Title :
The Algebraic Method with Computerized Symbolic Computation for Travelling Wave Solutions of the Generalized KP-BBM Equation
Author :
Shuangyan Quan ; Jing Zhang
Author_Institution :
Coll. of Math. & Comput. Sci., Shaanxi Univ. of Technol., Hanzhong, China
Abstract :
The algebraic method with computerized symbolic computation is applied to construct a series of travelling wave solutions for the generalized KP_BBM equation. Compared with most existing symbolic computation methods such as tanh method and sine-cosine method gives new and more general solutions. And the result implies that the tupes of the solution not only depend on the parameters of the nonlinear equation, but also depend on the sign of the exponent n.
Keywords :
algebra; nonlinear equations; partial differential equations; symbol manipulation; algebraic method; computerized symbolic computation; generalized KP-BBM equation; nonlinear equation; travelling wave solutions; Computational intelligence; Differential equations; Educational institutions; Polynomials; Security; Compacton; KP-BBMequation; Periodic wave solution; Solitary wave solution; Travelling wave equation;
Conference_Titel :
Computational Intelligence and Security (CIS), 2012 Eighth International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4673-4725-9
DOI :
10.1109/CIS.2012.104
