Solutions of the Perturbed KDV Equation for Convecting Fluids by Factorizations

Details Solutions of the Perturbed KDV Equation for Convecting Fluids by Factorizations Solutions of the Perturbed KDV Equation for Convecting Fluids by Factorizations

2009-02-04

arxiv.org/abs/0902.0750v2

Central Eur. J. Phys. 8(4) 523-526 (2010)

Physics

Mathematical Physics

4 pages, some changes in the text according to referees' suggestions, added one reference, accepted at Central Europ. J. Phys

Scientific paper

10.2478/s11534-009-0116-7

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

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