Publicado

2006-07-01

Exact solutions for a new fifth-order integrable system

Palabras clave:

Nonlinear differential equation, Travelling wave solution, Generalized tanh method (en)

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Autores/as

  • César A. Gómez S. Universidad Nacional de Colombia (Sede Bogotá)

Abstract. We consider a new fifth-order integrable system. The exact solutions are obtained by the generalized tanh method.

Referencias

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Z. Yan, The Riccati equation with variable coefficients expansion algorithm to find more exact solutions of nonlinear differential equation, Comput. Phys. Comm. 152 (2003) 1, 1-8. Preprint version available at http://www.mmrc.iss.ac.cn/pub/mm22.pdf/20.pdf

Z. Yan, An improved algebra method and its applications in nonlinear wave euations, Chaos Solitons Fractals 21 (2004) 4, 1013-1021. Preprint version available at http://www.mmrc.iss.ac.cn/pub/mm22.pdf/19.pdf

D. Baldwin, U. Goktas, W. Hereman, L. Hong, R. S. Martino &: J. C. Miller, Symbolic com putation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PD Fs, J. Symbolic Compt. 37 (2004) 6, 669- 705; Preprint version: nlin.SI/0201008 (arXiv.org)

A. Salas & C. Gomez, El Software mathematica en la búsqueda de soluciones exactas de ecuaciones diferenciales no lineales en derivadas parciales mediante la ecuación de Riccati, Memorias Primer Seminario Internacional de Tecnologías en Educación Matemática, Universidad Pedagógica Nacional 1 (2005), 379-387

A. Sergyeyev, Zero curvature representation for a new fifth-order integrable system, to appear in Fund. Prink. Mat. 12 2006 (in Russian); English translation to appear in J. Math. Sci.; preprint version (in English): nlin.SI/0604064 (arXiv.org)

N. A. Kudryashov, Nonlinear differential equations with exact solutions expressed via the Weierstrass function, Z. Naturforsch. A 59 (2004) 7-8, 443-454. Preprint version: nlin.CD/0312035 (arXiv.org)

E. Fan & Y. C. Hon, Generalized tanh Method Extended to Special Types of Nonlinear Equations, Z. Naturforsch. A 57(2002) 8, 692-700.

L. Zhi, Y. Notake, H. Kai, M. T. Noda & K. I. Shiraishi, Hibrid method for solving Polinomial Equations, NLA99: Computer algebra (Saitama, 1999), 91-104, Josai Math. Monogr. 2, Josai Univ. Sakado, 2000. Preprint version available at http://www.mmrc.iss.ac.cn/~lzhi/Publications/atcm99.pdf

A. V. Mikhailov, V. Novikov & J. P. Wang, On clasification of integrable non evolutionary equation, Preprint: nlin.SI/0601046 (arXiv.org)

D. J. Kaup, On the inverse scattering problem for cubic eingevalue problems of the class Φxxx + 6qΦx + 6rΦ = λΦ, Stud. Appl. Math. 62 (1980), 189-216.

Cómo citar

APA

Gómez S., C. A. (2006). Exact solutions for a new fifth-order integrable system. Revista Colombiana de Matemáticas, 40(2), 119–125. https://revistas.unal.edu.co/index.php/recolma/article/view/94716

ACM

[1]
Gómez S., C.A. 2006. Exact solutions for a new fifth-order integrable system. Revista Colombiana de Matemáticas. 40, 2 (jul. 2006), 119–125.

ACS

(1)
Gómez S., C. A. Exact solutions for a new fifth-order integrable system. rev.colomb.mat 2006, 40, 119-125.

ABNT

GÓMEZ S., C. A. Exact solutions for a new fifth-order integrable system. Revista Colombiana de Matemáticas, [S. l.], v. 40, n. 2, p. 119–125, 2006. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/94716. Acesso em: 22 ene. 2025.

Chicago

Gómez S., César A. 2006. «Exact solutions for a new fifth-order integrable system». Revista Colombiana De Matemáticas 40 (2):119-25. https://revistas.unal.edu.co/index.php/recolma/article/view/94716.

Harvard

Gómez S., C. A. (2006) «Exact solutions for a new fifth-order integrable system», Revista Colombiana de Matemáticas, 40(2), pp. 119–125. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/94716 (Accedido: 22 enero 2025).

IEEE

[1]
C. A. Gómez S., «Exact solutions for a new fifth-order integrable system», rev.colomb.mat, vol. 40, n.º 2, pp. 119–125, jul. 2006.

MLA

Gómez S., C. A. «Exact solutions for a new fifth-order integrable system». Revista Colombiana de Matemáticas, vol. 40, n.º 2, julio de 2006, pp. 119-25, https://revistas.unal.edu.co/index.php/recolma/article/view/94716.

Turabian

Gómez S., César A. «Exact solutions for a new fifth-order integrable system». Revista Colombiana de Matemáticas 40, no. 2 (julio 1, 2006): 119–125. Accedido enero 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/94716.

Vancouver

1.
Gómez S. CA. Exact solutions for a new fifth-order integrable system. rev.colomb.mat [Internet]. 1 de julio de 2006 [citado 22 de enero de 2025];40(2):119-25. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/94716

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