed K AU - Alharthi Meteub R AU - Khater Mostafa M. A. JN - Thermal Science PY - 2021 VL - 25 IS - 102 SP - 233 EP - 238 PT - Article AB - In this article, based on the extended fan-expansion method, novel soliton wave solutions of the Vakhnenko-Parkes equation are constructed. The stable property of the obtained analytical solutions is tested by implementing the Hamiltonian system's characterizations. The applied method is effective and applicable for many problems of non-linear PDE in mathematical physics.