EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR THE KUDRYASHOV–SINELSHCHIKOV EQUATION-Reference-Cited by-同舟云学术

EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR THE KUDRYASHOV–SINELSHCHIKOV EQUATION

Published:2012-05 Issue:05 Volume:22 Page:1250118
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

LI JIBIN¹²,CHEN GUANRONG³

Affiliation:

1. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, P. R. China

2. Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming, Yunnan, 650093, P. R. China

3. Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China

Abstract

By using the approach of dynamical systems, the bifurcations of phase portraits for the traveling system of the Kudryashov–Sinelshchikov equation with ν = δ = 0 are studied, in different parametric regions of (α, c)-parametric plane. Corresponding to different phase orbits of the traveling system, more than 26 exact explicit traveling wave solutions are derived. The dynamics of singular nonlinear traveling system is completely determined.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127412501180

Reference12 articles.

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2. Handbook of Elliptic Integrals for Engineers and Scientists

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4. Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer

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