Author:
Chen Hanlin,Xu Zhenhui,Dai Zhengde
Abstract
Purpose
– The purpose of this paper is to reveal dynamical behavior of nonlinear wave by searching for the new breather soliton and cross two-soliton solutions of the fifth-order Caudrey-Dodd-Gibbon (CDG) equation.
Design/methodology/approach
– The authors apply bilinear form and extended homoclinic test approach to the fifth-order CDG equation.
Findings
– In this paper, by using bilinear form and extended homoclinic test approach, the authors obtain new breather soliton and cross two-soliton solutions of the fifth-order CDG equation. It is shown that the extended homoclinic test approach, with the help of symbolic computation, provides an effective and powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.
Research limitations/implications
– The research manifests that the structures of the solution to nonlinear equations are diversified and complicated.
Originality/value
– The methods used in this paper can be widely applied to the research of spatial and temporal characteristics of nonlinear equations in physics and engineering technology. These methods are also conducive for people to know objective laws and grasp the essential features of the development of the world.
Subject
Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials
Reference8 articles.
1. Aiyer, R.N.
,
Fuchssteiner, B.
and
Oevel, W.
(1986), “Solitons and discrete eigenfunctions of the recursion operator of non-linear evolution equations: the Caudrey-dodd-gibbon-sawada-kotera equations”,
J. Phys. A: Math. General
, Vol. 19 No. 3, pp. 3755-3770.
2. Dai, Z.D.
,
Huang, J.
,
Jiang, M.R.
and
Wang, S.H.
(2005), “Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint”,
Chaos Soliton and Fractals
, Vol. 26 No. 4, pp. 1189-1194.
3. Dai, Z.D.
,
Liu, J.
and
Li, D.
(2009), “Applications of HTA and EHTA to YTSF equation extended three-soliton method”,
Appl. Math. Comput
, Vol. 207 No. 2, pp. 360-364.
4. Dai, Z.D.
,
Liu, J.
and
Liu, Z.J.
(2010), “Exact periodic kink-wave and degenerative soliton solutions for potential Kadomtsev-Petviashvili equation, commum”,
Nonlinear Sci. Numer. Simulat
, Vol. 15 No. 9, pp. 2331-2336.
5. He, J.H.
(2006), “New interpretation of homotopy perturbation method”,
Int. J. Mod. Phys. B
, Vol. 20 No. 2, pp. 2561-2568.
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