Periodic and Solitary-Wave Solutions for a Variant of the K(3,2)‎ Equation

Joint Authors

Zhou, Jiangbo
Li-xin, Tian

Source

International Journal of Differential Equations

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-10-31

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

We employ the bifurcation method of planar dynamical systems and qualitative theory of polynomial differential systems to derive new bounded traveling-wave solutions for a variant of the K(3,2) equation.

For the focusing branch, we obtain hump-shaped and valley-shaped solitary-wave solutions and some periodic solutions.

For the defocusing branch, the nonexistence of solitary traveling wave solutions is shown.

Meanwhile, some periodic solutions are also obtained.

The results presented in this paper supplement the previous results.

American Psychological Association (APA)

Zhou, Jiangbo& Li-xin, Tian. 2011. Periodic and Solitary-Wave Solutions for a Variant of the K(3,2) Equation. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-482595

Modern Language Association (MLA)

Zhou, Jiangbo& Li-xin, Tian. Periodic and Solitary-Wave Solutions for a Variant of the K(3,2) Equation. International Journal of Differential Equations No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-482595

American Medical Association (AMA)

Zhou, Jiangbo& Li-xin, Tian. Periodic and Solitary-Wave Solutions for a Variant of the K(3,2) Equation. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-482595

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-482595