|
Abstract
|
This paper applies three forms of integration tools to integrate KdV6 equation that represents a nonholonomic deformation of the well-known KdV equation, which models shallow-water dynamics. The three integration algorithms applied are Kudryashov’s method, extended tanh scheme as well as G′/G-expansion mechanism. These tools lead to solitary waves, shock waves as well as singular periodic solutions to the equation. The corresponding integrability criteria, also known as constraint conditions, naturally emerge from the analysis of the problem.
|