Application of the Homotopy Analysis Method for Solving the Variable Coefficient KdV-Burgers Equation

Joint Authors

Liu, Jie
Lu, Dianchen

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-4, 4 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-27

Country of Publication

Egypt

No. of Pages

4

Main Subjects

Mathematics

Abstract EN

The homotopy analysis method is applied to solve the variable coefficient KdV-Burgers equation.

With the aid of generalized elliptic method and Fourier’s transform method, the approximate solutions of double periodic form are obtained.

These solutions may be degenerated into the approximate solutions of hyperbolic function form and the approximate solutions of trigonometric function form in the limit cases.

The results indicate that this method is efficient for the nonlinear models with the dissipative terms and variable coefficients.

American Psychological Association (APA)

Lu, Dianchen& Liu, Jie. 2014. Application of the Homotopy Analysis Method for Solving the Variable Coefficient KdV-Burgers Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1033676

Modern Language Association (MLA)

Lu, Dianchen& Liu, Jie. Application of the Homotopy Analysis Method for Solving the Variable Coefficient KdV-Burgers Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-4.
https://search.emarefa.net/detail/BIM-1033676

American Medical Association (AMA)

Lu, Dianchen& Liu, Jie. Application of the Homotopy Analysis Method for Solving the Variable Coefficient KdV-Burgers Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1033676

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033676