Bifurcation of Traveling Wave Solutions for a Two-Component Generalized θ-Equation

Author

Wen, Zhenshu

Source

Mathematical Problems in Engineering

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-12-13

Country of Publication

Egypt

No. of Pages

17

Main Subjects

Civil Engineering

Abstract EN

We study the bifurcation of traveling wave solutions for a two-component generalized θ-equation.

We show all the explicit bifurcation parametric conditions and all possible phase portraits of the system.

Especially, the explicit conditions, under which there exist kink (or antikink) solutions, are given.

Additionally, not only solitons and kink (antikink) solutions, but also peakons and periodic cusp waves with explicit expressions, are obtained.

American Psychological Association (APA)

Wen, Zhenshu. 2012. Bifurcation of Traveling Wave Solutions for a Two-Component Generalized θ-Equation. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1001742

Modern Language Association (MLA)

Wen, Zhenshu. Bifurcation of Traveling Wave Solutions for a Two-Component Generalized θ-Equation. Mathematical Problems in Engineering No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-1001742

American Medical Association (AMA)

Wen, Zhenshu. Bifurcation of Traveling Wave Solutions for a Two-Component Generalized θ-Equation. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1001742

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1001742