zbMATH — the first resource for mathematics

Examples
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.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
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)
The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations. (English) Zbl 1115.65106
Summary: The extended tanh method is used to derive new solitons solutions for several forms of the fifth-order nonlinear Korteweg-de Vries (KdV) equation. The forms include the Lax, Sawada-Kotera, Sawada-Kotera-Parker-Dye, Kaup-Kupershmidt, Kaup-Kupershmidt-Parker-Dye, and the Ito equations. The criteria established by the author [ibid. 182, No. 1, 283–300 (2006; Zbl 1107.65092)] to build up reliable relations between the parameters of the equation are confirmed by using this new approach. Entirely new bell shaped solitons are determined.
MSC:
65M70Spectral, collocation and related methods (IVP of PDE)
35Q51Soliton-like equations
35Q53KdV-like (Korteweg-de Vries) equations