zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Solitons and periodic solutions for the fifth-order KdV equation with the Exp-function method. (English) Zbl 1220.35148
Summary: In this Letter the Exp-function method is applied to obtain new generalized solitonary solutions and periodic solutions of the fifth-order KdV equation. It is shown that the Exp-function method, with the help of symbolic computation, provides a powerful mathematical tool for solving nonlinear equations arising in mathematical physics.

35Q53KdV-like (Korteweg-de Vries) equations
35Q51Soliton-like equations
35B10Periodic solutions of PDE
Full Text: DOI
[1] Wazwaz, A. M.: Chaos solitons fractals. 25, No. 1, 55 (2005)
[2] Wazwaz, A. M.: Int. J. Comput. math.. 81, No. 9, 1107 (2004)
[3] Ren, Y. J.; Zhang, H. Q.: Chaos solitons fractals. 27, No. 4, 959 (2006)
[4] He, J. H.; Wu, X. H.: Chaos solitons fractals. 29, No. 1, 108 (2006)
[5] Momani, S.; Abuasad, S.: Chaos solitons fractals. 27, No. 5, 1119 (2006)
[6] He, J. H.: Chaos solitons fractals. 26, No. 3, 695 (2005)
[7] El-Shahed, M.: Int. J. Nonlinear sci. Numer. simul.. 6, 163 (2005)
[8] Liao, S. J.: Beyond perturbation: introduction to the homotopy analysis method. (2003)
[9] Liao, S. J.: J. fluid mech.. 488, 189 (2003)
[10] He, J. H.: Int. J. Mod. phys. B. 20, No. 10, 1141 (2006)
[11] He, J. H.; Wu, X. H.: Chaos solitons fractals. 30, No. 3, 700 (2006)
[12] Zhang, S.: Phys. lett. A. 365, 448 (2007)
[13] S. Zhang, Chaos Solitons Fractals, doi:10.1016/j.chaos.2006.11.014, in press
[14] Ebaid, A.: Phys. lett. A. 365, 213 (2007)
[15] El-Wakil, S. A.; Abdou, S. A.: Phys. lett. A. 369, 62 (2007)
[16] Zhu, S. D.: Int. J. Nonlinear sci. Numer. simul.. 8, No. 3, 461 (2007)
[17] Zhu, S. D.: Int. J. Nonlinear sci. Numer. simul.. 8, No. 3, 465 (2007)
[18] Bekir, A.; Boz, A.: J. nonlinear sci. Numer. simul.. 8, No. 4, 505 (2007)
[19] Yusufoglu, E.: Phys. lett. A. 372, 442 (2008)
[20] Lax, P. D.: Commun. pure appl. Math.. 28, 141 (1975)
[21] Wazwaz, A. M.: Appl. math. Lett.. 19, 1162 (2006)
[22] Abbasbandy, S.; Zakaria, F. S.: Nonlinear dyn.. 51, 83 (2008)