Title of article
The application of bifurcation method to a higher-order KdV equation ✩
Author/Authors
Zhengrong Liu، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2002
Pages
12
From page
1
To page
12
Abstract
Bifurcation method of dynamical systems is employed to investigate bifurcation of
solitary waves in the higher-order KdV equation
ut + aunux +uxxx = 0,
where n 1 and a ∈ R. Numbers of solitary waves are given for each parameter condition.
Under some parameter conditions, explicit solitary wave solutions are obtained. Specially,
some new solitary wave solutions are found for KdV or MKdV equation.
2002 Elsevier Science (USA). All rights reserved.
Keywords
Bifurcation of phase portraits , Solitary waves , explicit solutions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2002
Journal title
Journal of Mathematical Analysis and Applications
Record number
930228
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