New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation

Joint Authors

Liu, Changfu
Wang, Chuanjian
Dai, Zhengde
Liu, Jun

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-16

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

A new method, homoclinic breather limit method (HBLM), for seeking rogue wave solution of nonlinear evolution equation is proposed.

A new family of homoclinic breather wave solution, and rational homoclinic solution (homoclinic rogue wave) for DSI and DSII equations are obtained using the extended homoclinic test method and homoclinic breather limit method (HBLM), respectively.

Moreover, rogue wave solution is exhibited as period of periodic wave in homoclinic breather wave approaches to infinite.

This result shows that rogue wave can be generated by extreme behavior of homoclinic breather wave for higher dimensional nonlinear wave fields.

American Psychological Association (APA)

Liu, Changfu& Wang, Chuanjian& Dai, Zhengde& Liu, Jun. 2014. New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014247

Modern Language Association (MLA)

Liu, Changfu…[et al.]. New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1014247

American Medical Association (AMA)

Liu, Changfu& Wang, Chuanjian& Dai, Zhengde& Liu, Jun. New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014247

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1014247