Application of the Sub-Ode Method for the Broer-Kaup Equation

Abstract:

Based upon a generally sub-ode method, which is a direct and unified algebraic method for constructing more general form travelling wave solutions of nonlinear partial differential equations (PDEs) and implemented in a computer algebraic system, we consider the shallow long wave approximate equations (BK).New and more general form solutions are obtained, including kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions. The properties of the new formal solitary wave solutions are shown by some figures.

• Periodical: Advanced Materials Research (Volumes 760-762)
• Pages: 1655-1660
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.760-762.1655
• Online since: September 2013
• Authors: Qing Wu Zeng, Yin Li
• Keywords: Broer-Kaup Equation, Exact Solutions, Sub-ODE Method

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