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Mathematical Problems in Engineering
Article . 2012 . Peer-reviewed
License: CC BY
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Mathematical Problems in Engineering
Article
License: CC BY
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Article . 2012
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Periodic Loop Solutions and Their Limit Forms for the Kudryashov‐Sinelshchikov Equation

Periodic loop solutions and their limit forms for the Kudryashov-Sinelshchikov equation
Authors: He, Bin; Meng, Qing; Zhang, Jinhua; Long, Yao;

Periodic Loop Solutions and Their Limit Forms for the Kudryashov‐Sinelshchikov Equation

Abstract

The Kudryashov‐Sinelshchikov equation is studied by using the bifurcation method of dynamical systems and the method of phase portraits analysis. We show that the limit forms of periodic loop solutions contain loop soliton solutions, smooth periodic wave solutions, and periodic cusp wave solutions. Also, some new exact travelling wave solutions are presented through some special phase orbits.

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Keywords

KdV equations (Korteweg-de Vries equations), Soliton solutions, Traveling wave solutions, Periodic solutions to PDEs

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
19
Top 10%
Top 10%
Top 10%
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