Bifurcation and solitary-like solutions for compound KdV-Burgers-type equation
type: Item
instance of: scholarly article
title: Bifurcation and solitary-like solutions for compound KdV-Burgers-type equation
zbMATH Open document ID: 1418.35327
DOI: 10.1155/2015/571672
author: Yin Li
author: Ruiying Wei
author: Guoming Jian
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: Firstly, based on the improved sub-ODE method and the bifurcation method of dynamical systems, we investigate the bifurcation of solitary waves in the compound KdV-Burgers-type equation. Secondly, numbers of solitary patterns solutions are given for each parameter condition and numerical simulations are used to display the dynamical characteristics. Finally, we obtain twelve solitary patterns solutions under some parameter conditions, such as the trigonometric function solutions and the hyperbolic function solutions.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 7025403
Wikidata QID: Q59105990
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/571672
OpenAlex ID: W2059972621
cites work: Wave propagation in nonlinear lattice. I
cites work: Oscillatory instability of traveling waves for a KdV-Burgers equation
cites work: Exact solitary wave solutions of the generalized \((2+1)\) dimensional Boussinesq equation
cites work: Solitary wave solutions and kink wave solutions for a generalized KdV-mKdV equation
cites work: On the extended KdV equation with self-consistent sources
cites work: Q3617787
cites work: Simple soliton solution method for the combined KdV and mKdV equation
cites work: Singular solution in a damped double sinh-Gordon system
cites work: On Series Expansions Giving Closed-Form Solutions of Korteweg–de Vries-Like Equations
cites work: Auto-Bäcklund transformation and exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
cites work: Q5413502
cites work: Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
cites work: PEAKONS AND THEIR BIFURCATION IN A GENERALIZED CAMASSA–HOLM EQUATION
cites work: The application of bifurcation method to a higher-order KdV equation
cites work: Solitary wave solutions and kink wave solutions for a generalized PC equation
cites work: Four types of bounded wave solutions of CH-\(\gamma\) equation
cites work: A note on solitary waves for modified forms of Camassa-Holm and Degasperis-Procesi equations
cites work: New exact solutions for two nonlinear equations
cites work: Explicit peakon and solitary wave solutions for the modified Fornberg-Whitham equation
cites work: Exact and numerical traveling wave solutions of Whitham-Broer-Kaup equations
cites work: The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
cites work: A sub-ODE method for finding exact solutions of a generalized KdV-mKdV equation with high-order nonlinear terms
cites work: General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers-type equations with nonlinear terms of any order
cites work: Symbolic Computation and Construction of Soliton-Like Solutions to the (2+1)-Dimensional Breaking Soliton Equation
cites work: Symbolic computation and construction of soliton-like solutions for a breaking soliton equation.
cites work: Explicit exact solutions for new general two-dimensional KdV-type and two-dimensional KdV Burgers-type equations with nonlinear terms of any order
cites work: Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres.
cites work: SOME NOVEL EVOLUTIONAL BEHAVIORS OF LOCALIZED EXCITATIONS IN THE BOITI–LEON–MARTINA–PEMPINELLI SYSTEM
cites work: Qualitative behavior and exact travelling wave solutions of the Zhiber-Shabat equation
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description: scientific article; zbMATH DE number 7025403