Solutions of the perturbed KdV equation for convecting fluids by factorizations
Cornejo Pérez, Octavio
Rosu Barbus, Haret-Codratian
"In this paper, we obtain some new explicit travelling wave solutions of the perturbed KdV equation through recent factorization techniques that can be performed when the coefficients of the equation fulﬁll a certain condition. The solutions are obtained by using a two-step factorization procedure through which the perturbed KdV equation is reduced to a nonlinear second order differential equation, and to some Bernoulli and Abel type differential equations whose solutions are expressed in terms of the exponential and Weierstrass functions."
Knowledge areaCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
EditorWalter de Gruyter GmbH
KeywordsPerturbed KdV equation