Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations

Joint Authors

Sayed, A.
Seadawy, A. R.
Amer, W.

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-24

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

The Olver equation is governing a unidirectional model for describing long and small amplitude waves in shallow water waves.

The solitary wave solutions of the Olver and fifth-order KdV equations can be obtained by using extended tanh and sech-tanh methods.

The present results are describing the generation and evolution of such waves, their interactions, and their stability.

Moreover, the methods can be applied to a wide class of nonlinear evolution equations.

All solutions are exact and stable and have applications in physics.

American Psychological Association (APA)

Seadawy, A. R.& Amer, W.& Sayed, A.. 2014. Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-502302

Modern Language Association (MLA)

Seadawy, A. R.…[et al.]. Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-502302

American Medical Association (AMA)

Seadawy, A. R.& Amer, W.& Sayed, A.. Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-502302

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-502302