A New Auto-Bäcklund Transformation of the KdV Equation with General Variable Coefficients and Its Application

Author

Liu, Chunping

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-07-03

Country of Publication

Egypt

No. of Pages

5

Main Subjects

Mathematics

Abstract EN

First, by improving some key steps in the homogeneous balance method, a new auto-Bäcklund transformation (BT) to the KdV equation with general variable coefficients is derived.

The new auto-BT in this paper does not require the coefficients of the equation to be linearly dependent.

Then, based on the new auto-BT in which there is only one quadratic homogeneity equation to be solved, an exact soliton-like solution containing 2-solitary wave is given.

American Psychological Association (APA)

Liu, Chunping. 2014. A New Auto-Bäcklund Transformation of the KdV Equation with General Variable Coefficients and Its Application. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014284

Modern Language Association (MLA)

Liu, Chunping. A New Auto-Bäcklund Transformation of the KdV Equation with General Variable Coefficients and Its Application. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1014284

American Medical Association (AMA)

Liu, Chunping. A New Auto-Bäcklund Transformation of the KdV Equation with General Variable Coefficients and Its Application. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014284

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1014284