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

Joint Authors

He, Bin
Long, Yao
Meng, Qing
Zhang, Jinhua

Source

Mathematical Problems in Engineering

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-04-08

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Civil Engineering

Abstract EN

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.

American Psychological Association (APA)

He, Bin& Meng, Qing& Zhang, Jinhua& Long, Yao. 2012. Periodic Loop Solutions and Their Limit Forms for the Kudryashov-Sinelshchikov Equation. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-1001500

Modern Language Association (MLA)

He, Bin…[et al.]. Periodic Loop Solutions and Their Limit Forms for the Kudryashov-Sinelshchikov Equation. Mathematical Problems in Engineering No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-1001500

American Medical Association (AMA)

He, Bin& Meng, Qing& Zhang, Jinhua& Long, Yao. Periodic Loop Solutions and Their Limit Forms for the Kudryashov-Sinelshchikov Equation. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-1001500

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1001500