Special Session 20: Lie Symmetries, Conservation Laws, and Other Approaches in Solving Nonlinear Differential Equations
A study of a fourth-order nonlinear generalized Ablowitz-Kaup-Newell-Segur water wave equation in fluid dynamics
Chaudry M Khalique
North-West University So Africa
Co-Author(s):
Abstract:
In this talk we study a fourth-order nonlinear generalized Ablowitz-Kaup-Newell-Segur water wave equation in fluid dynamics. Utilizing the Lie theoretic approach, symmetries of the equation are obtained and then used to construct invariant solutions. Conclusively, we derive conserved quantities of the equation by employing both the general multiplier and Noether techniques.