Oksana Braginets (Petro Mohyla Black Sea State University, Mykolaiv)
Olena Magda (Vadym Hetman Kyiv National Economic University, Kyiv)

Exact solutions for variable coefficient generalized KdV equations using equivalence transformations

Abstract:
Using an example of variable-coefficient KdV equations we compare effectiveness of the "equivalence method" and the "extended mapping transformation method". It is shown that the "equivalence method" is more efficient. A formula for generation of exact solutions for variable-coefficient KdV equations is derived.

Braginets O., Magda O., Exact Solutions for Generalized KdV Equations with Variable Coefficients Using the Equivalence Method, in Lie Theory and Its Applications in Physics, Editor V. Dobrev, Springer Proceedings in Mathematics & Statistics, Vol. 191, 2016, 5 pp.