A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients
We are interested in the approximate analytical solutions of the wave-like nonlinear equations with variable coefficients. We use a wave operator, which provides a convenient way of controlling all initial and boundary conditions. The proposed choice of the auxiliary operator helps to find the appro...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/628310 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849408049241915392 |
|---|---|
| author | Afgan Aslanov |
| author_facet | Afgan Aslanov |
| author_sort | Afgan Aslanov |
| collection | DOAJ |
| description | We are interested in the approximate analytical solutions of the wave-like
nonlinear equations with variable coefficients. We use a wave operator,
which provides a convenient way of controlling all initial and boundary
conditions. The proposed choice of the auxiliary operator helps to find the
approximate series solution without any discretization, linearization, or
restrictive assumptions. Several examples are given to verify the
reliability and efficiency of the method. |
| format | Article |
| id | doaj-art-3f064e1921ae4841aeff9f77a42e1d69 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3f064e1921ae4841aeff9f77a42e1d692025-08-20T03:35:53ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/628310628310A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable CoefficientsAfgan Aslanov0Mathematics and Computing Department, Beykent University, 34396 Istanbul, TurkeyWe are interested in the approximate analytical solutions of the wave-like nonlinear equations with variable coefficients. We use a wave operator, which provides a convenient way of controlling all initial and boundary conditions. The proposed choice of the auxiliary operator helps to find the approximate series solution without any discretization, linearization, or restrictive assumptions. Several examples are given to verify the reliability and efficiency of the method.http://dx.doi.org/10.1155/2015/628310 |
| spellingShingle | Afgan Aslanov A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients Abstract and Applied Analysis |
| title | A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients |
| title_full | A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients |
| title_fullStr | A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients |
| title_full_unstemmed | A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients |
| title_short | A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients |
| title_sort | homotopy analysis approach for nonlinear wave like equations with variable coefficients |
| url | http://dx.doi.org/10.1155/2015/628310 |
| work_keys_str_mv | AT afganaslanov ahomotopyanalysisapproachfornonlinearwavelikeequationswithvariablecoefficients AT afganaslanov homotopyanalysisapproachfornonlinearwavelikeequationswithvariablecoefficients |