Solutions of the perturbed KdV equation for convecting fluids by factorizations

• Authors: Octavio Cornejo-Pérez , Haret Rosu
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

perturbed KdV equation; travelling waves; factorization method

Discipline

• 02.30.Hq: Ordinary differential equations
• 02.30.Jr: Partial differential equations
• 02.90.+p: Other topics in mathematical methods in physics (restricted to new topics in section 02)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 4
• Pages: 523-526

Dates

published

1 - 8 - 2010

online

22 - 5 - 2010

Contributors

author

Octavio Cornejo-Pérez

• Facultad de Ingeniería, Universidad Autónoma de Querétaro, Centro Universitario Cerro de las Campanas, 76010, Santiago de Querétaro, Mexico

author

Haret Rosu

• Potosinian Institute of Science and Technology, Apdo Postal 3-74 Tangamanga, 78231, San Luis Potosí, Mexico

References

• [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]

Identifiers

DOI

10.2478/s11534-009-0116-7