Correo Electrónico
DNINFOA - SIA
Bibliotecas
Convocatorias
Identidad U.N.
Published
Exact solutions for a new fifth-order integrable system
Keywords:
Nonlinear differential equation, Travelling wave solution, Generalized tanh method (en)Downloads
Abstract. We consider a new fifth-order integrable system. The exact solutions are obtained by the generalized tanh method.
References
R. Conte & M. Musette, Link betwen solitary waves and projective Riccati equations, J. Phys. A Math. 25 (1992), 5609-5623.
E. Inc & M. Ergüt, New Exact Tavelling Wave Solutions for Compound KdV-Burgers Equation in Mathematical Physics, Applied Mathematics E-Notes 2 (2002), 45-50.
J. Mei, H. Zhang & D. Jiang, New exact solutions for a Reaction-Diffusion equation and a Quasi-Camassa-Holm Equation, Applied Mathematics E-Notes 4 (2004), 85-91.
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.
