Open AccessNew type of exact solitary wave solutions for dispersive long-wave equation and Benjamin equation
Author(s) -
Taogetusang,
Sirendaoreji
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.3246
Subject(s) - sinusoidal plane wave solutions of the electromagnetic wave equation , hyperbolic function , wave equation , physics , cnoidal wave , homogeneous , algebraic equation , nonlinear system , dispersive partial differential equation , basis (linear algebra) , characteristic equation , function (biology) , periodic wave , mathematical analysis , electromagnetic wave equation , mathematics , partial differential equation , statistical physics , quantum mechanics , geometry , evolutionary biology , magnetic field , optical field , biology
On the basis of homogeneous balance method, tanh-function method and auxiliary equation method, new types of exact solitary wave solutions of the dispersive long-wave equation and Benjamin equation are constructed by using a new auxiliary equation and with the aid of computer algebraic system Mathematica in this paper. This method also can be used to find new solitary wave solutions of other nonlinear evolution equations.