Solitary Wave Solutions, Periodic Wave Solutions and Folded Localized Excitations for the Dissipative Zabolotskaya-Khokhlov System

Abstract:

The mapping approach is a powerful tool to looking for the exact solutions for nonlinear partial differential equations. In this paper, using an improved mapping approach, a series of exact solutions (including solitary wave solutions and periodic wave solutions) of the (2+1)-dimensional dissipative Zabolotskaya Khokhlov (DZK) system is derived. Based on the derived solitary wave solution, we obtain some folded localized excitations of the DZK system.

• Periodical: Applied Mechanics and Materials (Volumes 599-601)
• Pages: 1712-1715
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.599-601.1712
• Online since: August 2014
• Authors: Qing Bao Ren, Song Hua Ma*, Jian Ping Fang
• Keywords: DZK System, Exact Solutions, Improved Mapping Approach, Localized Excitations

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