A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients. (1st October 2015)

• Record Type: Journal Article
• Authors: Aslanov, Afgan
• Other Names: Naz R. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2015(2015)
• Publication Date: 2015-10-01
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2015/628310
• Languages: English
• ISSNs: 1085-3375

Abstract

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.