TY - JOUR TI - Application of mathematical methods for the non-linear seventh order Sawada-Kotera-Ito dynamical wave equation AU - Aibarakati W A AU - Seadawy A R AU - Aljahdaly N H JN - Thermal Science PY - 2019 VL - 23 IS - 16 SP - 2081 EP - 2093 PT - Article AB - This article deal with finding travelling wave solutions for the seventh order Sawada-Kotera Ito dynamical wave equation which describes the evolution of steeper waves of shorter wavelength than KdV equations using modified extended direct algebraic method. The new solutions derived have various physical structure, we also give graphic representation of the exact and stable solutions.