Similarity reduction, consistent Riccati expansion solvability and novel
solutions for a generalized variable-coefficient modified KdV equation
with external-force term
Abstract
In this study, the generalized modified variable-coefficient KdV
equation with external-force term (gvcmKdV) arising in fluid mechanics,
plasma physics and ocean dynamics is studied for integrability by using
consistent Riccati expansion (CRE) solvability and reduced to nonlinear
integrable ordinary differential equation by Clarkson and Kruskal (CK)
similarity reduction method. By using the solutions of Riccati equations
given before in literature many novel solitary and periodic wave
solutions obtained for the gvcmKdV.