Analytical Solutions for the Elastic Circular Rod Nonlinear Wave, Boussinesq, and Dispersive Long Wave Equations. (17th April 2014)

• Record Type: Journal Article
• Authors: Jing, Shi; Xin-li, Yan
• Other Names: Meylan Michael Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-04-17
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/487571
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : The solving processes of the homogeneous balance method, Jacobi elliptic function expansion method, fixed point method, and modified mapping method are introduced in this paper. By using four different methods, the exact solutions of nonlinear wave equation of a finite deformation elastic circular rod, Boussinesq equations and dispersive long wave equations are studied. In the discussion, the more physical specifications of these nonlinear equations, have been identified and the results indicated that these methods (especially the fixed point method) can be used to solve other similar nonlinear wave equations.