Classification of Multiply Travelling Wave Solutions for Coupled Burgers, Combined KdV-Modified KdV, and Schrödinger-KdV Equations

Joint Authors

El-Rashidy, K.
Seadawy, A. R.

Source

Abstract and Applied Analysis

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-03-25

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

Some explicit travelling wave solutions to constructing exact solutions of nonlinear partial differential equations of mathematical physics are presented.

By applying a theory of Frobenius decompositions and, more precisely, by using a transformation method to the coupled Burgers, combined Korteweg-de Vries- (KdV-) modified KdV and Schrödinger-KdV equation is written as bilinear ordinary differential equations and two solutions to describing nonlinear interaction of travelling waves are generated.

The properties of the multiple travelling wave solutions are shown by some figures.

All solutions are stable and have applications in physics.

American Psychological Association (APA)

Seadawy, A. R.& El-Rashidy, K.. 2015. Classification of Multiply Travelling Wave Solutions for Coupled Burgers, Combined KdV-Modified KdV, and Schrödinger-KdV Equations. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1052026

Modern Language Association (MLA)

Seadawy, A. R.& El-Rashidy, K.. Classification of Multiply Travelling Wave Solutions for Coupled Burgers, Combined KdV-Modified KdV, and Schrödinger-KdV Equations. Abstract and Applied Analysis No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1052026

American Medical Association (AMA)

Seadawy, A. R.& El-Rashidy, K.. Classification of Multiply Travelling Wave Solutions for Coupled Burgers, Combined KdV-Modified KdV, and Schrödinger-KdV Equations. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1052026

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1052026