In this paper, the first integral method is used to construct exact travelling wave solutions of Konopelchenko-Dubrovsky equation. The first integral method is algebraic direct method for obtaining exact solutions of nonlinear partial differential equations. This method can be applied to non-integrable equations as well as to integrable ones. This method is based on the theory of commutative algebra.
Taghizadeh, N. and Mirzazadeh, M.
Exact Travelling Wave Solutions for Konopelchenko-Dubrovsky Equation by the First Integral Method,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 6,
1, Article 12.
Available at: https://digitalcommons.pvamu.edu/aam/vol6/iss1/12