Title :
Construction of Travelling Wave Solutions to Kp-type Equation Based on Mathematica
Author :
Diao, Qun ; Wang, Junmin
Author_Institution :
Sch. of Math. & Inf. Sci., Pingdingshan Univ., Pingdingshan, China
Abstract :
The (2+1)-dimensional KP-type equation arising from the soliton hierarchy associated with new spectral problem is studied, it is the compatible condition of Lax triad. With the aid of symbolic computation system Mathematica, many exact solutions for the (2+1)-dimensional KP-type equation are constructed by using modified F-expansion method, including soliton-like solutions, trigonometric function solutions an rational solution.
Keywords :
mathematics computing; nonlinear equations; symbol manipulation; (2+1)-dimensional KP-type equation; Lax triad; Mathematica; modified F-expansion method; nonlinear equation; soliton-like solution; spectral problem; symbolic computation system; travelling wave solution; trigonometric function solution; Computers; Mathematical model; Nonlinear equations; Riccati equations; Solitons; Numerical Methods; rational solution; soliton hierarchy; soliton-like solutions; trigonometric function solutions;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2010 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-8814-8
Electronic_ISBN :
978-0-7695-4270-6
DOI :
10.1109/ICCIS.2010.283
