Special Session 45: Lie Symmetries, Conservation Laws and Other Approaches in Solving Nonlinear Differential Equations
A study of generalized (2+1)-dimensional equal-width partial differential equation of engineering
Karabo K Plaatjie
North-West University So Africa
Co-Author(s): Chaudry Masood Khalique
Abstract:
In this talk we study the generalized (2+1)-dimensional equal-width equation which arises in various
fields of science. Using Lie symmetry analysis along with power series expansion and
Weierstrass methods, we construct closed-form solutions of this equation. Moreover,
we derive the conserved vectors of the underlying equation by utilizing the multiplier
method and Noether`s theorem.