Abstract and Applied Analysis

A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients

Afgan Aslanov

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2015, Special Issue (2015), Article ID 628310, 7 pages.

Dates
First available in Project Euclid: 13 October 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1444742646

Digital Object Identifier
doi:10.1155/2015/628310

Mathematical Reviews number (MathSciNet)
MR3407011

Zentralblatt MATH identifier
1348.35215

Citation

Aslanov, Afgan. A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients. Abstr. Appl. Anal. 2015, Special Issue (2015), Article ID 628310, 7 pages. doi:10.1155/2015/628310. https://projecteuclid.org/euclid.aaa/1444742646


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