Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl


Preferences help
enabled [disable] Abstract
Number of results


2010 | 8 | 4 | 523-526

Article title

Solutions of the perturbed KdV equation for convecting fluids by factorizations


Title variants

Languages of publication



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 andWeierstrass functions.


  • Facultad de Ingeniería, Universidad Autónoma de Querétaro, Centro Universitario Cerro de las Campanas, 76010, Santiago de Querétaro, Mexico
  • Potosinian Institute of Science and Technology, Apdo Postal 3-74 Tangamanga, 78231, San Luis Potosí, Mexico


  • [1] O. Cornejo-Pérez, J. Negro, L. M. Nieto, H. C. Rosu, Found. Phys. 36, 1587 (2006) http://dx.doi.org/10.1007/s10701-006-9069-5[Crossref]
  • [2] H. C. Rosu, O. Cornejo-Pérez, Phys. Rev. E 71, 046607 (2005) http://dx.doi.org/10.1103/PhysRevE.71.046607[Crossref]
  • [3] D. S. Wang, H. Li, J. Math. Anal. Appl. 343, 273 (2008) http://dx.doi.org/10.1016/j.jmaa.2008.01.039[Crossref]
  • [4] H. Aspe, M. C. Depassier, Phys. Rev. E 41, 3125 (1990)
  • [5] J. M. Cerveró, O. Zurrón, J. Nonlinear Math. Phy. 3 1 (1996) http://dx.doi.org/10.2991/jnmp.1996.3.1-2.1[Crossref]
  • [6] E. L. Ince, Ordinary Differential Equations (Dover, Nueva York, 1956)
  • [7] A. V. Porubov, J. Phys. A 26 L797 (1993) http://dx.doi.org/10.1088/0305-4470/26/17/008[Crossref]
  • [8] A. D. Polyanin, V. F. Zaitsev, Handbook of Exact Solutions of Ordinary Differential Equations (CRC Press, Boca Raton-New York, 1995)
  • [9] P. G. Estévez, S. Kuru, J. Negro, L. M. Nieto, J. Phys. A 39, 11441 (2006) http://dx.doi.org/10.1088/0305-4470/39/37/007[Crossref]
  • [10] C. Gilson, A. Pickering, J. Phys. A 28, 2871 (1995) http://dx.doi.org/10.1088/0305-4470/28/10/017[Crossref]

Document Type

Publication order reference


YADDA identifier

JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.